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|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1405.1424
|
{\Dj}or{\dj}e Radi\v{c}evi\'c
|
Dionysios Anninos, Raghu Mahajan, Djordje Radicevic, Edgar Shaghoulian
|
Chern-Simons-Ghost Theories and de Sitter Space
|
27 pages + appendices, 6 figures
| null |
10.1007/JHEP01(2015)074
|
SU-ITP 14/11
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We explore Chern-Simons theories coupled to fundamental ghost-like matter in
the large $N$ limit at 't Hooft coupling $\lambda$. These theories have been
conjectured to be holographically dual to parity-violating, asymptotically
dS$_4$ universes with a tower of light higher-spin fields. On $\mathbb{R}^3$,
to all orders in large-$N$ perturbation theory, we show that Chern-Simons-ghost
theories are related to ordinary Chern-Simons-matter theories by mapping $N
\rightarrow - N$ and keeping $\lambda$ fixed. Consequently, the bosonization
duality of ordinary Chern-Simons-matter theories extends to a bosonization
duality of Chern-Simons-ghost theories on $\mathbb R^3$. On $S^1 \times S^2$,
in the small-$S^1$ limit, neither $N \rightarrow -N$ nor bosonization hold, as
we show by extensively studying large-$N$ saddles of the theories with both
ghost and ordinary matter. The partition functions we compute along the way can
be viewed as pieces of the late-time Hartle-Hawking wavefunction for the bulk
dS$_4$ gravity theories.
|
[
{
"created": "Tue, 6 May 2014 20:00:23 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Anninos",
"Dionysios",
""
],
[
"Mahajan",
"Raghu",
""
],
[
"Radicevic",
"Djordje",
""
],
[
"Shaghoulian",
"Edgar",
""
]
] |
We explore Chern-Simons theories coupled to fundamental ghost-like matter in the large $N$ limit at 't Hooft coupling $\lambda$. These theories have been conjectured to be holographically dual to parity-violating, asymptotically dS$_4$ universes with a tower of light higher-spin fields. On $\mathbb{R}^3$, to all orders in large-$N$ perturbation theory, we show that Chern-Simons-ghost theories are related to ordinary Chern-Simons-matter theories by mapping $N \rightarrow - N$ and keeping $\lambda$ fixed. Consequently, the bosonization duality of ordinary Chern-Simons-matter theories extends to a bosonization duality of Chern-Simons-ghost theories on $\mathbb R^3$. On $S^1 \times S^2$, in the small-$S^1$ limit, neither $N \rightarrow -N$ nor bosonization hold, as we show by extensively studying large-$N$ saddles of the theories with both ghost and ordinary matter. The partition functions we compute along the way can be viewed as pieces of the late-time Hartle-Hawking wavefunction for the bulk dS$_4$ gravity theories.
|
hep-ph/0506111
|
V Braguta
|
V.V.Braguta
|
Transverse positron polarization in the $\mu^+ \to e^+ \bar{\nu_\mu}
\nu_e$ decay in SM
|
6 pages, 4 figures, minor typos fixed
|
Phys.Lett. B625 (2005) 41-46
|
10.1016/j.physletb.2005.08.055
| null |
hep-ph
| null |
In this paper transverse positron polarization in the $\mu^+ \to e^+ \bar
{\nu_{\mu}} \nu_e$ decay in the framework of SM is considered. It is shown that
the final state interaction effect leads to nonzero transverse polarization.
Numerical value of the considered effect proved to be negligible. Thus SM
contribution to the transverse positron polarization in the $\mu^+ \to e^+ \bar
{\nu_{\mu}} \nu_e$ decay will not be the obstacle to a new physics searches.
|
[
{
"created": "Sat, 11 Jun 2005 15:56:08 GMT",
"version": "v1"
},
{
"created": "Tue, 14 Jun 2005 16:10:54 GMT",
"version": "v2"
}
] |
2009-11-11
|
[
[
"Braguta",
"V. V.",
""
]
] |
In this paper transverse positron polarization in the $\mu^+ \to e^+ \bar {\nu_{\mu}} \nu_e$ decay in the framework of SM is considered. It is shown that the final state interaction effect leads to nonzero transverse polarization. Numerical value of the considered effect proved to be negligible. Thus SM contribution to the transverse positron polarization in the $\mu^+ \to e^+ \bar {\nu_{\mu}} \nu_e$ decay will not be the obstacle to a new physics searches.
|
hep-th/0312107
|
Trilochan Pradhan
|
T. Pradhan
|
Magneto-electric Effect and Magnetic Charge
| null | null | null | null |
hep-th
| null |
It is shown that both the electric and magnetic dipole moment vectors of
hydrogen atom in the excited states with wave function $$ u_n^{(\pm)} =
{1\over\sqrt 2} [R_{n,n-1}(r) Y_{n-1,\pm (n-2)}(\theta\phi) \pm R_{n,n-2}(r)
Y_{n-2,\pm (n-2)}(\theta\phi)]$$ align themselves in the direction of an
external uniform electric field which is characteristic of magneto-electric
effect. These states are found to have magnetic charge $g={3n\over (n-2)e}$ on
account of this effect. This result is confirmed by an independent method. An
experiment is suggested to fabricate these states and detect the magnetic
charge. It ma be worth noting that inspite of many experimental searchs,
magnetic charge, whose existence has been theorized both in electrodynamics and
non-abelian gauge theories, none have been found so far, nor there exist any
suggstion as to where these are to be found.
|
[
{
"created": "Wed, 10 Dec 2003 09:45:11 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Pradhan",
"T.",
""
]
] |
It is shown that both the electric and magnetic dipole moment vectors of hydrogen atom in the excited states with wave function $$ u_n^{(\pm)} = {1\over\sqrt 2} [R_{n,n-1}(r) Y_{n-1,\pm (n-2)}(\theta\phi) \pm R_{n,n-2}(r) Y_{n-2,\pm (n-2)}(\theta\phi)]$$ align themselves in the direction of an external uniform electric field which is characteristic of magneto-electric effect. These states are found to have magnetic charge $g={3n\over (n-2)e}$ on account of this effect. This result is confirmed by an independent method. An experiment is suggested to fabricate these states and detect the magnetic charge. It ma be worth noting that inspite of many experimental searchs, magnetic charge, whose existence has been theorized both in electrodynamics and non-abelian gauge theories, none have been found so far, nor there exist any suggstion as to where these are to be found.
|
1812.08195
|
Andrea Dei
|
Andrea Dei, Alessandro Sfondrini
|
Integrable S matrix, mirror TBA and spectrum for the stringy
$\text{AdS}_{3}\times\text{S}^3\times\text{S}^3\times\text{S}^1$ WZW model
|
38 pages, Version accepted for publication in JHEP
| null |
10.1007/JHEP02(2019)072
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We compute the tree-level bosonic S matrix in light-cone gauge for
superstrings on pure-NSNS
$\text{AdS}_{3}\times\text{S}^3\times\text{S}^3\times\text{S}^1$. We show that
it is proportional to the identity and that it takes the same form as for
$\text{AdS}_{3} \times \text{S}^3\times\text{T}^4$ and for flat space. Based on
this, we make a conjecture for the exact worldsheet S matrix and derive the
mirror thermodynamic Bethe ansatz (TBA) equations describing the spectrum.
Despite a non-trivial vacuum energy, they can be solved in closed form and
coincide with a simple set of Bethe ansatz equations - again much like
$\text{AdS}_{3}\times\text{S}^3\times\text{T}^4$ and flat space. This suggests
that the model may have an integrable spin-chain interpretation. Finally, as a
check of our proposal, we compute the spectrum from the worldsheet CFT in the
case of highest-weight representations of the underlying Ka\v{c}-Moody
algebras, and show that the mirror-TBA prediction matches it on the nose.
|
[
{
"created": "Wed, 19 Dec 2018 19:07:07 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Feb 2019 15:11:33 GMT",
"version": "v2"
}
] |
2019-03-27
|
[
[
"Dei",
"Andrea",
""
],
[
"Sfondrini",
"Alessandro",
""
]
] |
We compute the tree-level bosonic S matrix in light-cone gauge for superstrings on pure-NSNS $\text{AdS}_{3}\times\text{S}^3\times\text{S}^3\times\text{S}^1$. We show that it is proportional to the identity and that it takes the same form as for $\text{AdS}_{3} \times \text{S}^3\times\text{T}^4$ and for flat space. Based on this, we make a conjecture for the exact worldsheet S matrix and derive the mirror thermodynamic Bethe ansatz (TBA) equations describing the spectrum. Despite a non-trivial vacuum energy, they can be solved in closed form and coincide with a simple set of Bethe ansatz equations - again much like $\text{AdS}_{3}\times\text{S}^3\times\text{T}^4$ and flat space. This suggests that the model may have an integrable spin-chain interpretation. Finally, as a check of our proposal, we compute the spectrum from the worldsheet CFT in the case of highest-weight representations of the underlying Ka\v{c}-Moody algebras, and show that the mirror-TBA prediction matches it on the nose.
|
1804.01702
|
Nikolaos Mavromatos
|
Nick E Mavromatos and Sarben Sarkar
|
Regularised Kalb-Ramond Magnetic Monopole with Finite Energy
|
9 pages revtex, 1 pdf figure incorporated; added clarifying
discussion in sections II and III, better motivating the use of de Sitter
regularisation of the core region of the self gravitating monopole solution
from string theory considerations. No effect on conclusions. Version to be
published in Physical Review D
|
Phys. Rev. D 97, 125010 (2018)
|
10.1103/PhysRevD.97.125010
|
KCL-PH-TH/2018-14
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In a previous work we suggested a self-gravitating electromagnetic monopole
solution in a string-inspired model involving global spontaneous breaking of a
$SO(3)$ internal symmetry and Kalb-Ramond (KR) axions, stemming from an
antisymmetric tensor field in the massless string multiplet. These axions carry
a charge, which, in our model, also plays the r\^ole of the magnetic charge.
The resulting geometry is close to that of a Reissner-Nordstr\"om (RN) black
hole with charge proportional to the KR-axion charge. We proposed the existence
of a thin shell structure inside a (large) core radius as the dominant mass
contribution to the energy functional. The resulting energy was finite, and
proportional to the KR-axion charge; however, the size of the shell was not
determined and left as a phenomenological parameter. In the current article, we
can calculate the mass-shell size, on proposing a regularisation of the black
hole singularity via a matching procedure between the RN metric in the outer
region and, in the inner region, a de Sitter space with a (positive)
cosmological constant proportional to the scale of the spontaneous symmetry
breaking of $SO(3)$ . The matching, which involves the Israel junction
conditions for the metric and its first derivatives at the inner surface of the
shell, determines the inner mass-shell radius. The axion charge plays an
important r\^ole in guaranteeing positivity of the "mass coefficient" of the
gravitational potential term appearing in the metric component; so the KR
electromagnetic monopole shows normal attractive gravitational effects. This is
to be contrasted with the global monopole case (in the absence of KR axions)
where such a matching is known to yield a negative "mass coefficient" (and,
hence, repulsive gravitational effects). The total energy of the monopole
within the shell is calculated.
|
[
{
"created": "Thu, 5 Apr 2018 07:28:18 GMT",
"version": "v1"
},
{
"created": "Tue, 29 May 2018 21:46:11 GMT",
"version": "v2"
}
] |
2018-06-20
|
[
[
"Mavromatos",
"Nick E",
""
],
[
"Sarkar",
"Sarben",
""
]
] |
In a previous work we suggested a self-gravitating electromagnetic monopole solution in a string-inspired model involving global spontaneous breaking of a $SO(3)$ internal symmetry and Kalb-Ramond (KR) axions, stemming from an antisymmetric tensor field in the massless string multiplet. These axions carry a charge, which, in our model, also plays the r\^ole of the magnetic charge. The resulting geometry is close to that of a Reissner-Nordstr\"om (RN) black hole with charge proportional to the KR-axion charge. We proposed the existence of a thin shell structure inside a (large) core radius as the dominant mass contribution to the energy functional. The resulting energy was finite, and proportional to the KR-axion charge; however, the size of the shell was not determined and left as a phenomenological parameter. In the current article, we can calculate the mass-shell size, on proposing a regularisation of the black hole singularity via a matching procedure between the RN metric in the outer region and, in the inner region, a de Sitter space with a (positive) cosmological constant proportional to the scale of the spontaneous symmetry breaking of $SO(3)$ . The matching, which involves the Israel junction conditions for the metric and its first derivatives at the inner surface of the shell, determines the inner mass-shell radius. The axion charge plays an important r\^ole in guaranteeing positivity of the "mass coefficient" of the gravitational potential term appearing in the metric component; so the KR electromagnetic monopole shows normal attractive gravitational effects. This is to be contrasted with the global monopole case (in the absence of KR axions) where such a matching is known to yield a negative "mass coefficient" (and, hence, repulsive gravitational effects). The total energy of the monopole within the shell is calculated.
|
0907.2495
|
Masakazu Sano
|
Masakazu Sano and Hisao Suzuki
|
Wrapped brane gas as a candidate for Dark Matter
|
17 pages, 2 figures, revtex4, v3: comments added
|
Phys. Rev. D81: 024042, 2010
|
10.1103/PhysRevD.81.024042
|
EPHOU 09-004
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider brane gas models based on type II string theories and analyze the
mass, the Ramond-Ramond charge and the charge on moduli fluctuations of branes
wrapping over cycles of a compactified space in the four-dimensional Einstein
frame. A six-dimensional torus and Calabi-Yau threefolds are considered for the
Kaluza-Klein reduction. A large volume of the compactified space and a weak
string coupling gives rise to point particles of the wrapped branes which have
a light mass and a small charge of the Ramond-Ramond flux and of the moduli
fluctuations, while the particles become very heavy in the string frame. We
find that the masses and the charges satisfy the sea-saw like dual relations
which become time-independent in the four-dimensional Einstein frame.
|
[
{
"created": "Wed, 15 Jul 2009 06:35:50 GMT",
"version": "v1"
},
{
"created": "Sun, 26 Jul 2009 13:57:54 GMT",
"version": "v2"
},
{
"created": "Thu, 7 Jan 2010 04:26:06 GMT",
"version": "v3"
}
] |
2010-01-29
|
[
[
"Sano",
"Masakazu",
""
],
[
"Suzuki",
"Hisao",
""
]
] |
We consider brane gas models based on type II string theories and analyze the mass, the Ramond-Ramond charge and the charge on moduli fluctuations of branes wrapping over cycles of a compactified space in the four-dimensional Einstein frame. A six-dimensional torus and Calabi-Yau threefolds are considered for the Kaluza-Klein reduction. A large volume of the compactified space and a weak string coupling gives rise to point particles of the wrapped branes which have a light mass and a small charge of the Ramond-Ramond flux and of the moduli fluctuations, while the particles become very heavy in the string frame. We find that the masses and the charges satisfy the sea-saw like dual relations which become time-independent in the four-dimensional Einstein frame.
|
0711.0090
|
Kirill Krasnov
|
Kirill Krasnov
|
On deformations of Ashtekar's constraint algebra
|
3 pages, no figures
|
Phys.Rev.Lett.100:081102,2008
|
10.1103/PhysRevLett.100.081102
| null |
gr-qc astro-ph hep-th
| null |
We show that the constraint algebra of Ashtekar's Hamiltonian formulation of
general relativity can be non-trivially deformed by allowing the cosmological
constant to become an arbitrary function of the (Weyl) curvature. Our result
implies that there is not one but infinitely many (parameterized by an
arbitrary function) four-dimensional gravity theories propagating two degrees
of freedom.
|
[
{
"created": "Thu, 1 Nov 2007 09:20:27 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Krasnov",
"Kirill",
""
]
] |
We show that the constraint algebra of Ashtekar's Hamiltonian formulation of general relativity can be non-trivially deformed by allowing the cosmological constant to become an arbitrary function of the (Weyl) curvature. Our result implies that there is not one but infinitely many (parameterized by an arbitrary function) four-dimensional gravity theories propagating two degrees of freedom.
|
hep-th/0308136
|
Sergei Kuzenko
|
S. M. Kuzenko and I. N. McArthur
|
Low-energy dynamics in N = 2 super QED: Two-loop approximation
|
27 pages, latex, 4 EPS figures. V2: misprints corrected. V3: error in
eq. (2.33) corrected, conclusions unchanged
|
JHEP 0310 (2003) 029
|
10.1088/1126-6708/2003/10/029
| null |
hep-th
| null |
The two-loop (Euler-Heisenberg-type) effective action for N = 2
supersymmetric QED is computed using the N = 1 superspace formulation. The
effective action is expressed as a series in supersymmetric extensions of
F^{2n}, where n=2,3,..., with F the field strength. The corresponding
coefficients are given by triple proper-time integrals which are evaluated
exactly. As a by-product, we demonstrate the appearance of a non-vanishing F^4
quantum correction at the two-loop order. The latter result is in conflict with
the conclusion of hep-th/9710142 that no such quantum corrections are generated
at two loops in generic N = 2 SYM theories on the Coulomb branch. We explain a
subtle loophole in the relevant consideration of hep-th/9710142 and re-derive
the F^4 term from harmonic supergraphs.
|
[
{
"created": "Thu, 21 Aug 2003 06:48:25 GMT",
"version": "v1"
},
{
"created": "Fri, 3 Oct 2003 06:41:31 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Feb 2006 05:15:59 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Kuzenko",
"S. M.",
""
],
[
"McArthur",
"I. N.",
""
]
] |
The two-loop (Euler-Heisenberg-type) effective action for N = 2 supersymmetric QED is computed using the N = 1 superspace formulation. The effective action is expressed as a series in supersymmetric extensions of F^{2n}, where n=2,3,..., with F the field strength. The corresponding coefficients are given by triple proper-time integrals which are evaluated exactly. As a by-product, we demonstrate the appearance of a non-vanishing F^4 quantum correction at the two-loop order. The latter result is in conflict with the conclusion of hep-th/9710142 that no such quantum corrections are generated at two loops in generic N = 2 SYM theories on the Coulomb branch. We explain a subtle loophole in the relevant consideration of hep-th/9710142 and re-derive the F^4 term from harmonic supergraphs.
|
0910.5836
|
Claus Kiefer
|
Claus Kiefer
|
Can the Arrow of Time be understood from Quantum Cosmology?
|
14 pages, to appear in "The Arrow of Time", ed. by L.
Mersini-Houghton and R. Vaas
|
The Arrows of Time (Springer, Heidelberg 2012), pp. 191-203
|
10.1007/978-3-642-23259-6_10
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
I address the question whether the origin of the observed arrow of time can
be derived from quantum cosmology. After a general discussion of entropy in
cosmology and some numerical estimates, I give a brief introduction into
quantum geometrodynamics and argue that this may provide a sufficient framework
for studying this question. I then show that a natural boundary condition of
low initial entropy can be imposed on the universal wave function. The arrow of
time is then correlated with the size of the Universe and emerges from an
increasing amount of decoherence due to entanglement with unobserved degrees of
freedom. Remarks are also made concerning the arrow of time in multiverse
pictures and scenarios motivated by dark energy.
|
[
{
"created": "Fri, 30 Oct 2009 10:31:42 GMT",
"version": "v1"
}
] |
2012-07-27
|
[
[
"Kiefer",
"Claus",
""
]
] |
I address the question whether the origin of the observed arrow of time can be derived from quantum cosmology. After a general discussion of entropy in cosmology and some numerical estimates, I give a brief introduction into quantum geometrodynamics and argue that this may provide a sufficient framework for studying this question. I then show that a natural boundary condition of low initial entropy can be imposed on the universal wave function. The arrow of time is then correlated with the size of the Universe and emerges from an increasing amount of decoherence due to entanglement with unobserved degrees of freedom. Remarks are also made concerning the arrow of time in multiverse pictures and scenarios motivated by dark energy.
|
1801.01137
|
Zicao Fu
|
Zicao Fu, Alexander Maloney, Donald Marolf, Henry Maxfield, Zhencheng
Wang
|
Holographic complexity is nonlocal
|
17 pages, 4 figures; v2: minor modifications
|
JHEP02(2018)072
|
10.1007/JHEP02(2018)072
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the "complexity equals volume" (CV) and "complexity equals action"
(CA) conjectures by examining moments of of time symmetry for $\rm AdS_3$
wormholes having $n$ asymptotic regions and arbitrary (orientable) internal
topology. For either prescription, the complexity relative to $n$ copies of the
$M=0$ BTZ black hole takes the form $\Delta C = \alpha c \chi $, where $c$ is
the central charge and $\chi$ is the Euler character of the bulk time-symmetric
surface. The coefficients $\alpha_V = -4\pi/3$, $\alpha_A = 1/6 $ defined by CV
and CA are independent of both temperature and any moduli controlling the
geometry inside the black hole. Comparing with the known structure of dual CFT
states in the hot wormhole limit, the temperature and moduli independence of
$\alpha_V$, $\alpha_A$ implies that any CFT gate set defining either complexity
cannot be local. In particular, the complexity of an efficient quantum circuit
building local thermofield-double-like entanglement of thermal-sized patches
does not depend on the separation of the patches so entangled. We also comment
on implications of the (positive) sign found for $\alpha_A$, which requires the
associated complexity to decrease when handles are added to our wormhole.
|
[
{
"created": "Wed, 3 Jan 2018 19:00:09 GMT",
"version": "v1"
},
{
"created": "Wed, 31 Jan 2018 02:04:45 GMT",
"version": "v2"
}
] |
2018-02-15
|
[
[
"Fu",
"Zicao",
""
],
[
"Maloney",
"Alexander",
""
],
[
"Marolf",
"Donald",
""
],
[
"Maxfield",
"Henry",
""
],
[
"Wang",
"Zhencheng",
""
]
] |
We study the "complexity equals volume" (CV) and "complexity equals action" (CA) conjectures by examining moments of of time symmetry for $\rm AdS_3$ wormholes having $n$ asymptotic regions and arbitrary (orientable) internal topology. For either prescription, the complexity relative to $n$ copies of the $M=0$ BTZ black hole takes the form $\Delta C = \alpha c \chi $, where $c$ is the central charge and $\chi$ is the Euler character of the bulk time-symmetric surface. The coefficients $\alpha_V = -4\pi/3$, $\alpha_A = 1/6 $ defined by CV and CA are independent of both temperature and any moduli controlling the geometry inside the black hole. Comparing with the known structure of dual CFT states in the hot wormhole limit, the temperature and moduli independence of $\alpha_V$, $\alpha_A$ implies that any CFT gate set defining either complexity cannot be local. In particular, the complexity of an efficient quantum circuit building local thermofield-double-like entanglement of thermal-sized patches does not depend on the separation of the patches so entangled. We also comment on implications of the (positive) sign found for $\alpha_A$, which requires the associated complexity to decrease when handles are added to our wormhole.
|
1506.07323
|
Roy Ben-Israel
|
Roy Ben-Israel, Amit Giveon, Nissan Itzhaki, Lior Liram
|
Stringy Horizons and UV/IR Mixing
| null | null |
10.1007/JHEP11(2015)164
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The target-space interpretation of the exact (in $\alpha'$) reflection
coefficient for scattering from Euclidean black-hole horizons in classical
string theory is studied. For concreteness, we focus on the solvable $SL(2,
\mathbb{R})_k/U(1)$ black hole. It is shown that it exhibits a fascinating
UV/IR mixing, dramatically modifying the late-time behavior of general
relativity. We speculate that this might play an important role in the
black-hole information puzzle, as well as in clarifying features related with
the non-locality of Little String Theory.
|
[
{
"created": "Wed, 24 Jun 2015 11:18:36 GMT",
"version": "v1"
}
] |
2016-01-27
|
[
[
"Ben-Israel",
"Roy",
""
],
[
"Giveon",
"Amit",
""
],
[
"Itzhaki",
"Nissan",
""
],
[
"Liram",
"Lior",
""
]
] |
The target-space interpretation of the exact (in $\alpha'$) reflection coefficient for scattering from Euclidean black-hole horizons in classical string theory is studied. For concreteness, we focus on the solvable $SL(2, \mathbb{R})_k/U(1)$ black hole. It is shown that it exhibits a fascinating UV/IR mixing, dramatically modifying the late-time behavior of general relativity. We speculate that this might play an important role in the black-hole information puzzle, as well as in clarifying features related with the non-locality of Little String Theory.
|
hep-th/0603035
|
S.E.M. Nooij
|
S.E.M. Nooij
|
Classification of the Chiral Z_2 x Z_2 Heterotic String Models
|
D.Phil. Thesis submitted at the University of Oxford, 134 pages, 4
figures
| null | null | null |
hep-th hep-ph
| null |
This thesis provides a classification of the chiral content of the heterotic
$\mathbbm{Z}_2 \times \mathbbm{Z}_2$ orbifold models. We show that the chiral
content of the heterotic $\mathbbm{Z}_2 \times \mathbbm{Z}_2$ orbifold models
at any point in the moduli space can be described by a free fermionic model. We
present a direct translation between the orbifold formulation and the free
fermionic construction. We use the free fermionic description for the
classification wherein we consider orbifolds with symmetric shifts.
We show that perturbative three generation models are not obtained in the
case of $\mathbbm{Z}_2 \times \mathbbm{Z}_2$ orbifolds with symmetric shifts on
complex tori, and that the perturbative three generation models in this class
necessarily employ an asymmetric shift. We show that the freedom in the modular
invariant phases in the $N = 1$ vacua that control the chiral content, can be
interpreted as vacuum expectation values of background fields of the underlying
$N = 4$ theory, whose dynamical components are projected out by the
$\mathbbm{Z}_2$ fermionic projections. In this class of vacua the chiral
content of the models is determined by the underlying $N = 4$ mother theory.
|
[
{
"created": "Mon, 6 Mar 2006 13:11:54 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Nooij",
"S. E. M.",
""
]
] |
This thesis provides a classification of the chiral content of the heterotic $\mathbbm{Z}_2 \times \mathbbm{Z}_2$ orbifold models. We show that the chiral content of the heterotic $\mathbbm{Z}_2 \times \mathbbm{Z}_2$ orbifold models at any point in the moduli space can be described by a free fermionic model. We present a direct translation between the orbifold formulation and the free fermionic construction. We use the free fermionic description for the classification wherein we consider orbifolds with symmetric shifts. We show that perturbative three generation models are not obtained in the case of $\mathbbm{Z}_2 \times \mathbbm{Z}_2$ orbifolds with symmetric shifts on complex tori, and that the perturbative three generation models in this class necessarily employ an asymmetric shift. We show that the freedom in the modular invariant phases in the $N = 1$ vacua that control the chiral content, can be interpreted as vacuum expectation values of background fields of the underlying $N = 4$ theory, whose dynamical components are projected out by the $\mathbbm{Z}_2$ fermionic projections. In this class of vacua the chiral content of the models is determined by the underlying $N = 4$ mother theory.
|
hep-th/9802126
|
Christian Fronsdal
|
S. Ferrara and C. Fronsdal
|
Gauge fields as composite boundary excitations
|
Latex 2 figures in one eps file
|
Phys.Lett. B433 (1998) 19-28
|
10.1016/S0370-2693(98)00664-9
| null |
hep-th
| null |
We investigate representations of the conformal group that describe
"massless" particles in the interior and at the boundary of anti-de Sitter
space. It turns out that massless gauge excitations in anti-de Sitter are gauge
"current" operators at the boundary. Conversely, massless excitations at the
boundary are topological singletons in the interior. These representations lie
at the threshold of two "unitary bounds" that apply to any conformally
invariant field theory. Gravity and Yang-Mills gauge symmetry in anti-De Sitter
is translated to global translational symmetry and continuous $R$-symmetry of
the boundary superconformal field theory.
|
[
{
"created": "Wed, 18 Feb 1998 23:54:19 GMT",
"version": "v1"
},
{
"created": "Tue, 10 Mar 1998 17:14:56 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Ferrara",
"S.",
""
],
[
"Fronsdal",
"C.",
""
]
] |
We investigate representations of the conformal group that describe "massless" particles in the interior and at the boundary of anti-de Sitter space. It turns out that massless gauge excitations in anti-de Sitter are gauge "current" operators at the boundary. Conversely, massless excitations at the boundary are topological singletons in the interior. These representations lie at the threshold of two "unitary bounds" that apply to any conformally invariant field theory. Gravity and Yang-Mills gauge symmetry in anti-De Sitter is translated to global translational symmetry and continuous $R$-symmetry of the boundary superconformal field theory.
|
hep-th/0504071
|
Jorge Henrique de Oliveira Sales
|
J.H.O.Sales and A.T.Suzuki
|
Singularity-softening prescription for the Bethe-Salpeter equation
|
6 pages, Prepared for 25th Brazilian Meeting of Particles Physics and
Fields, Caxambu, Brazil, 24/27 aug. 2004, Caxambu, Minas Gerais, Brazil
| null | null | null |
hep-th
| null |
The reduction of the two fermion Bethe-Salpeter equation in the framework of
light-front dynamics is studied for one gauge A+=0. The arising effective
interaction can be perturbatively expanded in powers of the coupling constant
g, allowing a defined number of gauge boson exchanges. The singularity of the
kernel of the integral equation at vanishs plus momentum of the gauge is
canceled exactly in on approuch. We studied the problem using a
singularity-softening prescription for the light-front gauge.
|
[
{
"created": "Thu, 7 Apr 2005 21:35:37 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Sales",
"J. H. O.",
""
],
[
"Suzuki",
"A. T.",
""
]
] |
The reduction of the two fermion Bethe-Salpeter equation in the framework of light-front dynamics is studied for one gauge A+=0. The arising effective interaction can be perturbatively expanded in powers of the coupling constant g, allowing a defined number of gauge boson exchanges. The singularity of the kernel of the integral equation at vanishs plus momentum of the gauge is canceled exactly in on approuch. We studied the problem using a singularity-softening prescription for the light-front gauge.
|
2203.17057
|
Mitsuhiro Nishida
|
Mitsuhiro Nishida
|
Scaling exponents of Mellin amplitudes for deriving bounds on flat space
S-matrices from bounds on chaos
|
18 pages. v2: minor improvements
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study an inequality between a scaling exponent $A$ in the Regge limit of
tree-level flat space S-matrices with external massless scalars and another
scaling exponent $A'$ in the Regge limit of the corresponding four-point scalar
conformal correlators by using scaling exponents of Mellin amplitudes. We
derive $A'\ge A$, which leads to the Regge growth bound of tree-level flat
space S-matrices from the chaos bound in the flat space limit of the AdS/CFT
correspondence, from polynomial boundedness of the Mellin amplitudes for local
bulk descriptions. We also show $A'=A$ from the conformal block expansion in
the $t$-channel with finite intermediate spins when coefficients are not small
in the flat space limit.
|
[
{
"created": "Thu, 31 Mar 2022 14:25:01 GMT",
"version": "v1"
},
{
"created": "Mon, 2 May 2022 09:13:02 GMT",
"version": "v2"
}
] |
2022-05-03
|
[
[
"Nishida",
"Mitsuhiro",
""
]
] |
We study an inequality between a scaling exponent $A$ in the Regge limit of tree-level flat space S-matrices with external massless scalars and another scaling exponent $A'$ in the Regge limit of the corresponding four-point scalar conformal correlators by using scaling exponents of Mellin amplitudes. We derive $A'\ge A$, which leads to the Regge growth bound of tree-level flat space S-matrices from the chaos bound in the flat space limit of the AdS/CFT correspondence, from polynomial boundedness of the Mellin amplitudes for local bulk descriptions. We also show $A'=A$ from the conformal block expansion in the $t$-channel with finite intermediate spins when coefficients are not small in the flat space limit.
|
2005.12176
|
Raghunath Sahoo
|
Dushmanta Sahu and Raghunath Sahoo
|
Characterizing Proton-Proton Collisions at the Large Hadron Collider
with Thermal Properties
|
Same as the published version
|
Physics 3, 207 (2021)
|
10.3390/physics3020016
| null |
hep-ph hep-ex nucl-ex nucl-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
High-multiplicity proton-proton (pp) collisions at the Large Hadron Collider
(LHC) energies have created a new domain of research to look for a possible
formation of quark-gluon plasma in these events. In this paper, we estimate
various thermal properties of the matter formed in pp collisions at the LHC
energies, such as mean free path, isobaric expansivity, thermal pressure, and
heat capacity using a thermodynamically consistent Tsallis distribution
function. Particle species-dependent mean free path and isobaric expansivity
are studied as functions of final state charged particle multiplicity for pp
collisions at the center-of-mass energy $\sqrt{s}$ = 7 TeV. The effects of
degree of non-extensivity, baryochemical potential, and temperature on these
thermal properties are studied. The findings are compared with the theoretical
expectations.
|
[
{
"created": "Mon, 25 May 2020 15:48:08 GMT",
"version": "v1"
},
{
"created": "Mon, 1 Jun 2020 12:21:43 GMT",
"version": "v2"
},
{
"created": "Wed, 21 Apr 2021 16:48:17 GMT",
"version": "v3"
}
] |
2021-04-22
|
[
[
"Sahu",
"Dushmanta",
""
],
[
"Sahoo",
"Raghunath",
""
]
] |
High-multiplicity proton-proton (pp) collisions at the Large Hadron Collider (LHC) energies have created a new domain of research to look for a possible formation of quark-gluon plasma in these events. In this paper, we estimate various thermal properties of the matter formed in pp collisions at the LHC energies, such as mean free path, isobaric expansivity, thermal pressure, and heat capacity using a thermodynamically consistent Tsallis distribution function. Particle species-dependent mean free path and isobaric expansivity are studied as functions of final state charged particle multiplicity for pp collisions at the center-of-mass energy $\sqrt{s}$ = 7 TeV. The effects of degree of non-extensivity, baryochemical potential, and temperature on these thermal properties are studied. The findings are compared with the theoretical expectations.
|
0910.0843
|
Florian Gmeiner
|
Florian Gmeiner, Gabriele Honecker
|
Complete Gauge Threshold Corrections for Intersecting Fractional
D6-Branes: The Z6 and Z6' Standard Models
|
94 pages, 11 figures; v2: version accepted for publication in Nuclear
Physics: subsection 5.3 and references added
|
Nucl.Phys.B829:225-297,2010
|
10.1016/j.nuclphysb.2009.12.011
|
KUL-TF-09/12, NIKHEF/2009-001, NSF-KITP-09-101
|
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a complete analysis of one-loop threshold corrections to the gauge
couplings of fractional D6-branes. This includes besides SU(N) also symplectic,
orthogonal and massless Abelian gauge factors and the full computation of
contributions from discrete and continuous Wilson lines and brane
displacements. Two classes of globally consistent supersymmetric
compactifications with Standard Model spectra on T6/Z6 and T6/Z6' are presented
in detail with the latter exhibiting the potential of supersymmetry breaking
via a hidden sector gaugino condensate. The T6/Z6' Standard Models are
completely classified, and it turns out that out of 768 distinct D6-brane
configurations only 16 different sets of massless spectra and ten distinct
values of gauge couplings at one-loop arise. The gauge threshold corrections
enhance the diversity to 196 nonequivalent models.
|
[
{
"created": "Tue, 6 Oct 2009 15:39:05 GMT",
"version": "v1"
},
{
"created": "Fri, 11 Dec 2009 14:38:53 GMT",
"version": "v2"
}
] |
2010-01-18
|
[
[
"Gmeiner",
"Florian",
""
],
[
"Honecker",
"Gabriele",
""
]
] |
We perform a complete analysis of one-loop threshold corrections to the gauge couplings of fractional D6-branes. This includes besides SU(N) also symplectic, orthogonal and massless Abelian gauge factors and the full computation of contributions from discrete and continuous Wilson lines and brane displacements. Two classes of globally consistent supersymmetric compactifications with Standard Model spectra on T6/Z6 and T6/Z6' are presented in detail with the latter exhibiting the potential of supersymmetry breaking via a hidden sector gaugino condensate. The T6/Z6' Standard Models are completely classified, and it turns out that out of 768 distinct D6-brane configurations only 16 different sets of massless spectra and ten distinct values of gauge couplings at one-loop arise. The gauge threshold corrections enhance the diversity to 196 nonequivalent models.
|
0911.0363
|
Andrey Morozov
|
Vasiliy Alba, Andrey Morozov
|
Non-conformal limit of AGT relation from the 1-point torus conformal
block
|
5 pages, 1 figure
|
JETP Lett.90:708-712,2009
|
10.1134/S0021364009230040
|
ITEP/TH-54/09
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Given a 4d N=2 SUSY gauge theory, one can construct the Seiberg-Witten
prepotentional, which involves a sum over instantons. Integrals over instanton
moduli spaces require regularisation. For UV-finite theories the AGT conjecture
favours particular, Nekrasov's way of regularization. It implies that
Nekrasov's partition function equals conformal blocks in 2d theories with
W_{N_c} chiral algebra. For $N_c=2$ and one adjoint multiplet it coincides with
a torus 1-point Virasoro conformal block. We check the AGT relation between
conformal dimension and adjoint multiplet's mass in this case and investigate
the limit of the conformal block, which corresponds to the large mass limit of
the 4d theory e.i. the asymptotically free 4d N=2 supersymmetric Yang-Mills
theory. Though technically more involved, the limit is the same as in the case
of fundamental multiplets, and this provides one more non-trivial check of AGT
conjecture.
|
[
{
"created": "Mon, 2 Nov 2009 17:50:52 GMT",
"version": "v1"
},
{
"created": "Mon, 14 Dec 2009 19:29:13 GMT",
"version": "v2"
}
] |
2011-05-09
|
[
[
"Alba",
"Vasiliy",
""
],
[
"Morozov",
"Andrey",
""
]
] |
Given a 4d N=2 SUSY gauge theory, one can construct the Seiberg-Witten prepotentional, which involves a sum over instantons. Integrals over instanton moduli spaces require regularisation. For UV-finite theories the AGT conjecture favours particular, Nekrasov's way of regularization. It implies that Nekrasov's partition function equals conformal blocks in 2d theories with W_{N_c} chiral algebra. For $N_c=2$ and one adjoint multiplet it coincides with a torus 1-point Virasoro conformal block. We check the AGT relation between conformal dimension and adjoint multiplet's mass in this case and investigate the limit of the conformal block, which corresponds to the large mass limit of the 4d theory e.i. the asymptotically free 4d N=2 supersymmetric Yang-Mills theory. Though technically more involved, the limit is the same as in the case of fundamental multiplets, and this provides one more non-trivial check of AGT conjecture.
|
hep-th/0404208
|
Kluson Josef
|
J. Kluson
|
A Toy Model of Closed String Tachyon Effective Action
|
17 pages
|
Int.J.Mod.Phys. A20 (2005) 1481-1494
|
10.1142/S0217751X05020653
| null |
hep-th
| null |
In this paper we propose the toy model of the closed string tachyon effective
action that has marginal tachyon profile as its exact solution in case of
constant or linear dilaton background. Then we will apply this model for
description of two dimensional bosonic string theory. We will find that the
background configuration with the spatial dependent linear dilaton, flat
spacetime metric and marginal tachyon profile is the exact solution of our
model even if we take into account backreaction of tachyon on dilaton and
metric.
|
[
{
"created": "Tue, 27 Apr 2004 11:57:24 GMT",
"version": "v1"
}
] |
2009-11-10
|
[
[
"Kluson",
"J.",
""
]
] |
In this paper we propose the toy model of the closed string tachyon effective action that has marginal tachyon profile as its exact solution in case of constant or linear dilaton background. Then we will apply this model for description of two dimensional bosonic string theory. We will find that the background configuration with the spatial dependent linear dilaton, flat spacetime metric and marginal tachyon profile is the exact solution of our model even if we take into account backreaction of tachyon on dilaton and metric.
|
hep-ph/0508029
|
Ken-ichi Okumura
|
Kiwoon Choi, Kwang Sik Jeong, Tatsuo Kobayashi, Ken-ichi Okumura
|
Little SUSY hierarchy in mixed modulus-anomaly mediation
|
revtex4, 16 pages
|
Phys.Lett.B633:355-361,2006
|
10.1016/j.physletb.2005.11.078
|
KAIST-TH 2005/12, KUNS-1982, KYUSHU-HET-85
|
hep-ph hep-th
| null |
Motivated by the KKLT string compactification involving a
supersymmetry-breaking uplifting potential, we examine 4D effective
supergravity with a generic form of uplifting potential, focusing on the
possibility that the resulting mixed modulus-anomaly mediated soft terms
realize the little hierarchy between the Higgs boson masses $m_H$ and the
sparticle masses $m_{SUSY}$. It is noted that for some type of uplifting
potential, the anomaly-mediated contribution to $m_H^2$ at $M_{GUT}$ can cancel
the subsequent renormalization group evolution of $m_H^2$ down to TeV scale,
thereby the model can naturally realize the little hierarchy $m_H^2\sim
m_{SUSY}^2/8\pi^2$ which is desirable for the lightest Higgs boson mass to
satisfy the experimental bound. In such models, the other Higgs mass parameters
$\mu$ and $B$ can have the desirable size $\mu \sim B \sim m_H$ without severe
fine-tuning of parameters, although the gravitino is much heavier than the
Higgs boson. Those models for the little hierarchy avoid naturally the
dangerous SUSY flavor and CP violations, and predict nearly degenerate low
energy gaugino masses, pure Higgsino LSP, and also a specific relation between
the stop and gaugino masses.
|
[
{
"created": "Tue, 2 Aug 2005 03:02:07 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Choi",
"Kiwoon",
""
],
[
"Jeong",
"Kwang Sik",
""
],
[
"Kobayashi",
"Tatsuo",
""
],
[
"Okumura",
"Ken-ichi",
""
]
] |
Motivated by the KKLT string compactification involving a supersymmetry-breaking uplifting potential, we examine 4D effective supergravity with a generic form of uplifting potential, focusing on the possibility that the resulting mixed modulus-anomaly mediated soft terms realize the little hierarchy between the Higgs boson masses $m_H$ and the sparticle masses $m_{SUSY}$. It is noted that for some type of uplifting potential, the anomaly-mediated contribution to $m_H^2$ at $M_{GUT}$ can cancel the subsequent renormalization group evolution of $m_H^2$ down to TeV scale, thereby the model can naturally realize the little hierarchy $m_H^2\sim m_{SUSY}^2/8\pi^2$ which is desirable for the lightest Higgs boson mass to satisfy the experimental bound. In such models, the other Higgs mass parameters $\mu$ and $B$ can have the desirable size $\mu \sim B \sim m_H$ without severe fine-tuning of parameters, although the gravitino is much heavier than the Higgs boson. Those models for the little hierarchy avoid naturally the dangerous SUSY flavor and CP violations, and predict nearly degenerate low energy gaugino masses, pure Higgsino LSP, and also a specific relation between the stop and gaugino masses.
|
1703.07884
|
Miguel Campiglia
|
Miguel Campiglia and Rodrigo Eyheralde
|
Asymptotic $U(1)$ charges at spatial infinity
|
23 pages
| null |
10.1007/JHEP11(2017)168
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Large gauge symmetries in Minkowski spacetime are often studied in two
distinct regimes: either at asymptotic (past or future) times or at spatial
infinity. By working in harmonic gauge, we provide a unified description of
large gauge symmetries (and their associated charges) that applies to both
regimes. At spatial infinity the charges are conserved and interpolate between
those defined at the asymptotic past and future. This explains the equality of
asymptotic past and future charges, as recently proposed in connection with
Weinberg's soft photon theorem.
|
[
{
"created": "Wed, 22 Mar 2017 23:34:40 GMT",
"version": "v1"
}
] |
2018-01-17
|
[
[
"Campiglia",
"Miguel",
""
],
[
"Eyheralde",
"Rodrigo",
""
]
] |
Large gauge symmetries in Minkowski spacetime are often studied in two distinct regimes: either at asymptotic (past or future) times or at spatial infinity. By working in harmonic gauge, we provide a unified description of large gauge symmetries (and their associated charges) that applies to both regimes. At spatial infinity the charges are conserved and interpolate between those defined at the asymptotic past and future. This explains the equality of asymptotic past and future charges, as recently proposed in connection with Weinberg's soft photon theorem.
|
hep-th/0212001
|
Sergei Solodukhin
|
Sergey N. Solodukhin
|
Black hole production via quantum tunneling
|
Talk presented at the 3rd Sakharov International Conference on
Physics, Moscow, June 2002; to appear in the proceedings of the conference
| null | null | null |
hep-th
| null |
Particles colliding at impact parameter much larger than the effective
gravitational radius can not classically form a black hole and just scatter off
the radial potential barrier separating the particles. We show that the process
of the black hole production can still go quantum-mechanically via familiar
mechanism of the under-barrier tunneling. The mechanism is illustrated for
collision of a trans-Planckian particle and a lighter particle. Our analysis
reveals instability of trans-Planckian particles against transition to the
phase of black hole.
|
[
{
"created": "Sat, 30 Nov 2002 12:44:49 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Solodukhin",
"Sergey N.",
""
]
] |
Particles colliding at impact parameter much larger than the effective gravitational radius can not classically form a black hole and just scatter off the radial potential barrier separating the particles. We show that the process of the black hole production can still go quantum-mechanically via familiar mechanism of the under-barrier tunneling. The mechanism is illustrated for collision of a trans-Planckian particle and a lighter particle. Our analysis reveals instability of trans-Planckian particles against transition to the phase of black hole.
|
hep-th/0610135
|
Henrique Boschi-Filho
|
Henrique Boschi-Filho and Nelson R. F. Braga
|
AdS/CFT Correspondence and Strong Interactions
|
8 pages. Talk presented at the Fifth International Conference on
Mathematical Methods in Physics, 24 - 28, April 2006, Rio de Janeiro, Brazil.
To appear in the proceedings at http://pos.sissa.it/
|
PoSIC2006:035,2006
| null | null |
hep-th
| null |
The AdS/CFT correspondence is an exact duality between string theory in
anti-de Sitter space and conformal field theories on its boundary. Inspired in
this correspondence some relations between strings and non conformal field
theories have been found. Exact dualities in the non conformal case are
intricate but approximations can reproduce important physical results. A simple
approximation consists in taking just a slice of the AdS space with a size that
can be related to the QCD energy scale. Here we will discuss how this approach
can be used to obtain the scaling of high energy QCD scattering amplitudes,
glueball masses and Regge trajectories, and the potential energy for a quark
anti-quark pair. This set up is modified to include finite temperature effects
and obtain a deconfining phase trasition.
|
[
{
"created": "Wed, 11 Oct 2006 20:12:21 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Boschi-Filho",
"Henrique",
""
],
[
"Braga",
"Nelson R. F.",
""
]
] |
The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have been found. Exact dualities in the non conformal case are intricate but approximations can reproduce important physical results. A simple approximation consists in taking just a slice of the AdS space with a size that can be related to the QCD energy scale. Here we will discuss how this approach can be used to obtain the scaling of high energy QCD scattering amplitudes, glueball masses and Regge trajectories, and the potential energy for a quark anti-quark pair. This set up is modified to include finite temperature effects and obtain a deconfining phase trasition.
|
2102.03407
|
Ehsan Bavarsad
|
Marzieh Akbari Ahmadmahmoudi and Ehsan Bavarsad
|
Energy-momentum tensor and effective Lagrangian of scalar QED with a
nonminimal coupling in 2D de Sitter spacetime
|
22 pages, 2 figures
|
Phys. Rev. D 103, 105009 (2021)
|
10.1103/PhysRevD.103.105009
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We have studied the induced one-loop energy-momentum tensor of a massive
complex scalar field within the framework of nonperturbative quantum
electrodynamics (QED) with a uniform electric field background on the
Poincar\'e patch of the two-dimensional de Sitter spacetime
($\mathrm{dS_{2}}$). We also consider a direct coupling the scalar field to the
Ricci scalar curvature which is parameterized by an arbitrary dimensionless
nonminimal coupling constant. We evaluate the trace anomaly of the induced
energy-momentum tensor. We show that our results for the induced
energy-momentum tensor in the zero electric field case, and the trace anomaly
are in agreement with the existing literature. Furthermore, we construct the
one-loop effective Lagrangian from the induced energy-momentum tensor.
|
[
{
"created": "Fri, 5 Feb 2021 20:07:32 GMT",
"version": "v1"
}
] |
2021-05-26
|
[
[
"Ahmadmahmoudi",
"Marzieh Akbari",
""
],
[
"Bavarsad",
"Ehsan",
""
]
] |
We have studied the induced one-loop energy-momentum tensor of a massive complex scalar field within the framework of nonperturbative quantum electrodynamics (QED) with a uniform electric field background on the Poincar\'e patch of the two-dimensional de Sitter spacetime ($\mathrm{dS_{2}}$). We also consider a direct coupling the scalar field to the Ricci scalar curvature which is parameterized by an arbitrary dimensionless nonminimal coupling constant. We evaluate the trace anomaly of the induced energy-momentum tensor. We show that our results for the induced energy-momentum tensor in the zero electric field case, and the trace anomaly are in agreement with the existing literature. Furthermore, we construct the one-loop effective Lagrangian from the induced energy-momentum tensor.
|
1510.09198
|
David Frenklakh
|
David Frenklakh
|
Chiral Magnetic-Vortical Wave
|
4 pages
| null | null | null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study collective excitations in rotating chiral media in presence of
magnetic field both in hydrodynamic framework and in kinetic theory. We find
that the velocity of the mixed Chiral Magnetic-Vortical Wave is a vector sum of
velocities of pure Magnetic and Vortical waves which do not exist separately
under these conditions. We also use relaxation time approximation to prove that
this wave itself is a non-dissipative phenomenon.
|
[
{
"created": "Fri, 30 Oct 2015 18:54:13 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2016 19:40:44 GMT",
"version": "v2"
}
] |
2016-10-31
|
[
[
"Frenklakh",
"David",
""
]
] |
We study collective excitations in rotating chiral media in presence of magnetic field both in hydrodynamic framework and in kinetic theory. We find that the velocity of the mixed Chiral Magnetic-Vortical Wave is a vector sum of velocities of pure Magnetic and Vortical waves which do not exist separately under these conditions. We also use relaxation time approximation to prove that this wave itself is a non-dissipative phenomenon.
|
2103.06566
|
Alba Soto-Ontoso
|
Paul Caucal, Alba Soto-Ontoso and Adam Takacs
|
Dynamical grooming meets LHC data
|
Fixed typo on Eq.1.1
|
JHEP 07 (2021) 020
|
10.1007/JHEP07(2021)020
| null |
hep-ph hep-ex
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we analyse the all-orders resummation structure of the momentum
sharing fraction, $z_g$, opening angle, $\theta_g$, and relative transverse
momentum, $k_{t,g}$, of the splitting tagged by the dynamical grooming
procedure in hadronic collisions. We demonstrate that their resummation does
non-exponentiate and it is free of clustering logarithms. Then, we analytically
compute the probability distributions of ($z_g$, $\theta_g$, $k_{t,g}$) up to
next-to next-to-double logarithm accuracy (N2DL) in the narrow jet limit,
including a matching to leading order in $\alpha_s$. On the phenomenological
side, we perform an analytic-to-parton level comparison with Pythia and Herwig.
We find that differences between the analytic and the Monte-Carlo results are
dominated by the infra-red regulator of the parton shower. Further, we present
the first analytic comparison to preliminary ALICE data and highlight the role
of non-perturbative corrections in such low-$p_t$ regime. Once the analytic
result is corrected by a phenomenologically determined non-perturbative factor,
we find very good agreement with the data.
|
[
{
"created": "Thu, 11 Mar 2021 09:50:05 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Mar 2021 14:44:06 GMT",
"version": "v2"
}
] |
2022-09-23
|
[
[
"Caucal",
"Paul",
""
],
[
"Soto-Ontoso",
"Alba",
""
],
[
"Takacs",
"Adam",
""
]
] |
In this work, we analyse the all-orders resummation structure of the momentum sharing fraction, $z_g$, opening angle, $\theta_g$, and relative transverse momentum, $k_{t,g}$, of the splitting tagged by the dynamical grooming procedure in hadronic collisions. We demonstrate that their resummation does non-exponentiate and it is free of clustering logarithms. Then, we analytically compute the probability distributions of ($z_g$, $\theta_g$, $k_{t,g}$) up to next-to next-to-double logarithm accuracy (N2DL) in the narrow jet limit, including a matching to leading order in $\alpha_s$. On the phenomenological side, we perform an analytic-to-parton level comparison with Pythia and Herwig. We find that differences between the analytic and the Monte-Carlo results are dominated by the infra-red regulator of the parton shower. Further, we present the first analytic comparison to preliminary ALICE data and highlight the role of non-perturbative corrections in such low-$p_t$ regime. Once the analytic result is corrected by a phenomenologically determined non-perturbative factor, we find very good agreement with the data.
|
2408.04004
|
Anna Tokareva
|
Andrea Addazi, Alexey S. Koshelev, Shi Pi, Anna Tokareva
|
Secondary Gravitational Waves in Non-local Starobinsky inflation
|
17 pages, 3 figures
| null | null | null |
gr-qc astro-ph.CO hep-th
|
http://creativecommons.org/publicdomain/zero/1.0/
|
We show how infinite derivative modifications of gravity impact on the
stochastic background of Gravitational Waves from early Universe. The generic
property of the ghost-free theory fixed on Minkowski space-time is the
emergence of an infinite number of complex mass states when other classical
backgrounds are considered. These additional states are shown to enhance the
power spectrum of scalar perturbations generated during inflation. Current and
future space-based and terrestrial interferometers offer indirect testing
methods for the infinite derivative gravity action, enabling the exploration of
new parameter spaces. In particular, we identify unconventional blue-tilted
Gravitational Wave spectra, presenting a novel approach for testing infinite
derivative quantum gravity in the future.
|
[
{
"created": "Wed, 7 Aug 2024 18:00:06 GMT",
"version": "v1"
}
] |
2024-08-09
|
[
[
"Addazi",
"Andrea",
""
],
[
"Koshelev",
"Alexey S.",
""
],
[
"Pi",
"Shi",
""
],
[
"Tokareva",
"Anna",
""
]
] |
We show how infinite derivative modifications of gravity impact on the stochastic background of Gravitational Waves from early Universe. The generic property of the ghost-free theory fixed on Minkowski space-time is the emergence of an infinite number of complex mass states when other classical backgrounds are considered. These additional states are shown to enhance the power spectrum of scalar perturbations generated during inflation. Current and future space-based and terrestrial interferometers offer indirect testing methods for the infinite derivative gravity action, enabling the exploration of new parameter spaces. In particular, we identify unconventional blue-tilted Gravitational Wave spectra, presenting a novel approach for testing infinite derivative quantum gravity in the future.
|
hep-th/9410049
| null |
V.V.Mangazeev, S.M.Sergeev, Yu.G.Stroganov
|
New solution of vertex type tetrahedron equations
|
12 pages, LaTeX, IHEP-94-106
|
Mod.Phys.Lett. A10 (1995) 279-288
|
10.1142/S0217732395000314
| null |
hep-th
| null |
In this paper we formulate a new N-state spin integrable model on a
three-dimensional lattice with spins interacting round each elementary cube of
the lattice. This model can be also reformulated as a vertex type model. Weight
functions of the model satisfy tetrahedron equations.
|
[
{
"created": "Fri, 7 Oct 1994 17:53:35 GMT",
"version": "v1"
}
] |
2019-08-17
|
[
[
"Mangazeev",
"V. V.",
""
],
[
"Sergeev",
"S. M.",
""
],
[
"Stroganov",
"Yu. G.",
""
]
] |
In this paper we formulate a new N-state spin integrable model on a three-dimensional lattice with spins interacting round each elementary cube of the lattice. This model can be also reformulated as a vertex type model. Weight functions of the model satisfy tetrahedron equations.
|
2102.09228
|
Alexandre Kisselev
|
A.V. Kisselev and V.A. Petrov
|
Can effective four-dimensional scalar theory be asymptotically free in a
spacetime with extra dimensions?
|
25 pages, 2 figures. Typos in two formulas are correted
|
Phys. Rev. D 103, 085012 (2021)
|
10.1103/PhysRevD.103.085012
| null |
hep-th hep-ph math-ph math.MP
|
http://creativecommons.org/licenses/by/4.0/
|
We trace what happens with asymptotically free behavior of the running
coupling in $\phi^{3}$ theory in six-dimensional space-time if to compactify
two spatial dimensions on a 2D closed manifold. The result can be considered as
an effective 4D theory of infinitely many KK-type scalar fields with triple
interactions. The effective \emph{dimensional} coupling inherits running to
zero at high mass scales in a modified form depending on the size of the
compact manifold. Some physical implications are discussed.
|
[
{
"created": "Thu, 18 Feb 2021 09:02:07 GMT",
"version": "v1"
},
{
"created": "Fri, 19 Feb 2021 08:46:02 GMT",
"version": "v2"
}
] |
2021-05-05
|
[
[
"Kisselev",
"A. V.",
""
],
[
"Petrov",
"V. A.",
""
]
] |
We trace what happens with asymptotically free behavior of the running coupling in $\phi^{3}$ theory in six-dimensional space-time if to compactify two spatial dimensions on a 2D closed manifold. The result can be considered as an effective 4D theory of infinitely many KK-type scalar fields with triple interactions. The effective \emph{dimensional} coupling inherits running to zero at high mass scales in a modified form depending on the size of the compact manifold. Some physical implications are discussed.
|
2006.14129
|
Soumangsu Chakraborty Dr
|
Soumangsu Chakraborty, Amit Giveon and David Kutasov
|
Comments on D3-Brane Holography
|
17 pages and 7 figures
| null |
10.1007/JHEP11(2020)031
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We revisit the idea that the quantum dynamics of open strings ending on $N$
D3-branes in the large $N$ limit can be described at large `t Hooft coupling by
classical closed string theory in the background created by the D3-branes in
asymptotically flat spacetime. We study the resulting thermodynamics and
compute the Hagedorn temperature and other properties of the D3-brane
worldvolume theory in this regime. We also consider the theory in which the
D3-branes are replaced by negative branes and show that its thermodynamics is
well behaved. We comment on the idea that this theory can be thought of as an
irrelevant deformation of $\mathcal{N}=4$ SYM, and on its relation to $T\bar T$
deformed $CFT_2$.
|
[
{
"created": "Thu, 25 Jun 2020 01:23:12 GMT",
"version": "v1"
},
{
"created": "Tue, 8 Sep 2020 05:46:09 GMT",
"version": "v2"
}
] |
2020-12-02
|
[
[
"Chakraborty",
"Soumangsu",
""
],
[
"Giveon",
"Amit",
""
],
[
"Kutasov",
"David",
""
]
] |
We revisit the idea that the quantum dynamics of open strings ending on $N$ D3-branes in the large $N$ limit can be described at large `t Hooft coupling by classical closed string theory in the background created by the D3-branes in asymptotically flat spacetime. We study the resulting thermodynamics and compute the Hagedorn temperature and other properties of the D3-brane worldvolume theory in this regime. We also consider the theory in which the D3-branes are replaced by negative branes and show that its thermodynamics is well behaved. We comment on the idea that this theory can be thought of as an irrelevant deformation of $\mathcal{N}=4$ SYM, and on its relation to $T\bar T$ deformed $CFT_2$.
|
1709.09405
|
Josef Kluson
|
J. Kluson
|
Canonical Analysis of Non-Relativistic Particle and Superparticle
|
17 pages, references added
| null |
10.1140/epjc/s10052-018-5609-3
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform canonical analysis of non-relativistic particle in Newton-Cartan
Background. Then we extend this analysis to the case of non-relativistic
superparticle in the same background. We determine constraints structure of
this theory and find generator of \kappa-symmetry.
|
[
{
"created": "Wed, 27 Sep 2017 09:21:05 GMT",
"version": "v1"
},
{
"created": "Wed, 4 Oct 2017 08:54:45 GMT",
"version": "v2"
}
] |
2018-04-04
|
[
[
"Kluson",
"J.",
""
]
] |
We perform canonical analysis of non-relativistic particle in Newton-Cartan Background. Then we extend this analysis to the case of non-relativistic superparticle in the same background. We determine constraints structure of this theory and find generator of \kappa-symmetry.
|
hep-th/0009166
|
Alexei Nurmagambetov
|
S. Fedoruk, V. G. Zima
|
Massive Superparticle with Tensorial Central Charges
|
20 pages, Latex
|
Mod.Phys.Lett.A15:2281-2296,2000
|
10.1142/S0217732300002875
| null |
hep-th
| null |
We construct the manifestly Lorenz-invariant formulation of the N=1 D=4
massive superparticle with tensorial central charges. The model contains a real
parameter k and at $k\ne 0$ possesses one $\kappa$-symmetry while at k=0 the
number of $\kappa$-symmetry is two. The equivalence of the formulations at all
$k\ne 0$ is obtained. The local transformations of $\kappa$-symmetry are
written out. It is considered the using of index spinor for construction of the
tensorial central charges. It is obtained the equivalence at classical level
between the massive D=4 superparticle with one $\kappa$-symmetry and the
massive D=4 spinning particle
|
[
{
"created": "Thu, 21 Sep 2000 12:37:05 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Fedoruk",
"S.",
""
],
[
"Zima",
"V. G.",
""
]
] |
We construct the manifestly Lorenz-invariant formulation of the N=1 D=4 massive superparticle with tensorial central charges. The model contains a real parameter k and at $k\ne 0$ possesses one $\kappa$-symmetry while at k=0 the number of $\kappa$-symmetry is two. The equivalence of the formulations at all $k\ne 0$ is obtained. The local transformations of $\kappa$-symmetry are written out. It is considered the using of index spinor for construction of the tensorial central charges. It is obtained the equivalence at classical level between the massive D=4 superparticle with one $\kappa$-symmetry and the massive D=4 spinning particle
|
hep-th/0403092
|
Jonas Bj\"ornsson
|
Jonas Bjornsson, Stephen Hwang
|
The membrane as a perturbation around string-like configurations
|
23 pages; references added
|
Nucl.Phys. B689 (2004) 37-52
|
10.1016/j.nuclphysb.2004.04.023
| null |
hep-th
| null |
The bosonic membrane in a partial gauge, where one space dimension is
eliminated, is formulated as a perturbation theory around an exact free
string-like solution. This perturbative regime corresponds to a situation where
one of the world-volume space-like dimensions is much greater than the other,
so that the membrane has the form of a narrow band or large hoop with string
excitations being transverse to the widest dimension. The perturbative
equations of motion are studied and solved to first order. Furthermore, it is
shown for the open or semi-open cases and to any order in perturbation theory,
that one may find canonical transformations that will transform the membrane
Hamiltonian into a free string-like Hamiltonian and a boundary Hamiltonian.
Thus the membrane dynamics in our perturbation scheme is essentially captured
by an interacting boundary theory defined on a two-dimensional world-sheet. A
possible implication of this to M-theory is discussed.
|
[
{
"created": "Mon, 8 Mar 2004 16:59:30 GMT",
"version": "v1"
},
{
"created": "Wed, 17 Mar 2004 08:38:50 GMT",
"version": "v2"
}
] |
2009-11-10
|
[
[
"Bjornsson",
"Jonas",
""
],
[
"Hwang",
"Stephen",
""
]
] |
The bosonic membrane in a partial gauge, where one space dimension is eliminated, is formulated as a perturbation theory around an exact free string-like solution. This perturbative regime corresponds to a situation where one of the world-volume space-like dimensions is much greater than the other, so that the membrane has the form of a narrow band or large hoop with string excitations being transverse to the widest dimension. The perturbative equations of motion are studied and solved to first order. Furthermore, it is shown for the open or semi-open cases and to any order in perturbation theory, that one may find canonical transformations that will transform the membrane Hamiltonian into a free string-like Hamiltonian and a boundary Hamiltonian. Thus the membrane dynamics in our perturbation scheme is essentially captured by an interacting boundary theory defined on a two-dimensional world-sheet. A possible implication of this to M-theory is discussed.
|
1804.04639
|
Shuichi Yokoyama
|
Tomoki Nosaka and Shuichi Yokoyama
|
Index and duality of minimal N=4 Chern-Simons-matter theories
|
1+18 pages, no figres, v2: minor corrections, improvements and
references added
| null |
10.1007/JHEP06(2018)028
|
KIAS-P18033, YITP-18-29
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We perform a first step analysis toward generalization of the classification
of N=4 linear quiver gauge theories by Gaiotto and Witten including
Chern-Simons interaction. For this we investigate minimal N=4 U(N_1)_k x
U(N_2)_{-k} Chern-Simons theories and their superconformal indices. In the
previous publication we analyzed the three-sphere partition function of the
theories, which implies that the theory is good/ugly/bad if k-N_1-N_2 is
greater than/equal to/smaller than -1. In this paper we verify that this
classification is consistent with the behavior of the superconformal index. We
compare the superconformal indices for several pairs of non-bad theories
connected by the Hanany-Witten transition and confirm their coincidence up to
the contribution of one hypermultiplet.
|
[
{
"created": "Thu, 12 Apr 2018 17:29:22 GMT",
"version": "v1"
},
{
"created": "Thu, 26 Apr 2018 08:42:25 GMT",
"version": "v2"
}
] |
2018-07-04
|
[
[
"Nosaka",
"Tomoki",
""
],
[
"Yokoyama",
"Shuichi",
""
]
] |
We perform a first step analysis toward generalization of the classification of N=4 linear quiver gauge theories by Gaiotto and Witten including Chern-Simons interaction. For this we investigate minimal N=4 U(N_1)_k x U(N_2)_{-k} Chern-Simons theories and their superconformal indices. In the previous publication we analyzed the three-sphere partition function of the theories, which implies that the theory is good/ugly/bad if k-N_1-N_2 is greater than/equal to/smaller than -1. In this paper we verify that this classification is consistent with the behavior of the superconformal index. We compare the superconformal indices for several pairs of non-bad theories connected by the Hanany-Witten transition and confirm their coincidence up to the contribution of one hypermultiplet.
|
1204.4742
|
Linus Wulff
|
Nitin Rughoonauth, Per Sundin and Linus Wulff
|
Near BMN dynamics of the AdS(3) x S(3) x S(3) x S(1) superstring
|
28 pages; v2: Fixed signs and eq. (B.1), results unchanged, one
reference added; v3: Matches published version
| null |
10.1007/JHEP07(2012)159
|
MIFPA-12-17
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the type IIA AdS(3) x S(3) x M(4) superstring with M(4)=S(3) x
S(1) or M(4)=T(4). String theory in this background is interesting because of
AdS3/CFT2 and its newly discovered integrable structures. We derive the kappa
symmetry gauge-fixed Green-Schwarz string action to quadratic order in fermions
and quartic order in fields utilizing a near BMN expansion. As a first
consistency check of our results we show that the two point functions are
one-loop finite in dimensional regularization. We then perform a Hamiltonian
analysis where we compare the energy of string states with the predictions of a
set of conjectured Bethe equations. While we find perfect agreement for single
rank one sectors, we find that the product SU(2) x SU(2) sector does not match
unless the Bethe equations decouple completely. We then calculate 2 to 2
bosonic tree-level scattering processes on the string worldsheet and show that
the two-dimensional S-matrix is reflectionless. This might be important due to
the presence of massless worldsheet excitations which are generally not
described by the Bethe equations.
|
[
{
"created": "Fri, 20 Apr 2012 20:49:44 GMT",
"version": "v1"
},
{
"created": "Thu, 24 May 2012 17:00:40 GMT",
"version": "v2"
},
{
"created": "Thu, 18 Oct 2012 14:26:44 GMT",
"version": "v3"
}
] |
2017-08-23
|
[
[
"Rughoonauth",
"Nitin",
""
],
[
"Sundin",
"Per",
""
],
[
"Wulff",
"Linus",
""
]
] |
We investigate the type IIA AdS(3) x S(3) x M(4) superstring with M(4)=S(3) x S(1) or M(4)=T(4). String theory in this background is interesting because of AdS3/CFT2 and its newly discovered integrable structures. We derive the kappa symmetry gauge-fixed Green-Schwarz string action to quadratic order in fermions and quartic order in fields utilizing a near BMN expansion. As a first consistency check of our results we show that the two point functions are one-loop finite in dimensional regularization. We then perform a Hamiltonian analysis where we compare the energy of string states with the predictions of a set of conjectured Bethe equations. While we find perfect agreement for single rank one sectors, we find that the product SU(2) x SU(2) sector does not match unless the Bethe equations decouple completely. We then calculate 2 to 2 bosonic tree-level scattering processes on the string worldsheet and show that the two-dimensional S-matrix is reflectionless. This might be important due to the presence of massless worldsheet excitations which are generally not described by the Bethe equations.
|
hep-th/9707194
|
Ctirad Klimcik
|
C. Klimcik
|
Poisson-Lie T-duality and (1,1) supersymmetry
|
12 pages, LaTeX,(one reference corrected)
|
Phys.Lett. B414 (1997) 85-91
|
10.1016/S0370-2693(97)01135-0
|
IHES/P/97/58
|
hep-th
| null |
A duality invariant action for (1,1) supersymmetric extension of Poisson-Lie
dualizable $\sigma$-models is constructed.
|
[
{
"created": "Wed, 23 Jul 1997 21:45:05 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Jul 1997 07:28:23 GMT",
"version": "v2"
}
] |
2009-10-30
|
[
[
"Klimcik",
"C.",
""
]
] |
A duality invariant action for (1,1) supersymmetric extension of Poisson-Lie dualizable $\sigma$-models is constructed.
|
hep-th/9410081
|
Joannis Papavassiliou
|
Joannis Papavassiliou, Kostas Philippides and Martin Schaden
|
The heavy quark decomposition of the S-matrix and its relation to the
pinch technique
|
11 uuencoded pages, NYU-TH-94/10/03
|
Phys.Rev. D51 (1995) 6364-6368
|
10.1103/PhysRevD.51.6364
| null |
hep-th
| null |
We propose a decomposition of the S-matrix into individually gauge invariant
sub-amplitudes, which are kinematically akin to propagators, vertices, boxes,
etc. This decompsition is obtained by considering limits of the S-matrix when
some or all of the external particles have masses larger than any other
physical scale. We show at the one-loop level that the effective gluon
self-energy so defined is physically equivalent to the corresponding gauge
independent self-energy obtained in the framework of the pinch technique. The
generalization of this procedure to arbitrary gluonic $n$-point functions is
briefly discussed.
|
[
{
"created": "Tue, 11 Oct 1994 21:49:27 GMT",
"version": "v1"
}
] |
2009-10-28
|
[
[
"Papavassiliou",
"Joannis",
""
],
[
"Philippides",
"Kostas",
""
],
[
"Schaden",
"Martin",
""
]
] |
We propose a decomposition of the S-matrix into individually gauge invariant sub-amplitudes, which are kinematically akin to propagators, vertices, boxes, etc. This decompsition is obtained by considering limits of the S-matrix when some or all of the external particles have masses larger than any other physical scale. We show at the one-loop level that the effective gluon self-energy so defined is physically equivalent to the corresponding gauge independent self-energy obtained in the framework of the pinch technique. The generalization of this procedure to arbitrary gluonic $n$-point functions is briefly discussed.
|
hep-th/0411209
|
Antoine Van Proeyen
|
Eric Bergshoeff, Sorin Cucu, Tim de Wit, Jos Gheerardyn, Stefan
Vandoren and Antoine Van Proeyen
|
The map between conformal hypercomplex/hyper-Kaehler and
quaternionic(-Kaehler) geometry
|
54 pages, 2 figures; v2: small corrections, version to be published
in CMP; v3: changes of statement on (3.5)
|
Commun.Math.Phys. 262 (2006) 411-457
|
10.1007/s00220-005-1475-6
|
KUL-TF-04/33, UG-04/03, SPIN-04/21, ITF-UU-04/39, DFTT 27/04
|
hep-th math.DG
| null |
We review the general properties of target spaces of hypermultiplets, which
are quaternionic-like manifolds, and discuss the relations between these
manifolds and their symmetry generators. We explicitly construct a one-to-one
map between conformal hypercomplex manifolds (i.e. those that have a closed
homothetic Killing vector) and quaternionic manifolds of one quaternionic
dimension less. An important role is played by '\xi-transformations', relating
complex structures on conformal hypercomplex manifolds and connections on
quaternionic manifolds. In this map, the subclass of conformal hyper-Kaehler
manifolds is mapped to quaternionic-Kaehler manifolds. We relate the curvatures
of the corresponding manifolds and furthermore map the symmetries of these
manifolds to each other.
|
[
{
"created": "Tue, 23 Nov 2004 12:59:13 GMT",
"version": "v1"
},
{
"created": "Fri, 9 Dec 2005 10:46:48 GMT",
"version": "v2"
},
{
"created": "Fri, 15 Sep 2006 12:05:00 GMT",
"version": "v3"
}
] |
2009-11-10
|
[
[
"Bergshoeff",
"Eric",
""
],
[
"Cucu",
"Sorin",
""
],
[
"de Wit",
"Tim",
""
],
[
"Gheerardyn",
"Jos",
""
],
[
"Vandoren",
"Stefan",
""
],
[
"Van Proeyen",
"Antoine",
""
]
] |
We review the general properties of target spaces of hypermultiplets, which are quaternionic-like manifolds, and discuss the relations between these manifolds and their symmetry generators. We explicitly construct a one-to-one map between conformal hypercomplex manifolds (i.e. those that have a closed homothetic Killing vector) and quaternionic manifolds of one quaternionic dimension less. An important role is played by '\xi-transformations', relating complex structures on conformal hypercomplex manifolds and connections on quaternionic manifolds. In this map, the subclass of conformal hyper-Kaehler manifolds is mapped to quaternionic-Kaehler manifolds. We relate the curvatures of the corresponding manifolds and furthermore map the symmetries of these manifolds to each other.
|
hep-th/9803093
|
Simon Davis
|
Simon Davis
|
Summability of Superstring Theory
|
11 pages, TeX. A remark about C-cycles and dividing cycles and two
references have been added to the paper
|
Phys.Lett. B432 (1998) 317-325
|
10.1016/S0370-2693(98)00658-3
|
DAMTP-R/98/15, University of Cambridge; Report 98-5, University of
Sydney
|
hep-th
| null |
Several arguments are given for the summability of the superstring
perturbation series. Whereas the Schottky group coordinatization of moduli
space may be used to provide refined estimates of large-order bosonic string
amplitudes, the super-Schottky group variables define a measure for the
supermoduli space integral which leads to upper bounds on superstring
scattering amplitudes.
|
[
{
"created": "Wed, 11 Mar 1998 13:01:07 GMT",
"version": "v1"
},
{
"created": "Fri, 20 Mar 1998 13:35:28 GMT",
"version": "v2"
}
] |
2009-10-31
|
[
[
"Davis",
"Simon",
""
]
] |
Several arguments are given for the summability of the superstring perturbation series. Whereas the Schottky group coordinatization of moduli space may be used to provide refined estimates of large-order bosonic string amplitudes, the super-Schottky group variables define a measure for the supermoduli space integral which leads to upper bounds on superstring scattering amplitudes.
|
1302.2614
|
James Cline
|
James M. Cline, Kimmo Kainulainen
|
Improved Electroweak Phase Transition with Subdominant Inert Doublet
Dark Matter
|
4 pages, 5 figures; v2: fixed sign of change in branching ratio for
Higgs -> gamma gamma
| null |
10.1103/PhysRevD.87.071701
| null |
hep-ph astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The inert doublet dark matter model has recently gained attention as a
possible means of facilitating a strongly first order electroweak phase
transition (EWPT), as needed for baryogenesis. We extend previous results by
considering the regime where the DM is heavier than half the Higgs mass, and
its relic density is determined by annihilation into W, Z and Higgs bosons. We
find a large natural region of parameter space where the EWPT is strongly first
order, while the lightest inert doublet state typically contributes only 0.1-3%
of the total dark matter. Despite this small density, its interactions with
nucleons are strong enough to be directly detectable given a factor of 5
improvement over the current sensitivity of XENON100. A 10% decrease in the
branching ratio for Higgs decays to two photons is predicted.
|
[
{
"created": "Mon, 11 Feb 2013 20:59:58 GMT",
"version": "v1"
},
{
"created": "Mon, 22 Jul 2013 18:25:07 GMT",
"version": "v2"
}
] |
2013-07-23
|
[
[
"Cline",
"James M.",
""
],
[
"Kainulainen",
"Kimmo",
""
]
] |
The inert doublet dark matter model has recently gained attention as a possible means of facilitating a strongly first order electroweak phase transition (EWPT), as needed for baryogenesis. We extend previous results by considering the regime where the DM is heavier than half the Higgs mass, and its relic density is determined by annihilation into W, Z and Higgs bosons. We find a large natural region of parameter space where the EWPT is strongly first order, while the lightest inert doublet state typically contributes only 0.1-3% of the total dark matter. Despite this small density, its interactions with nucleons are strong enough to be directly detectable given a factor of 5 improvement over the current sensitivity of XENON100. A 10% decrease in the branching ratio for Higgs decays to two photons is predicted.
|
1604.06544
|
Arpan Krishna Mitra
|
Arpan Krishna Mitra, Rabin Banerjee, Subir Ghosh
|
On the equivalence among stress tensors in a gauge-fluid system
|
20 pages, no figure
|
International Journal of Modern Physics A Vol. 32, No. 36, 1750210
(2017)
|
10.1142/S0217751X17502104.
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this paper we bring out the subtleties involved in the study of a first
order relativistic field theory with auxiliary field variables playing an
essential role. In particular we discuss the nonisentropic Eulerian (or
Hamiltonian) fluid model. Interactions are introduced by coupling the fluid to
a {\it dynamical} Maxwell ($U(1)$) gauge field. This dynamical nature of the
gauge field is crucial in showing the equivalence, on the physical subspace, of
the stress tensor derived from two definitions, {\it{ie.}} the canonical
(Noether) one and the symmetric one. In the conventional equal-time formalism,
we have shown that the generators of the spacetime transformations obtained
from these two definitions agree, modulo the Gauss constraint. This equivalence
in the physical sector has been achieved only because of the dynamical nature
of the gauge fields. Subsequently we have explicitly demonstrated the validity
of the Schwinger condition. A detailed analysis of the model in lightcone
formalism has also been done where several interesting features are revealed.
|
[
{
"created": "Fri, 22 Apr 2016 05:57:25 GMT",
"version": "v1"
},
{
"created": "Tue, 23 Jan 2018 18:41:13 GMT",
"version": "v2"
}
] |
2018-01-24
|
[
[
"Mitra",
"Arpan Krishna",
""
],
[
"Banerjee",
"Rabin",
""
],
[
"Ghosh",
"Subir",
""
]
] |
In this paper we bring out the subtleties involved in the study of a first order relativistic field theory with auxiliary field variables playing an essential role. In particular we discuss the nonisentropic Eulerian (or Hamiltonian) fluid model. Interactions are introduced by coupling the fluid to a {\it dynamical} Maxwell ($U(1)$) gauge field. This dynamical nature of the gauge field is crucial in showing the equivalence, on the physical subspace, of the stress tensor derived from two definitions, {\it{ie.}} the canonical (Noether) one and the symmetric one. In the conventional equal-time formalism, we have shown that the generators of the spacetime transformations obtained from these two definitions agree, modulo the Gauss constraint. This equivalence in the physical sector has been achieved only because of the dynamical nature of the gauge fields. Subsequently we have explicitly demonstrated the validity of the Schwinger condition. A detailed analysis of the model in lightcone formalism has also been done where several interesting features are revealed.
|
hep-th/9512146
|
Rafael Ferraro
|
Rafael Ferraro and Claudio Simeone
|
Canonical Gauges in the Path Integral for Parametrized Systems
|
19 pages (TeX manuscript)
|
J.Math.Phys. 38 (1997) 599
|
10.1063/1.532006
| null |
hep-th gr-qc
| null |
It is well known that --differing from ordinary gauge systems-- canonical
gauges are not admissible in the path integral for parametrized systems. This
is the case for the relativistic particle and gravitation. However, a time
dependent canonical transformation can turn a parametrized system into an
ordinary gauge system. It is shown how to build a canonical transformation such
that the fixation of the new coordinates is equivalent to the fixation of the
original ones; this aim can be achieved only if the Hamiltonian constraint
allows for an intrinsic global time. Thus the resulting action, describing an
ordinary gauge system and allowing for canonical gauges, can be used in the
path integral for the quantum propagator associated with the original
variables.
|
[
{
"created": "Tue, 19 Dec 1995 12:22:00 GMT",
"version": "v1"
},
{
"created": "Tue, 19 Dec 1995 12:45:00 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Ferraro",
"Rafael",
""
],
[
"Simeone",
"Claudio",
""
]
] |
It is well known that --differing from ordinary gauge systems-- canonical gauges are not admissible in the path integral for parametrized systems. This is the case for the relativistic particle and gravitation. However, a time dependent canonical transformation can turn a parametrized system into an ordinary gauge system. It is shown how to build a canonical transformation such that the fixation of the new coordinates is equivalent to the fixation of the original ones; this aim can be achieved only if the Hamiltonian constraint allows for an intrinsic global time. Thus the resulting action, describing an ordinary gauge system and allowing for canonical gauges, can be used in the path integral for the quantum propagator associated with the original variables.
|
2112.07666
|
Adrien Fiorucci
|
Adrien Fiorucci
|
Leaky covariant phase spaces: Theory and application to $\Lambda$-BMS
symmetry
|
PhD thesis. 281 pages. 20 figures
| null | null | null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
The present thesis aims at providing a unified description of radiative phase
spaces in General Relativity for any value of the cosmological constant using
covariant phase space methods. We start by considering generic asymptotically
locally (A)dS spacetimes with leaky boundary conditions in the
Starobinsky/Fefferman-Graham gauge. The boundary structure is allowed to
fluctuate and plays the role of source yielding some flux of gravitational
radiation at the boundary. The holographic renormalization procedure is
employed to obtain finite surface charges for the whole class of boundary
diffeomorphisms and Weyl rescalings. We then propose a boundary gauge fixing
isolating the radiative boundary degrees of freedom without constraining the
Cauchy problem in asymptotically dS spacetimes. The residual gauge
transformations form the infinite-dimensional $\Lambda$-BMS algebroid, which
reduces to the Generalized BMS algebra of smooth supertranslations and
super-Lorentz transformations in the flat limit. The analysis is repeated in
the Bondi gauge in which we identify the analogues of the Bondi news, mass and
angular momentum aspects in the presence of a cosmological constant. We give a
prescription to perform the flat limit of the phase space and demonstrate how
to use this connection to renormalize the corresponding phase space of
asymptotically locally flat spacetimes at null infinity including smooth
super-Lorentz transformations. In that context, we discuss the memory effects
associated with super-Lorentz vacuum transitions and finally provide a new
definition of the BMS charges whose fluxes are compatible with soft theorems.
|
[
{
"created": "Tue, 14 Dec 2021 18:59:36 GMT",
"version": "v1"
}
] |
2021-12-15
|
[
[
"Fiorucci",
"Adrien",
""
]
] |
The present thesis aims at providing a unified description of radiative phase spaces in General Relativity for any value of the cosmological constant using covariant phase space methods. We start by considering generic asymptotically locally (A)dS spacetimes with leaky boundary conditions in the Starobinsky/Fefferman-Graham gauge. The boundary structure is allowed to fluctuate and plays the role of source yielding some flux of gravitational radiation at the boundary. The holographic renormalization procedure is employed to obtain finite surface charges for the whole class of boundary diffeomorphisms and Weyl rescalings. We then propose a boundary gauge fixing isolating the radiative boundary degrees of freedom without constraining the Cauchy problem in asymptotically dS spacetimes. The residual gauge transformations form the infinite-dimensional $\Lambda$-BMS algebroid, which reduces to the Generalized BMS algebra of smooth supertranslations and super-Lorentz transformations in the flat limit. The analysis is repeated in the Bondi gauge in which we identify the analogues of the Bondi news, mass and angular momentum aspects in the presence of a cosmological constant. We give a prescription to perform the flat limit of the phase space and demonstrate how to use this connection to renormalize the corresponding phase space of asymptotically locally flat spacetimes at null infinity including smooth super-Lorentz transformations. In that context, we discuss the memory effects associated with super-Lorentz vacuum transitions and finally provide a new definition of the BMS charges whose fluxes are compatible with soft theorems.
|
hep-th/0603064
|
Frank G\"ohmann
|
Herman E. Boos, Frank G\"ohmann, Andreas Kl\"umper and Junji Suzuki
|
Factorization of multiple integrals representing the density matrix of a
finite segment of the Heisenberg spin chain
|
15 pages, v2: a paragraph in the introduction rewritten, v3: typo in
eqn. (29) corrected, a few words changed
|
J.Stat.Mech.0604:P04001,2006
|
10.1088/1742-5468/2006/04/P04001
| null |
hep-th cond-mat.stat-mech
| null |
We consider the inhomogeneous generalization of the density matrix of a
finite segment of length $m$ of the antiferromagnetic Heisenberg chain. It is a
function of the temperature $T$ and the external magnetic field $h$, and
further depends on $m$ `spectral parameters' $\xi_j$. For short segments of
length 2 and 3 we decompose the known multiple integrals for the elements of
the density matrix into finite sums over products of single integrals. This
provides new numerically efficient expressions for the two-point functions of
the infinite Heisenberg chain at short distances. It further leads us to
conjecture an exponential formula for the density matrix involving only a
double Cauchy-type integral in the exponent. We expect this formula to hold for
arbitrary $m$ and $T$ but zero magnetic field.
|
[
{
"created": "Wed, 8 Mar 2006 15:48:04 GMT",
"version": "v1"
},
{
"created": "Wed, 15 Mar 2006 08:48:59 GMT",
"version": "v2"
},
{
"created": "Fri, 7 Apr 2006 09:05:39 GMT",
"version": "v3"
}
] |
2011-02-16
|
[
[
"Boos",
"Herman E.",
""
],
[
"Göhmann",
"Frank",
""
],
[
"Klümper",
"Andreas",
""
],
[
"Suzuki",
"Junji",
""
]
] |
We consider the inhomogeneous generalization of the density matrix of a finite segment of length $m$ of the antiferromagnetic Heisenberg chain. It is a function of the temperature $T$ and the external magnetic field $h$, and further depends on $m$ `spectral parameters' $\xi_j$. For short segments of length 2 and 3 we decompose the known multiple integrals for the elements of the density matrix into finite sums over products of single integrals. This provides new numerically efficient expressions for the two-point functions of the infinite Heisenberg chain at short distances. It further leads us to conjecture an exponential formula for the density matrix involving only a double Cauchy-type integral in the exponent. We expect this formula to hold for arbitrary $m$ and $T$ but zero magnetic field.
|
hep-ph/0010146
|
Andreas Vogt
|
A. Vogt (Leiden University)
|
Next-to-next-to-leading logarithmic threshold resummation for
deep-inelastic scattering and the Drell-Yan process
|
9 pages, LaTeX, 2 eps-figures
|
Phys.Lett. B497 (2001) 228-234
|
10.1016/S0370-2693(00)01344-7
|
INLO-PUB 10/00
|
hep-ph
| null |
The soft-gluon resummation exponents G^N in moment space are investigated for
the quark coefficient functions in deep-inelastic structure functions and the
quark-antiquark contribution to the Drell-Yan cross section dsigma/dM.
Employing results from two- and three-loop calculations we obtain the
next-to-next-to-leading logarithmic terms alpha_s (alpha_s ln N)^n of G^N to
all orders in the strong coupling constant alpha_s. These new contributions
facilitate a reliable assessment of the numerical effect and the stability of
the large-N expansion.
|
[
{
"created": "Sat, 14 Oct 2000 13:32:53 GMT",
"version": "v1"
}
] |
2009-10-31
|
[
[
"Vogt",
"A.",
"",
"Leiden University"
]
] |
The soft-gluon resummation exponents G^N in moment space are investigated for the quark coefficient functions in deep-inelastic structure functions and the quark-antiquark contribution to the Drell-Yan cross section dsigma/dM. Employing results from two- and three-loop calculations we obtain the next-to-next-to-leading logarithmic terms alpha_s (alpha_s ln N)^n of G^N to all orders in the strong coupling constant alpha_s. These new contributions facilitate a reliable assessment of the numerical effect and the stability of the large-N expansion.
|
1405.3459
|
Giovanni Acquaviva
|
G. Acquaviva, A. Beesham
|
Nonlinear bulk viscosity and the stability of accelerated expansion in
FRW spacetime
|
12 pages, 7 figures
| null |
10.1103/PhysRevD.90.023503
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In the context of dark energy solutions, we consider a
Friedmann-Robertson-Walker spacetime filled with a non-interacting mixture of
dust and a viscous fluid, whose bulk viscosity is governed by the nonlinear
model proposed in [15]. Through a phase space analysis of the equivalent
dynamical system, existence and stability of critical solutions are established
and the respective scale factors are computed. The results point towards the
possibility of describing the current accelerated expansion of the Universe by
means of the abovementioned nonlinear model for viscosity.
|
[
{
"created": "Wed, 14 May 2014 11:35:57 GMT",
"version": "v1"
}
] |
2015-06-19
|
[
[
"Acquaviva",
"G.",
""
],
[
"Beesham",
"A.",
""
]
] |
In the context of dark energy solutions, we consider a Friedmann-Robertson-Walker spacetime filled with a non-interacting mixture of dust and a viscous fluid, whose bulk viscosity is governed by the nonlinear model proposed in [15]. Through a phase space analysis of the equivalent dynamical system, existence and stability of critical solutions are established and the respective scale factors are computed. The results point towards the possibility of describing the current accelerated expansion of the Universe by means of the abovementioned nonlinear model for viscosity.
|
2212.09499
|
Zeeshan Gul
|
M. Sharif and M. Zeeshan Gul
|
Noether Symmetries and Some Exact Solutions in $f(R, T^{2})$ Theory
|
Accepted
| null |
10.1134/S106377612303007X
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The main objective of this article is to examine some physically viable
solutions through the Noether symmetry technique in $f(R, T^{2})$ theory. For
this purpose, we assume a generalized anisotropic and homogenous spacetime that
yields distinct cosmic models. In order to investigate Noether equations,
symmetry generators and conserved quantities, we use a specific model of this
modified theory. We find exact solutions and examine the behavior of various
cosmological quantities. It is found the behavior these quantities is
consistent with current observations indicating that this theory describes the
cosmic accelerated expansion. We conclude that generators of Noether symmetry
and conserved quantities exist in this theory.
|
[
{
"created": "Fri, 16 Dec 2022 03:23:45 GMT",
"version": "v1"
}
] |
2023-06-14
|
[
[
"Sharif",
"M.",
""
],
[
"Gul",
"M. Zeeshan",
""
]
] |
The main objective of this article is to examine some physically viable solutions through the Noether symmetry technique in $f(R, T^{2})$ theory. For this purpose, we assume a generalized anisotropic and homogenous spacetime that yields distinct cosmic models. In order to investigate Noether equations, symmetry generators and conserved quantities, we use a specific model of this modified theory. We find exact solutions and examine the behavior of various cosmological quantities. It is found the behavior these quantities is consistent with current observations indicating that this theory describes the cosmic accelerated expansion. We conclude that generators of Noether symmetry and conserved quantities exist in this theory.
|
1610.08740
|
Suzanne Lan\'ery
|
Suzanne Lan\'ery
|
Polarization-free Quantization of Linear Field Theories
|
50 pp. + 44 pp. appendix, 10 figures
| null | null | null |
hep-th gr-qc math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well-known that there exist infinitely-many inequivalent
representations of the canonical (anti)-commutation relations of Quantum Field
Theory (QFT). A way out, suggested by Algebraic QFT, is to instead define the
quantum theory as encompassing all possible (abstract) states. In the present
paper, we describe a quantization scheme for general linear (aka. free) field
theories that can be seen as intermediate between traditional Fock quantization
and full Algebraic QFT, in the sense that:
* it provides a constructive, explicit description of the resulting space of
quantum states;
* it does not require the choice of a polarization, aka. the splitting of
classical solutions into positive vs. negative-frequency modes: in fact, any
Fock representation corresponding to a "reasonable" choice of polarization is
naturally embedded;
* it supports the implementation of a "large enough" class of linear
symplectomorphisms of the classical, infinite-dimensional phase space.
The proposed quantization (like Algebraic QFT) is notably meant for use on
curved spacetimes, where the lack of a preferred choice of polarization makes
the introduction of a Fock representation problematic. Accordingly, we
illustrate it in the simple case of a free Klein-Gordon field on a
spatially-compact, cosmological spacetime.
|
[
{
"created": "Thu, 27 Oct 2016 12:16:48 GMT",
"version": "v1"
}
] |
2016-10-28
|
[
[
"Lanéry",
"Suzanne",
""
]
] |
It is well-known that there exist infinitely-many inequivalent representations of the canonical (anti)-commutation relations of Quantum Field Theory (QFT). A way out, suggested by Algebraic QFT, is to instead define the quantum theory as encompassing all possible (abstract) states. In the present paper, we describe a quantization scheme for general linear (aka. free) field theories that can be seen as intermediate between traditional Fock quantization and full Algebraic QFT, in the sense that: * it provides a constructive, explicit description of the resulting space of quantum states; * it does not require the choice of a polarization, aka. the splitting of classical solutions into positive vs. negative-frequency modes: in fact, any Fock representation corresponding to a "reasonable" choice of polarization is naturally embedded; * it supports the implementation of a "large enough" class of linear symplectomorphisms of the classical, infinite-dimensional phase space. The proposed quantization (like Algebraic QFT) is notably meant for use on curved spacetimes, where the lack of a preferred choice of polarization makes the introduction of a Fock representation problematic. Accordingly, we illustrate it in the simple case of a free Klein-Gordon field on a spatially-compact, cosmological spacetime.
|
1407.6007
|
Giulio Pasini
|
Stefano Massai, Giulio Pasini and Andrea Puhm
|
Metastability in Bubbling AdS Space
|
38 pages, 8 figures
|
JHEP 1502 (2015) 138
|
10.1007/JHEP02(2015)138
|
LMU-ASC 44/14, IPhT-T14/103
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the dynamics of probe M5 branes with dissolved M2 charge in bubbling
geometries with SO(4) x SO(4) symmetry. These solutions were constructed by
Bena-Warner and Lin-Lunin-Maldacena and correspond to the vacua of the
maximally supersymmetric mass-deformed M2 brane theory. We find that
supersymmetric probe M2 branes polarize into M5 brane shells whose backreaction
creates an additional bubble in the geometry. We explicitly check that the
supersymmetric polarization potential agrees with the one found within the
Polchinski-Strassler approximation. The main result of this paper is that probe
M2 branes whose orientation is opposite to the background flux can polarize
into metastable M5 brane shells. These decay to a supersymmetric configuration
via brane-flux annihilation. Our findings suggest the existence of metastable
states in the mass-deformed M2 brane theory.
|
[
{
"created": "Tue, 22 Jul 2014 20:00:24 GMT",
"version": "v1"
}
] |
2015-09-02
|
[
[
"Massai",
"Stefano",
""
],
[
"Pasini",
"Giulio",
""
],
[
"Puhm",
"Andrea",
""
]
] |
We study the dynamics of probe M5 branes with dissolved M2 charge in bubbling geometries with SO(4) x SO(4) symmetry. These solutions were constructed by Bena-Warner and Lin-Lunin-Maldacena and correspond to the vacua of the maximally supersymmetric mass-deformed M2 brane theory. We find that supersymmetric probe M2 branes polarize into M5 brane shells whose backreaction creates an additional bubble in the geometry. We explicitly check that the supersymmetric polarization potential agrees with the one found within the Polchinski-Strassler approximation. The main result of this paper is that probe M2 branes whose orientation is opposite to the background flux can polarize into metastable M5 brane shells. These decay to a supersymmetric configuration via brane-flux annihilation. Our findings suggest the existence of metastable states in the mass-deformed M2 brane theory.
|
1311.2390
|
Seckson Sukhasena
|
E.B.Manoukian and S.Sukkhasena
|
The Graviton Propagator with a Non-Conserved External Generating Source
|
12 pages
|
published in Fortschritte der Physik, 55, No.11-12, (2007)
|
10.1002/prop.200710393
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A novel general expression is obtained for the graviton propagator from
Lagrangian field theory by taking into account the necessary fact that in the
functional differential approach of quantum field theory, in order to generate
non-linearities in gravitation and interactions with matter, the external
source $T_{\mu\nu}$, coupled to the gravitational field, should \textit{a
priori} not be conserved $\partial^\mu T_{\mu\nu}\neq 0$, so variations with
respect to its ten components may be varied \textit{independently}. The
resulting propagator is the one which arises in the functional approach and
does \textit{not} coincide with the corresponding time-ordered product of two
fields and it includes so-called Schwinger terms. The quantization is carried
out in a gauge corresponding to physical states with two polarization states to
ensure positivity in quantum applications.
|
[
{
"created": "Mon, 11 Nov 2013 09:33:54 GMT",
"version": "v1"
}
] |
2013-11-12
|
[
[
"Manoukian",
"E. B.",
""
],
[
"Sukkhasena",
"S.",
""
]
] |
A novel general expression is obtained for the graviton propagator from Lagrangian field theory by taking into account the necessary fact that in the functional differential approach of quantum field theory, in order to generate non-linearities in gravitation and interactions with matter, the external source $T_{\mu\nu}$, coupled to the gravitational field, should \textit{a priori} not be conserved $\partial^\mu T_{\mu\nu}\neq 0$, so variations with respect to its ten components may be varied \textit{independently}. The resulting propagator is the one which arises in the functional approach and does \textit{not} coincide with the corresponding time-ordered product of two fields and it includes so-called Schwinger terms. The quantization is carried out in a gauge corresponding to physical states with two polarization states to ensure positivity in quantum applications.
|
1207.7086
|
Jan Gutowski
|
J. Gutowski and G. Papadopoulos
|
M-Horizons
|
36 pages, latex. Reference added, minor typos corrected
| null |
10.1007/JHEP12(2012)100
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We solve the Killing spinor equations and determine the near horizon
geometries of M-theory that preserve at least one supersymmetry. The M-horizon
spatial sections are 9-dimensional manifolds with a Spin(7) structure
restricted by geometric constraints which we give explicitly. We also provide
an alternative characterization of the solutions of the Killing spinor
equation, utilizing the compactness of the horizon section and the field
equations, by proving a Lichnerowicz type of theorem which implies that the
zero modes of a Dirac operator coupled to 4-form fluxes are Killing spinors. We
use this, and the maximum principle, to solve the field equations of the theory
for some special cases and present some examples.
|
[
{
"created": "Mon, 30 Jul 2012 20:03:47 GMT",
"version": "v1"
},
{
"created": "Tue, 18 Dec 2012 14:52:45 GMT",
"version": "v2"
}
] |
2015-06-05
|
[
[
"Gutowski",
"J.",
""
],
[
"Papadopoulos",
"G.",
""
]
] |
We solve the Killing spinor equations and determine the near horizon geometries of M-theory that preserve at least one supersymmetry. The M-horizon spatial sections are 9-dimensional manifolds with a Spin(7) structure restricted by geometric constraints which we give explicitly. We also provide an alternative characterization of the solutions of the Killing spinor equation, utilizing the compactness of the horizon section and the field equations, by proving a Lichnerowicz type of theorem which implies that the zero modes of a Dirac operator coupled to 4-form fluxes are Killing spinors. We use this, and the maximum principle, to solve the field equations of the theory for some special cases and present some examples.
|
1306.5083
|
Bert Schellekens
|
A.N. Schellekens
|
Life at the Interface of Particle Physics and String Theory
|
59 pages, 5 figures. Invited contribution to Reviews of Modern
Physics (original submission date 25 March 2013). Extended version available
at http://www.nikhef.nl/~t58/Site/RMP v2: References added, a few typos
corrected. v3: Hyperlinks enabled, tex source made paperscape-proof, a few
typos corrected. v4: Journal info added, no changes in manuscript
|
Rev. Mod. Phys. 85, 1491 (2013)
|
10.1103/RevModPhys.85.1491
|
NIKHEF/2013-010
|
hep-ph hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
If the results of the first LHC run are not betraying us, many decades of
particle physics are culminating in a complete and consistent theory for all
non-gravitational physics: the Standard Model. But despite this monumental
achievement there is a clear sense of disappointment: many questions remain
unanswered. Remarkably, most unanswered questions could just be environmental,
and disturbingly (to some) the existence of life may depend on that
environment. Meanwhile there has been increasing evidence that the seemingly
ideal candidate for answering these questions, String Theory, gives an answer
few people initially expected: a huge "landscape" of possibilities, that can be
realized in a multiverse and populated by eternal inflation. At the interface
of "bottom-up" and "top-down" physics, a discussion of anthropic arguments
becomes unavoidable. We review developments in this area, focusing especially
on the last decade.
|
[
{
"created": "Fri, 21 Jun 2013 09:32:36 GMT",
"version": "v1"
},
{
"created": "Wed, 24 Jul 2013 13:13:33 GMT",
"version": "v2"
},
{
"created": "Wed, 4 Sep 2013 09:41:53 GMT",
"version": "v3"
},
{
"created": "Tue, 7 Jan 2014 17:53:10 GMT",
"version": "v4"
}
] |
2014-01-08
|
[
[
"Schellekens",
"A. N.",
""
]
] |
If the results of the first LHC run are not betraying us, many decades of particle physics are culminating in a complete and consistent theory for all non-gravitational physics: the Standard Model. But despite this monumental achievement there is a clear sense of disappointment: many questions remain unanswered. Remarkably, most unanswered questions could just be environmental, and disturbingly (to some) the existence of life may depend on that environment. Meanwhile there has been increasing evidence that the seemingly ideal candidate for answering these questions, String Theory, gives an answer few people initially expected: a huge "landscape" of possibilities, that can be realized in a multiverse and populated by eternal inflation. At the interface of "bottom-up" and "top-down" physics, a discussion of anthropic arguments becomes unavoidable. We review developments in this area, focusing especially on the last decade.
|
2205.11003
|
Xiao-Mei Kuang
|
Xiao-Mei Kuang, Ali \"Ovg\"un
|
Strong gravitational lensing and shadow constraint from M87* of slowly
rotating Kerr-like black hole
|
22 pages; version accepted for publication in Annals of Physics
|
Annals of Physics 447 (2022) 169147
|
10.1016/j.aop.2022.169147
| null |
gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
Motivated by (i) more and more interest in strong gravitational lensing by
supermassive black holes due to the achievement of EHT observations, (ii) the
ongoing popular topic on the possibility of Lorentz symmetry being broken in
gravitation and its consequences, we will apply the Einstein bumblebee gravity
with Lorentz violation (LV) to the study of strong gravitational lensing effect
and the black hole shadow of slowly rotating Kerr-like black hole. In the
strong gravitational lensing sector, we first calculate the deflection angel;
then treating the slowly rotating Kerr-like black hole as supermassive M87*
black hole, we evaluate the gravitational lensing observables (position,
separation and magnification) and the time delays between the relativistic
images. In the black hole shadow sector, we show the effect of LV parameter on
the luminosity of the black hole shadow and photon sphere using the infalling
spherical accretion. Moreover, we explore the dependence of various shadow
observables on the LV parameter, and then give the possible constraint on the
LV parameter by M87* black hole of EHT observations. We find that the LV
parameter show significant effect on the strong gravitational lensing effect,
the black hole shadow and photon sphere luminosity by accretion material. Our
results point out that the future generations of EHT observation may help to
distinguish the Einstein bumblebee gravity from GR, and also give a possible
constrain on the LV parameter.
|
[
{
"created": "Mon, 23 May 2022 02:34:56 GMT",
"version": "v1"
},
{
"created": "Sun, 16 Oct 2022 08:53:19 GMT",
"version": "v2"
}
] |
2022-11-01
|
[
[
"Kuang",
"Xiao-Mei",
""
],
[
"Övgün",
"Ali",
""
]
] |
Motivated by (i) more and more interest in strong gravitational lensing by supermassive black holes due to the achievement of EHT observations, (ii) the ongoing popular topic on the possibility of Lorentz symmetry being broken in gravitation and its consequences, we will apply the Einstein bumblebee gravity with Lorentz violation (LV) to the study of strong gravitational lensing effect and the black hole shadow of slowly rotating Kerr-like black hole. In the strong gravitational lensing sector, we first calculate the deflection angel; then treating the slowly rotating Kerr-like black hole as supermassive M87* black hole, we evaluate the gravitational lensing observables (position, separation and magnification) and the time delays between the relativistic images. In the black hole shadow sector, we show the effect of LV parameter on the luminosity of the black hole shadow and photon sphere using the infalling spherical accretion. Moreover, we explore the dependence of various shadow observables on the LV parameter, and then give the possible constraint on the LV parameter by M87* black hole of EHT observations. We find that the LV parameter show significant effect on the strong gravitational lensing effect, the black hole shadow and photon sphere luminosity by accretion material. Our results point out that the future generations of EHT observation may help to distinguish the Einstein bumblebee gravity from GR, and also give a possible constrain on the LV parameter.
|
2006.09193
|
Mohammad R. Garousi
|
Mohammad R. Garousi
|
Minimal gauge invariant couplings at order $\alpha'^3$: NS-NS fields
|
28 pages, Latex file, no figure. arXiv admin note: text overlap with
arXiv:1905.10800
| null |
10.1140/epjc/s10052-020-08662-9
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Removing the field redefinitions, the Bianchi identities and the total
derivative freedoms from the general form of gauge invariant NS-NS couplings at
order $\alpha'^3$, we have found that the minimum number of independent
couplings is 872. We find that there are schemes in which there is no term with
structures $R,\,R_{\mu\nu},\,\nabla_\mu H^{\mu\alpha\beta}$, $
\nabla_\mu\nabla^\mu\Phi$. In these schemes, there are sub-schemes in which,
except one term, the couplings can have no term with more than two derivatives.
In the sub-scheme that we have chosen, the 872 couplings appear in 55 different
structures. We fix some of the parameters in type II supersting theory by its
corresponding four-point functions. The coupling which has term with more than
two derivatives is constraint to be zero by the four-point functions.
|
[
{
"created": "Mon, 15 Jun 2020 10:35:55 GMT",
"version": "v1"
},
{
"created": "Mon, 21 Sep 2020 10:13:52 GMT",
"version": "v2"
}
] |
2020-12-30
|
[
[
"Garousi",
"Mohammad R.",
""
]
] |
Removing the field redefinitions, the Bianchi identities and the total derivative freedoms from the general form of gauge invariant NS-NS couplings at order $\alpha'^3$, we have found that the minimum number of independent couplings is 872. We find that there are schemes in which there is no term with structures $R,\,R_{\mu\nu},\,\nabla_\mu H^{\mu\alpha\beta}$, $ \nabla_\mu\nabla^\mu\Phi$. In these schemes, there are sub-schemes in which, except one term, the couplings can have no term with more than two derivatives. In the sub-scheme that we have chosen, the 872 couplings appear in 55 different structures. We fix some of the parameters in type II supersting theory by its corresponding four-point functions. The coupling which has term with more than two derivatives is constraint to be zero by the four-point functions.
|
1112.2146
|
Amitabh Virmani
|
Amitabh Virmani
|
Supertranslations and Holographic Stress Tensor
|
32 pages, no figures, LaTeX file; v2 minor changes, 33 pages,
published version
|
JHEP02 (2012) 024
|
10.1007/JHEP02(2012)024
|
AEI-2011-100
|
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well known in the context of four dimensional asymptotically flat
spacetimes that the leading order boundary metric must be conformal to unit de
Sitter metric when hyperbolic cutoffs are used. This situation is very
different from asymptotically AdS settings where one is allowed to choose an
arbitrary boundary metric. The closest one can come to changing the boundary
metric in the asymptotically flat context, while maintaining the group of
asymptotic symmetries to be Poincare, is to change the so-called
`supertranslation frame' \omega. The most studied choice corresponds to taking
\omega = 0. In this paper we study consequences of making alternative choices.
We perform this analysis in the covariant phase space approach as well as in
the holographic renormalization approach. We show that all choices for \omega
are allowed in the sense that the covariant phase space is well defined
irrespective of how we choose to fix supertranslations. The on-shell action and
the leading order boundary stress tensor are insensitive to the
supertranslation frame. The next to leading order boundary stress tensor
depends on the supertranslation frame but only in a way that the transformation
of angular momentum under translations continues to hold as in special
relativity.
|
[
{
"created": "Fri, 9 Dec 2011 16:52:53 GMT",
"version": "v1"
},
{
"created": "Thu, 16 Feb 2012 12:34:18 GMT",
"version": "v2"
}
] |
2012-02-17
|
[
[
"Virmani",
"Amitabh",
""
]
] |
It is well known in the context of four dimensional asymptotically flat spacetimes that the leading order boundary metric must be conformal to unit de Sitter metric when hyperbolic cutoffs are used. This situation is very different from asymptotically AdS settings where one is allowed to choose an arbitrary boundary metric. The closest one can come to changing the boundary metric in the asymptotically flat context, while maintaining the group of asymptotic symmetries to be Poincare, is to change the so-called `supertranslation frame' \omega. The most studied choice corresponds to taking \omega = 0. In this paper we study consequences of making alternative choices. We perform this analysis in the covariant phase space approach as well as in the holographic renormalization approach. We show that all choices for \omega are allowed in the sense that the covariant phase space is well defined irrespective of how we choose to fix supertranslations. The on-shell action and the leading order boundary stress tensor are insensitive to the supertranslation frame. The next to leading order boundary stress tensor depends on the supertranslation frame but only in a way that the transformation of angular momentum under translations continues to hold as in special relativity.
|
1904.00123
|
Benjamin C. Harms
|
Benjamin Harms
|
Rotating AdS Einstein universes from constrained metrics
|
11 pages, 1 figure
|
Phys. Rev. D 99, 124021 (2019)
|
10.1103/PhysRevD.99.124021
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The imposition of a constraint between the metric tensor elements in both
three- and four-dimensional, rotating AdS space-times is shown to reduce the
number of independent equations of motion and to result in new families of
solutions to the equations of motion. For the geometries investigated analytic
solutions or partial analytic solutions of the equations of motion are
obtained. In all cases the number of independent field equations is less than
the number of independent functions, resulting in an undetermined function
which can be freely specified. For rotating, asymptotically $AdS$ space-times
the reduction of the number of field equations to be solved holds for vacuum
black hole solutions and for black hole solutions obtained from space-times
containing matter.
|
[
{
"created": "Sat, 30 Mar 2019 00:13:12 GMT",
"version": "v1"
}
] |
2019-06-19
|
[
[
"Harms",
"Benjamin",
""
]
] |
The imposition of a constraint between the metric tensor elements in both three- and four-dimensional, rotating AdS space-times is shown to reduce the number of independent equations of motion and to result in new families of solutions to the equations of motion. For the geometries investigated analytic solutions or partial analytic solutions of the equations of motion are obtained. In all cases the number of independent field equations is less than the number of independent functions, resulting in an undetermined function which can be freely specified. For rotating, asymptotically $AdS$ space-times the reduction of the number of field equations to be solved holds for vacuum black hole solutions and for black hole solutions obtained from space-times containing matter.
|
1007.4044
|
Ya-Peng Hu
|
Ya-Peng Hu
|
Hawking radiation from the cosmological horizon in a FRW universe
|
V3: 12 pages, no figure, typos corrected, new references added,
version shorted and accepted by PLB
|
Phys.Lett.B701:269-274,2011
|
10.1016/j.physletb.2011.05.054
| null |
gr-qc astro-ph.CO hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
It is well known that there is a Hawking radiation from the cosmological
horizon of the de-sitter spacetime, and the de-sitter spacetime can be a
special case of a FRW universe. Therefore, there may be a corresponding Hawking
radiation in a FRW universe. Indeed, there have been several clues showing that
there is a Hawking radiation from the apparent horizon of a FRW universe. In
our paper, however, we find that the Hawking radiation may come from the
cosmological horizon. Moreover, we also find that the Hawking radiation from
the apparent horizon of a FRW universe in some previous works can be a special
case in our result, and the condition is that the variation rate of
cosmological horizon $\overset{.}{r}_{H}$ is zero. Note that, this condition is
also consistent with the underlying integrable condition in these works from
the apparent horizon.
|
[
{
"created": "Fri, 23 Jul 2010 05:33:36 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Oct 2010 03:21:31 GMT",
"version": "v2"
},
{
"created": "Tue, 14 Jun 2011 05:11:00 GMT",
"version": "v3"
}
] |
2011-06-24
|
[
[
"Hu",
"Ya-Peng",
""
]
] |
It is well known that there is a Hawking radiation from the cosmological horizon of the de-sitter spacetime, and the de-sitter spacetime can be a special case of a FRW universe. Therefore, there may be a corresponding Hawking radiation in a FRW universe. Indeed, there have been several clues showing that there is a Hawking radiation from the apparent horizon of a FRW universe. In our paper, however, we find that the Hawking radiation may come from the cosmological horizon. Moreover, we also find that the Hawking radiation from the apparent horizon of a FRW universe in some previous works can be a special case in our result, and the condition is that the variation rate of cosmological horizon $\overset{.}{r}_{H}$ is zero. Note that, this condition is also consistent with the underlying integrable condition in these works from the apparent horizon.
|
hep-th/0702113
|
J. David Vergara
|
Juan M. Romero, J. D. Vergara and J. A. Santiago
|
Noncommutative spaces, the quantum of time and the Lorentz symmetry
|
8 pages, to appear in PRD
|
Phys.Rev.D75:065008,2007
|
10.1103/PhysRevD.75.065008
| null |
hep-th
| null |
We introduce three space-times that are discrete in time and compatible with
the Lorentz symmetry. We show that these spaces are no commutative, with
commutation relations similar to the relations of the Snyder and Yang spaces.
Furthermore, using a reparametrized relativistic particle we obtain a
realization of the Snyder type spaces and we construct an action for them.
|
[
{
"created": "Wed, 14 Feb 2007 17:45:42 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Romero",
"Juan M.",
""
],
[
"Vergara",
"J. D.",
""
],
[
"Santiago",
"J. A.",
""
]
] |
We introduce three space-times that are discrete in time and compatible with the Lorentz symmetry. We show that these spaces are no commutative, with commutation relations similar to the relations of the Snyder and Yang spaces. Furthermore, using a reparametrized relativistic particle we obtain a realization of the Snyder type spaces and we construct an action for them.
|
1405.6622
|
Gian Paolo Vacca
|
R. Percacci and G. P. Vacca
|
Are there scaling solutions in the O(N)-models for large N in d>4?
|
5 pages, 4 figures, expanded introduction, in press on PRD
| null |
10.1103/PhysRevD.90.107702
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
There have been some speculations about the existence of critical unitary
O(N)-invariant scalar field theories in dimensions 4<d<6 and for large N. Using
the functional renormalization group equation, we show that in the lowest order
of the derivative expansion, and assuming that the anomalous dimension vanishes
for large $N$, the corresponding critical potentials are either unbounded from
below or singular for some finite value of the field.
|
[
{
"created": "Mon, 26 May 2014 15:39:19 GMT",
"version": "v1"
},
{
"created": "Sun, 9 Nov 2014 11:53:57 GMT",
"version": "v2"
}
] |
2015-06-19
|
[
[
"Percacci",
"R.",
""
],
[
"Vacca",
"G. P.",
""
]
] |
There have been some speculations about the existence of critical unitary O(N)-invariant scalar field theories in dimensions 4<d<6 and for large N. Using the functional renormalization group equation, we show that in the lowest order of the derivative expansion, and assuming that the anomalous dimension vanishes for large $N$, the corresponding critical potentials are either unbounded from below or singular for some finite value of the field.
|
1304.1080
|
Sergiu I. Vacaru
|
Sergiu I. Vacaru
|
Off-Diagonal Ekpyrotic Scenarios and Equivalence of Modified, Massive
and/or Einstein Gravity
|
latex2e, 12pt, 12 pages, v4 with up-dated affiliations and
substantial modifications requested by editor and referee and accepted by
Phys. Lett. B
|
Phys. Lett. B 752 (2016) 27-33
|
10.1016/j.physletb.2015.11.024
| null |
hep-th astro-ph.CO math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Using our anholonomic frame deformation method, we show how generic
off-diagonal cosmological solutions depending, in general, on all spacetime
coordinates and undergoing a phase of ultra-slow contraction can be constructed
in massive gravity. In this paper, there are found and studied new classes of
locally anisotropic and (in) homogeneous cosmological metrics with open and
closed spatial geometries. The late time acceleration is present due to
effective cosmological terms induced by nonlinear off-diagonal interactions and
graviton mass. The off-diagonal cosmological metrics and related St\" uckelberg
fields are constructed in explicit form up to nonholonomic frame transforms of
the Friedmann-Lama\^itre-Robertson-Walker (FLRW) coordinates. We show that the
solutions include matter, graviton mass and other effective sources modelling
nonlinear gravitational and matter fields interactions in modified and/or
massive gravity, with polarization of physical constants and deformations of
metrics, which may explain certain dark energy and dark matter effects. There
are stated and analyzed the conditions when such configurations mimic
interesting solutions in general relativity and modifications and recast the
general Painlev\'e--ullstrand and FLRW metrics. Finally, we elaborate on a
reconstruction procedure for a subclass of off-diagonal cosmological solutions
which describe cyclic and ekpyrotic universes, with an emphasis on open issues
and observable signatures.
|
[
{
"created": "Mon, 1 Apr 2013 06:30:36 GMT",
"version": "v1"
},
{
"created": "Thu, 25 Apr 2013 13:06:50 GMT",
"version": "v2"
},
{
"created": "Mon, 10 Nov 2014 12:24:24 GMT",
"version": "v3"
},
{
"created": "Mon, 9 Nov 2015 08:27:37 GMT",
"version": "v4"
}
] |
2017-06-05
|
[
[
"Vacaru",
"Sergiu I.",
""
]
] |
Using our anholonomic frame deformation method, we show how generic off-diagonal cosmological solutions depending, in general, on all spacetime coordinates and undergoing a phase of ultra-slow contraction can be constructed in massive gravity. In this paper, there are found and studied new classes of locally anisotropic and (in) homogeneous cosmological metrics with open and closed spatial geometries. The late time acceleration is present due to effective cosmological terms induced by nonlinear off-diagonal interactions and graviton mass. The off-diagonal cosmological metrics and related St\" uckelberg fields are constructed in explicit form up to nonholonomic frame transforms of the Friedmann-Lama\^itre-Robertson-Walker (FLRW) coordinates. We show that the solutions include matter, graviton mass and other effective sources modelling nonlinear gravitational and matter fields interactions in modified and/or massive gravity, with polarization of physical constants and deformations of metrics, which may explain certain dark energy and dark matter effects. There are stated and analyzed the conditions when such configurations mimic interesting solutions in general relativity and modifications and recast the general Painlev\'e--ullstrand and FLRW metrics. Finally, we elaborate on a reconstruction procedure for a subclass of off-diagonal cosmological solutions which describe cyclic and ekpyrotic universes, with an emphasis on open issues and observable signatures.
|
hep-th/0402070
|
V. Ch. Zhukovsky
|
V.Ch. Zhukovsky, A.S. Razumovsky, K.V. Zhukovsky
|
Vacuum effects in electrodynamics and in Yang-Mills theory in (2+1)
dimensions
|
29 pages, 2 figures
| null | null | null |
hep-th
| null |
Vacuum effects in (2+1)-dimensional quantum electrodynamics (QED) with the
topological Chern-Simons term are considered. The photon polarization operator
is studied and the decay rate for the electron-positron photoproduction is
presented as a function of the photon energy and external field strength. The
radiatively induced electron mass shift in an external magnetic field is
investigated. The electron self-energy in topologically massive (2+1)-QED at
finite temperature and density is studied. The parity breaking part of the
Yang-Mills action in the framework of the $SU(2)\times U(1)$ gauge field model
at finite temperature is considered.
|
[
{
"created": "Mon, 9 Feb 2004 14:51:02 GMT",
"version": "v1"
},
{
"created": "Wed, 3 Mar 2004 14:13:55 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Zhukovsky",
"V. Ch.",
""
],
[
"Razumovsky",
"A. S.",
""
],
[
"Zhukovsky",
"K. V.",
""
]
] |
Vacuum effects in (2+1)-dimensional quantum electrodynamics (QED) with the topological Chern-Simons term are considered. The photon polarization operator is studied and the decay rate for the electron-positron photoproduction is presented as a function of the photon energy and external field strength. The radiatively induced electron mass shift in an external magnetic field is investigated. The electron self-energy in topologically massive (2+1)-QED at finite temperature and density is studied. The parity breaking part of the Yang-Mills action in the framework of the $SU(2)\times U(1)$ gauge field model at finite temperature is considered.
|
gr-qc/0403067
|
Kostadin Trencevski
|
Kostadin Trencevski
|
Deformation of the Planetary Orbits Caused by the Time Dependent
Gravitational Potential in the Universe
|
7 pages
|
Gen.Rel.Grav. 37 (2005) 507-519
|
10.1007/s10714-005-0039-6
| null |
gr-qc
| null |
In the paper are studied the deformations of the planetary orbits caused by
the time dependent gravitational potential in the universe. It is shown that
the orbits are not axially symmetric and the time dependent potential does not
cause perihelion precession. It is found a simple formula for the change of the
orbit period caused by the time dependent gravitational potential and it is
tested for two binary pulsars.
|
[
{
"created": "Mon, 15 Mar 2004 20:45:57 GMT",
"version": "v1"
},
{
"created": "Thu, 20 May 2004 18:35:48 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Trencevski",
"Kostadin",
""
]
] |
In the paper are studied the deformations of the planetary orbits caused by the time dependent gravitational potential in the universe. It is shown that the orbits are not axially symmetric and the time dependent potential does not cause perihelion precession. It is found a simple formula for the change of the orbit period caused by the time dependent gravitational potential and it is tested for two binary pulsars.
|
1408.5005
|
Shu Luo
|
Shu Luo and Zhi-zhong Xing
|
Resolving the octant of theta_{23} via radiative mu-tau symmetry
breaking
|
12 pages, 3 tables, 2 figures, minor changes, references updated,
accepted for publication in Phys. Rev. D
| null |
10.1103/PhysRevD.90.073005
| null |
hep-ph hep-ex
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We point out that the observed neutrino mixing pattern at low energies is
very likely to originate from the 3 times 3 lepton flavor mixing matrix U which
possesses the exact mu-tau permutation symmetry |U_{mu i}| = |U_{tau i}| (for
i=1,2,3) at a superhigh energy scale Lambda_{mu tau} \sim 10^{14} GeV. The
deviation of theta_{23} from 45^\circ and that of delta from 270^\circ in the
standard parametrization of U are therefore a natural consequence of small
mu-tau symmetry breaking via the renormalization-group equations (RGEs) running
from Lambda_{mu tau} down to the electroweak scale Lambda_{EW} \sim 10^2 GeV.
In fitting current experimental data we find that the RGE-corrected value of
theta_{23} is uniquely correlated with the neutrino mass ordering: theta_{23}
\simeq 42.4^\circ reported by Capozzi et al (or theta_{23} \simeq 48.9^\circ
reported by Forero et al) at Lambda_{EW} can arise from theta_{23} = 45^\circ
at Lambda_{mu tau} in the minimal supersymmetric standard model if the neutrino
mass ordering is inverted (or normal). Accordingly, the preliminary best-fit
results of delta at Lambda_{EW} can also evolve from delta = 270^\circ at
Lambda_{mu tau} no matter whether the massive neutrinos are Dirac or Majorana
particles.
|
[
{
"created": "Thu, 21 Aug 2014 13:53:32 GMT",
"version": "v1"
},
{
"created": "Wed, 1 Oct 2014 19:21:23 GMT",
"version": "v2"
}
] |
2015-06-22
|
[
[
"Luo",
"Shu",
""
],
[
"Xing",
"Zhi-zhong",
""
]
] |
We point out that the observed neutrino mixing pattern at low energies is very likely to originate from the 3 times 3 lepton flavor mixing matrix U which possesses the exact mu-tau permutation symmetry |U_{mu i}| = |U_{tau i}| (for i=1,2,3) at a superhigh energy scale Lambda_{mu tau} \sim 10^{14} GeV. The deviation of theta_{23} from 45^\circ and that of delta from 270^\circ in the standard parametrization of U are therefore a natural consequence of small mu-tau symmetry breaking via the renormalization-group equations (RGEs) running from Lambda_{mu tau} down to the electroweak scale Lambda_{EW} \sim 10^2 GeV. In fitting current experimental data we find that the RGE-corrected value of theta_{23} is uniquely correlated with the neutrino mass ordering: theta_{23} \simeq 42.4^\circ reported by Capozzi et al (or theta_{23} \simeq 48.9^\circ reported by Forero et al) at Lambda_{EW} can arise from theta_{23} = 45^\circ at Lambda_{mu tau} in the minimal supersymmetric standard model if the neutrino mass ordering is inverted (or normal). Accordingly, the preliminary best-fit results of delta at Lambda_{EW} can also evolve from delta = 270^\circ at Lambda_{mu tau} no matter whether the massive neutrinos are Dirac or Majorana particles.
|
1410.8482
|
Andrei Mironov
|
D.Galakhov, A.Mironov and A.Morozov
|
Wall Crossing Invariants: from quantum mechanics to knots
|
36 pages, prepared for a special issue of JETP dedicated to the 60th
birthday of Valery Rubakov
|
ZhETF, 147 (2015) 623-663 (JETP, 120 (2015) 623-663)
|
10.1134/S1063776115030206
|
FIAN/TD-14/14; ITEP/TH-28/14
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We offer a pedestrian level review of the wall-crossing invariants. The story
begins from the scattering theory in quantum mechanics where the spectrum
reshuffling can be related to permutations of S-matrices. In non-trivial
situations, starting from spin chains and matrix models, the S-matrices are
operator-valued and their algebra is described in terms of R- and mixing
(Racah) U-matrices. Then, the Kontsevich-Soibelman invariants are nothing but
the standard knot invariants made out of these data within the
Reshetikhin-Turaev-Witten approach. The R- and Racah matrices acquire a
relatively universal form in the quasiclassical limit, where the basic
reshufflings with the change of moduli are those of the Stokes line. Natural
from this point of view are matrices provided by the modular transformations of
conformal blocks (with the usual identification R=T and U=S), and in the
simplest case of the first degenerate field (2,1), when the conformal blocks
satisfy a second order Shroedinger-like equation, the invariants coincide with
the Jones (N=2) invariants of the associated knots. Another possibility to
construct knot invariants is to realize the cluster coordinates associated with
reshufflings of the Stokes lines immediately in terms of check-operators acting
on the solutions to the Knizhnik-Zamolodchikov equations. Then, the R-matrices
are realized as products of successive mutations in the cluster algebra and are
manifestly described in terms of quantum dilogarithms ultimately leading to the
Hikami construction of knot invariants.
|
[
{
"created": "Thu, 30 Oct 2014 18:23:01 GMT",
"version": "v1"
}
] |
2015-06-23
|
[
[
"Galakhov",
"D.",
""
],
[
"Mironov",
"A.",
""
],
[
"Morozov",
"A.",
""
]
] |
We offer a pedestrian level review of the wall-crossing invariants. The story begins from the scattering theory in quantum mechanics where the spectrum reshuffling can be related to permutations of S-matrices. In non-trivial situations, starting from spin chains and matrix models, the S-matrices are operator-valued and their algebra is described in terms of R- and mixing (Racah) U-matrices. Then, the Kontsevich-Soibelman invariants are nothing but the standard knot invariants made out of these data within the Reshetikhin-Turaev-Witten approach. The R- and Racah matrices acquire a relatively universal form in the quasiclassical limit, where the basic reshufflings with the change of moduli are those of the Stokes line. Natural from this point of view are matrices provided by the modular transformations of conformal blocks (with the usual identification R=T and U=S), and in the simplest case of the first degenerate field (2,1), when the conformal blocks satisfy a second order Shroedinger-like equation, the invariants coincide with the Jones (N=2) invariants of the associated knots. Another possibility to construct knot invariants is to realize the cluster coordinates associated with reshufflings of the Stokes lines immediately in terms of check-operators acting on the solutions to the Knizhnik-Zamolodchikov equations. Then, the R-matrices are realized as products of successive mutations in the cluster algebra and are manifestly described in terms of quantum dilogarithms ultimately leading to the Hikami construction of knot invariants.
|
hep-th/0512289
|
J. R. S. Nascimento
|
M. A. Anacleto, J. R. Nascimento, A. Yu. Petrov
|
Aharonov-Bohm Effect on Noncommutative Plane: A Coherent State Approach
|
14 pages, 4 figures, minor corrections
|
Phys.Lett.B637:344-349,2006
|
10.1016/j.physletb.2006.04.053
| null |
hep-th
| null |
We apply the coherent state approach to study Aharonov-Bohm effect in the
field theory context. We verify that, contrarily to the commutative result, the
scattering amplitude is ultraviolet finite. However, we have logarithmic
singularities as the noncommutative parameter tends to zero. Thus, the
inclusion of a quartic self-interaction for the scalar field is necessary to
obtain a smooth commutative limit.
|
[
{
"created": "Thu, 22 Dec 2005 17:18:26 GMT",
"version": "v1"
},
{
"created": "Tue, 24 Jan 2006 18:52:30 GMT",
"version": "v2"
},
{
"created": "Thu, 4 May 2006 14:02:36 GMT",
"version": "v3"
}
] |
2008-11-26
|
[
[
"Anacleto",
"M. A.",
""
],
[
"Nascimento",
"J. R.",
""
],
[
"Petrov",
"A. Yu.",
""
]
] |
We apply the coherent state approach to study Aharonov-Bohm effect in the field theory context. We verify that, contrarily to the commutative result, the scattering amplitude is ultraviolet finite. However, we have logarithmic singularities as the noncommutative parameter tends to zero. Thus, the inclusion of a quartic self-interaction for the scalar field is necessary to obtain a smooth commutative limit.
|
1008.0334
|
Luca Fabbri
|
Luca Fabbri
|
Zero Energy of Plane-Waves for ELKOs
|
7 pages
|
Gen.Rel.Grav.43:1607-1613,2011
|
10.1007/s10714-011-1143-4
| null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the ELKO field in interaction through contorsion with its own
spin density, and we investigate the form of the consequent autointeractions;
to do so we take into account the high-density limit and find plane wave
solutions: such plane waves give rise to contorsional autointeractions for
which the Ricci metric curvature vanishes and therefore the energy density is
equal to zero identically. Consequences are discussed.
|
[
{
"created": "Mon, 2 Aug 2010 16:24:50 GMT",
"version": "v1"
},
{
"created": "Wed, 23 Feb 2011 13:24:07 GMT",
"version": "v2"
}
] |
2011-05-10
|
[
[
"Fabbri",
"Luca",
""
]
] |
We consider the ELKO field in interaction through contorsion with its own spin density, and we investigate the form of the consequent autointeractions; to do so we take into account the high-density limit and find plane wave solutions: such plane waves give rise to contorsional autointeractions for which the Ricci metric curvature vanishes and therefore the energy density is equal to zero identically. Consequences are discussed.
|
1611.01289
|
J. W. van Holten
|
J.W. van Holten
|
Dynamical Space-Time and Gravitational Waves
|
Contribution to Proceedings 8th Aegean Summerschool, Crete (GR),
2015; 21 pages, 4 figures
| null | null | null |
gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
According to General Relativity gravity is the result of the interaction
between matter and space-time geometry. In this interaction space-time geometry
itself is dynamical: it can store and transport energy and momentum in the form
of gravitational waves. We give an introductory account of this phenomenon and
discuss how the observation of gravitational waves may open up a fundamentally
new window on the universe.
|
[
{
"created": "Fri, 4 Nov 2016 09:01:01 GMT",
"version": "v1"
}
] |
2016-11-07
|
[
[
"van Holten",
"J. W.",
""
]
] |
According to General Relativity gravity is the result of the interaction between matter and space-time geometry. In this interaction space-time geometry itself is dynamical: it can store and transport energy and momentum in the form of gravitational waves. We give an introductory account of this phenomenon and discuss how the observation of gravitational waves may open up a fundamentally new window on the universe.
|
2006.02319
|
Aroonkumar Beesham
|
Aroonkumar Beesham
|
Quantum spectrum of tachyonic black holes in a brane-anti-brane system
|
8 pages, 1 figure
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recently, some authors have considered the quantum spectrum of black holes .
This consideration is extended to tachyonic black holes in a brane-anti-brane
system. In this study, black holes are constructed from two branes which are
connected by a tachyonic tube. As the branes come closer to each other, they
evolve and make a transition to thermal black branes. It will be shown that the
spectrum of these black holes depends on the tachonic potential and the
separation distance between the branes. By decreasing the separation distance,
more energy emerges and the spectrum of the black hole increases.
|
[
{
"created": "Wed, 3 Jun 2020 15:06:38 GMT",
"version": "v1"
}
] |
2020-06-04
|
[
[
"Beesham",
"Aroonkumar",
""
]
] |
Recently, some authors have considered the quantum spectrum of black holes . This consideration is extended to tachyonic black holes in a brane-anti-brane system. In this study, black holes are constructed from two branes which are connected by a tachyonic tube. As the branes come closer to each other, they evolve and make a transition to thermal black branes. It will be shown that the spectrum of these black holes depends on the tachonic potential and the separation distance between the branes. By decreasing the separation distance, more energy emerges and the spectrum of the black hole increases.
|
hep-th/9405018
|
S. Pakuliak
|
S. Pakuliak and A. Perelomov
|
Relation Between Hyperelliptic Integrals
|
DFTUZ/94/07, LaTeX, 8 p. (misprints are corrected and two refferences
on the related papers are added)
|
Mod.Phys.Lett. A9 (1994) 1791-1798
|
10.1142/S0217732394001647
| null |
hep-th
| null |
A simple property of the integrals over the hyperelliptic surfaces of
arbitrary genus is observed. Namely, the derivatives of these integrals with
respect to the branching points are given by the linear combination of the same
integrals. We check that this property is responsible for the solution to the
level zero Knizhnik-Zamolodchikov equation given in terms of hyperelliptic
integrals.
|
[
{
"created": "Tue, 3 May 1994 19:59:46 GMT",
"version": "v1"
},
{
"created": "Fri, 20 May 1994 12:43:19 GMT",
"version": "v2"
}
] |
2009-10-28
|
[
[
"Pakuliak",
"S.",
""
],
[
"Perelomov",
"A.",
""
]
] |
A simple property of the integrals over the hyperelliptic surfaces of arbitrary genus is observed. Namely, the derivatives of these integrals with respect to the branching points are given by the linear combination of the same integrals. We check that this property is responsible for the solution to the level zero Knizhnik-Zamolodchikov equation given in terms of hyperelliptic integrals.
|
hep-th/0203135
|
Benjamin Doyon
|
B. Doyon, S. Lukyanov
|
Fermion Schwinger's function for the SU(2)-Thirring model
|
27 pages, harvmac.tex, references added, typos corrected
|
Nucl.Phys. B644 (2002) 451-475
|
10.1016/S0550-3213(02)00795-2
|
RUNHETC-2002-7
|
hep-th cond-mat
| null |
We study the Euclidean two-point function of Fermi fields in the
SU(2)-Thirring model on the whole distance (energy) scale. We perform
perturbative and renormalization group analyses to obtain the short-distance
asymptotics, and numerically evaluate the long-distance behavior by using the
form factor expansion. Our results illustrate the use of bosonization and
conformal perturbation theory in the renormalization group analysis of a
fermionic theory, and numerically confirm the validity of the form factor
expansion in the case of the SU(2)-Thirring model.
|
[
{
"created": "Thu, 14 Mar 2002 18:18:21 GMT",
"version": "v1"
},
{
"created": "Wed, 15 May 2002 17:25:41 GMT",
"version": "v2"
}
] |
2009-11-07
|
[
[
"Doyon",
"B.",
""
],
[
"Lukyanov",
"S.",
""
]
] |
We study the Euclidean two-point function of Fermi fields in the SU(2)-Thirring model on the whole distance (energy) scale. We perform perturbative and renormalization group analyses to obtain the short-distance asymptotics, and numerically evaluate the long-distance behavior by using the form factor expansion. Our results illustrate the use of bosonization and conformal perturbation theory in the renormalization group analysis of a fermionic theory, and numerically confirm the validity of the form factor expansion in the case of the SU(2)-Thirring model.
|
2212.09259
|
Leonardo de la Cruz
|
Francesco Comberiati, Leonardo de la Cruz
|
Classical off-shell currents
|
28 pages, v2: clarifications in Sec.2, references added, typos fixed,
matches published version
| null |
10.1007/JHEP03(2023)068
| null |
hep-th gr-qc
|
http://creativecommons.org/licenses/by/4.0/
|
We consider tree-level off-shell currents of two massive particles and $n$
massless bosons in the classical limit, which can be fused into the classical
limit of $n+2$ scattering amplitudes. We show that dressing up the current with
coherent wave-functions associated with the massive particles leads to the
recently proposed Worldline Quantum Field Theory (WQFT) path integral. The
currents thus constructed encode solutions of classical equations of motion so
they can be applied to contexts where the classical limit is relevant,
including hard thermal loops. We give several examples of these currents in
scalar, gauge and gravitational theories.
|
[
{
"created": "Mon, 19 Dec 2022 06:06:28 GMT",
"version": "v1"
},
{
"created": "Mon, 13 Mar 2023 21:27:57 GMT",
"version": "v2"
}
] |
2023-03-29
|
[
[
"Comberiati",
"Francesco",
""
],
[
"de la Cruz",
"Leonardo",
""
]
] |
We consider tree-level off-shell currents of two massive particles and $n$ massless bosons in the classical limit, which can be fused into the classical limit of $n+2$ scattering amplitudes. We show that dressing up the current with coherent wave-functions associated with the massive particles leads to the recently proposed Worldline Quantum Field Theory (WQFT) path integral. The currents thus constructed encode solutions of classical equations of motion so they can be applied to contexts where the classical limit is relevant, including hard thermal loops. We give several examples of these currents in scalar, gauge and gravitational theories.
|
2010.13794
|
Ofri Telem
|
Csaba Cs\'aki, Sungwoo Hong, Yuri Shirman, Ofri Telem, and John
Terning
|
Multi-particle Representations of the Poincar\'e Group
| null |
Phys. Rev. Lett. 127, 041601 (2021)
|
10.1103/PhysRevLett.127.041601
| null |
hep-th hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work we extend the definition of asymptotic multi-particle states of
the $S$-matrix, beyond the direct products of one-particle states. We identify
new quantum numbers which we call pairwise helicities, or $q_{ij}$, associated
with asymptotically separated pairs of particles. These signal the appearance
of a new source of angular momentum, beyond the orbital and spin contributions.
The essence of our construction is to first treat all single particles as well
as all particle pairs independently, ultimately projecting onto the physical
states. The resulting representations reproduce the usual direct product states
for vanishing $q_{ij}$, while for vanishing spins they reproduce Zwanziger's
electric-magnetic multi-particle states. Pairwise helicity then appears as a
label for the extra little group phase for our quantum states, in addition to
their standard little group transformation. Our newly defined multi-particle
states are the correct asymptotic states for the scattering of electric and
magnetic charges, with pairwise helicity identified as $q_{ij}=e_i g_j-e_j
g_i$.
|
[
{
"created": "Mon, 26 Oct 2020 18:00:01 GMT",
"version": "v1"
},
{
"created": "Sun, 25 Jul 2021 17:16:03 GMT",
"version": "v2"
}
] |
2021-07-28
|
[
[
"Csáki",
"Csaba",
""
],
[
"Hong",
"Sungwoo",
""
],
[
"Shirman",
"Yuri",
""
],
[
"Telem",
"Ofri",
""
],
[
"Terning",
"John",
""
]
] |
In this work we extend the definition of asymptotic multi-particle states of the $S$-matrix, beyond the direct products of one-particle states. We identify new quantum numbers which we call pairwise helicities, or $q_{ij}$, associated with asymptotically separated pairs of particles. These signal the appearance of a new source of angular momentum, beyond the orbital and spin contributions. The essence of our construction is to first treat all single particles as well as all particle pairs independently, ultimately projecting onto the physical states. The resulting representations reproduce the usual direct product states for vanishing $q_{ij}$, while for vanishing spins they reproduce Zwanziger's electric-magnetic multi-particle states. Pairwise helicity then appears as a label for the extra little group phase for our quantum states, in addition to their standard little group transformation. Our newly defined multi-particle states are the correct asymptotic states for the scattering of electric and magnetic charges, with pairwise helicity identified as $q_{ij}=e_i g_j-e_j g_i$.
|
1402.5320
|
Ahmed Farag Ali
|
Ahmed Farag Ali
|
Black Hole Remnant from Gravity's Rainbow
|
6 pages, REVTeX 4, 4 figures, to appear in Phys. Rev. D. arXiv admin
note: text overlap with arXiv:1308.4343
|
Phys.Rev. D89 (2014) 104040
|
10.1103/PhysRevD.89.104040
| null |
hep-th gr-qc
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In this work, we investigate black hole (BH) physics in the context of
gravity rainbow. We investigate this through rainbow functions that have been
proposed by Amelino-Camelia, et el. in [arXiv:0806.0339, hep-th/9605211]. This
modification will give corrections to both the temperature and the entropy of
BH and hence it changes the picture of Hawking radiation greatly when the size
of BH approaches the Planck scale. It prevents BH from total evaporation,
predicting the existence of BH remnant which may resolve the catastrophic
behavior of Hawking radiation as the BH mass approaches zero.
|
[
{
"created": "Fri, 21 Feb 2014 15:08:34 GMT",
"version": "v1"
},
{
"created": "Mon, 12 May 2014 22:46:07 GMT",
"version": "v2"
}
] |
2014-05-26
|
[
[
"Ali",
"Ahmed Farag",
""
]
] |
In this work, we investigate black hole (BH) physics in the context of gravity rainbow. We investigate this through rainbow functions that have been proposed by Amelino-Camelia, et el. in [arXiv:0806.0339, hep-th/9605211]. This modification will give corrections to both the temperature and the entropy of BH and hence it changes the picture of Hawking radiation greatly when the size of BH approaches the Planck scale. It prevents BH from total evaporation, predicting the existence of BH remnant which may resolve the catastrophic behavior of Hawking radiation as the BH mass approaches zero.
|
0707.3632
|
Paschalis Karageorgis
|
Paschalis Karageorgis and John G. Stalker
|
Sharp bounds on 2m/r for static spherical objects
|
We changed a footnote in which an earlier result of H\aa{}kan
Andr\'{e}asson was not described correctly
|
Class.Quant.Grav.25:195021,2008
|
10.1088/0264-9381/25/19/195021
| null |
gr-qc
| null |
Sharp bounds are obtained, under a variety of assumptions on the eigenvalues
of the Einstein tensor, for the ratio of the Hawking mass to the areal radius
in static, spherically symmetric space-times.
|
[
{
"created": "Tue, 24 Jul 2007 20:48:53 GMT",
"version": "v1"
},
{
"created": "Mon, 8 Oct 2007 17:26:48 GMT",
"version": "v2"
}
] |
2008-11-26
|
[
[
"Karageorgis",
"Paschalis",
""
],
[
"Stalker",
"John G.",
""
]
] |
Sharp bounds are obtained, under a variety of assumptions on the eigenvalues of the Einstein tensor, for the ratio of the Hawking mass to the areal radius in static, spherically symmetric space-times.
|
0910.2756
|
Daniele Colosi
|
Daniele Colosi
|
S-matrix in de Sitter spacetime from general boundary quantum field
theory
|
4 pages, LaTeX + revtex4
| null | null | null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A new quantization scheme for a massive scalar field in de Sitter spacetime
is proposed, based on the general boundary formulation of quantum field theory.
We show that the general interacting theory can be consistently described in
terms of the S-matrix for spatial asymptotic states. The new S-matrix results
to be equivalent to the standard one in situations where both apply. This is
due to the existence of an isomorphism between the corresponding asymptotic
state spaces.
|
[
{
"created": "Thu, 15 Oct 2009 00:55:50 GMT",
"version": "v1"
}
] |
2009-10-16
|
[
[
"Colosi",
"Daniele",
""
]
] |
A new quantization scheme for a massive scalar field in de Sitter spacetime is proposed, based on the general boundary formulation of quantum field theory. We show that the general interacting theory can be consistently described in terms of the S-matrix for spatial asymptotic states. The new S-matrix results to be equivalent to the standard one in situations where both apply. This is due to the existence of an isomorphism between the corresponding asymptotic state spaces.
|
1907.01618
|
Suzanne Klaver
|
Suzanne Klaver
|
Impacts of radiative corrections on measurements of lepton flavour
universality in $B \to D \ell \nu_{\ell}$ decays
|
4 pages, 11 figures, proceedings of the 2019 Conference on Flavor
Physics and CP Violation (FPCP2019), based on the work in arXiv:1905.02702
| null | null | null |
hep-ph hep-ex
|
http://creativecommons.org/licenses/by/4.0/
|
Radiative corrections to $B \to D \ell \nu_{\ell}$ decays can have an impact
on predictions and measurements of the lepton universality ratios
$\mathcal{R}(D^+)$ and $\mathcal{R}(D^0)$. These proceedings summarise a study
on the comparison between recent calculations of soft-photon corrections on
these ratios and the corrections simulated by the PHOTOS package. Also the
impact of Coulomb interactions, not simulated in PHOTOS, is discussed. Using
pseudo-experiments, the effect of high-energy photon emission is studied in an
LHCb-like environment, showing a bias of up to 7\% on measurements of
$\mathcal{R}(D)$.
|
[
{
"created": "Tue, 2 Jul 2019 20:14:22 GMT",
"version": "v1"
}
] |
2019-07-04
|
[
[
"Klaver",
"Suzanne",
""
]
] |
Radiative corrections to $B \to D \ell \nu_{\ell}$ decays can have an impact on predictions and measurements of the lepton universality ratios $\mathcal{R}(D^+)$ and $\mathcal{R}(D^0)$. These proceedings summarise a study on the comparison between recent calculations of soft-photon corrections on these ratios and the corrections simulated by the PHOTOS package. Also the impact of Coulomb interactions, not simulated in PHOTOS, is discussed. Using pseudo-experiments, the effect of high-energy photon emission is studied in an LHCb-like environment, showing a bias of up to 7\% on measurements of $\mathcal{R}(D)$.
|
0902.4347
|
Jambul Gegelia
|
D. Djukanovic, J. Gegelia, A. Keller, S. Scherer
|
Complex-mass renormalization in chiral effective field theory
|
7 pages, 1 fugure, REVTeX 4
|
Phys.Lett.B680:235-238,2009
|
10.1016/j.physletb.2009.08.068
| null |
hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider a low-energy effective field theory of vector mesons and
Goldstone bosons using the complex-mass renormalization. As an application we
calculate the mass and the width of the $\rho$ meson.
|
[
{
"created": "Wed, 25 Feb 2009 11:33:59 GMT",
"version": "v1"
}
] |
2014-11-18
|
[
[
"Djukanovic",
"D.",
""
],
[
"Gegelia",
"J.",
""
],
[
"Keller",
"A.",
""
],
[
"Scherer",
"S.",
""
]
] |
We consider a low-energy effective field theory of vector mesons and Goldstone bosons using the complex-mass renormalization. As an application we calculate the mass and the width of the $\rho$ meson.
|
2309.14543
|
Ali Eghbali
|
Ali Eghbali, Meysam Hosseinpour-Sadid, Adel Rezaei-Aghdam
|
T-duality/plurality of BTZ black hole metric coupled to two fermionic
fields
|
36 pages, 7 tables
|
J. High Energ. Phys. 03 (2024) 040
|
10.1007/JHEP03(2024)040
| null |
hep-th
|
http://creativecommons.org/licenses/by/4.0/
|
We ask the question of classical super (non-)Abelian T-duality for BTZ black
hole metric coupling to two fermionic fields. Our approach is based on super
Poisson-Lie (PL) T-duality in the presence of spectator fields. In order to
study the Abelian T-duality of the metric we dualize over the Abelian Lie
supergroups of the types $(1|2)$ and $(2|2)$, in such a way that it is shown
that both original and dual backgrounds of the models are conformally invariant
up to one-loop order in the presence of field strength. Then, we study the
non-Abelian T-duality of the BTZ vacuum metric coupling to two fermionic
fields. The dualizing is performed on some non-Abelian Lie supergroups of the
type $(2|2)$, in such a way that we are dealing with semi-Abelian superdoubles
which are non-isomorphic as Lie superalgebras in each of the models. In the
non-Abelian T-duality case, it is interesting to mention that the models can be
conformally invariant up to one-loop order in both cases of the absence and
presence of field strength. In addition, starting from the decomposition of
semi-Abelian Drinfeld superdoubles generated by some of the ${\cal C}^3 \oplus
{\cal A}_{1,1}$ Lie superbialgebras we study the super PL T-plurality of the
BTZ vacuum metric coupled to two fermionic fields. However, our findings are
interesting in themselves, but at a constructive level, can prompt many new
insights into supergravity and manifestly have interesting mathematical
relationships with double field theory.
|
[
{
"created": "Mon, 25 Sep 2023 21:37:45 GMT",
"version": "v1"
},
{
"created": "Fri, 8 Mar 2024 12:40:00 GMT",
"version": "v2"
}
] |
2024-03-11
|
[
[
"Eghbali",
"Ali",
""
],
[
"Hosseinpour-Sadid",
"Meysam",
""
],
[
"Rezaei-Aghdam",
"Adel",
""
]
] |
We ask the question of classical super (non-)Abelian T-duality for BTZ black hole metric coupling to two fermionic fields. Our approach is based on super Poisson-Lie (PL) T-duality in the presence of spectator fields. In order to study the Abelian T-duality of the metric we dualize over the Abelian Lie supergroups of the types $(1|2)$ and $(2|2)$, in such a way that it is shown that both original and dual backgrounds of the models are conformally invariant up to one-loop order in the presence of field strength. Then, we study the non-Abelian T-duality of the BTZ vacuum metric coupling to two fermionic fields. The dualizing is performed on some non-Abelian Lie supergroups of the type $(2|2)$, in such a way that we are dealing with semi-Abelian superdoubles which are non-isomorphic as Lie superalgebras in each of the models. In the non-Abelian T-duality case, it is interesting to mention that the models can be conformally invariant up to one-loop order in both cases of the absence and presence of field strength. In addition, starting from the decomposition of semi-Abelian Drinfeld superdoubles generated by some of the ${\cal C}^3 \oplus {\cal A}_{1,1}$ Lie superbialgebras we study the super PL T-plurality of the BTZ vacuum metric coupled to two fermionic fields. However, our findings are interesting in themselves, but at a constructive level, can prompt many new insights into supergravity and manifestly have interesting mathematical relationships with double field theory.
|
hep-th/0110011
|
Burinskii A. Ya.
|
Alexander Burinskii
|
Supersymmetric Bag Model as a Development of the Witten Superconducting
String
|
8 pages, Latex, v.2, some misprints improved, minor corrections, talk
given at the SUSY'01 conference (Dubna, June 11-17, 2001) and at the IX
Workshop on High Energy Spin Physics, SPIN-01 (Dubna, August 2-7, 2001)
| null |
10.1142/9789812778192_0076
| null |
hep-th gr-qc hep-ph
| null |
We consider particlelike solutions to supergravity based on the Kerr-Newman
BH solution. The BH singularity is regularized by means of a phase transition
to a new superconducting vacuum state near the core region. We show that this
phase transition can be controlled by gravity in spite of the extreme smallness
of the local gravitational field.
Supersymmetric BPS domain wall model is suggested which can provide this
phase transition and formation the stable charged (dual) superconducting core.
|
[
{
"created": "Mon, 1 Oct 2001 14:45:05 GMT",
"version": "v1"
},
{
"created": "Tue, 27 Nov 2001 14:45:38 GMT",
"version": "v2"
}
] |
2017-08-23
|
[
[
"Burinskii",
"Alexander",
""
]
] |
We consider particlelike solutions to supergravity based on the Kerr-Newman BH solution. The BH singularity is regularized by means of a phase transition to a new superconducting vacuum state near the core region. We show that this phase transition can be controlled by gravity in spite of the extreme smallness of the local gravitational field. Supersymmetric BPS domain wall model is suggested which can provide this phase transition and formation the stable charged (dual) superconducting core.
|
hep-th/9807224
|
Andrei Johansen
|
A. Johansen
|
Positivity Constraints on Anomalies and Supersymmetry
|
8 pages, uses sprocl.sty, talk given at PASCOS-98
| null | null | null |
hep-th
| null |
The relation between the trace and R-current anomalies in 4D supersymmetric
theories implies that the U(1)$_R$F$^2$, U(1)$_R$ and U(1)$^3_R$ anomalies
which matched in studies of N=1 Seiberg duality satisfy positivity constraints.
These constraints are tested in a large number of N=1 supersymmetric gauge
theories in the non-Abelian Coulomb phase, and they are satisfied in all
renormalizable models with unique anomaly-free R-current, including those with
accidental symmetry. Most striking is the fact that the flow of the Euler
anomaly coefficient, $a_{UV}-a_{IR}$, is always positive, as conjectured by
Cardy.
|
[
{
"created": "Wed, 29 Jul 1998 21:25:57 GMT",
"version": "v1"
}
] |
2007-05-23
|
[
[
"Johansen",
"A.",
""
]
] |
The relation between the trace and R-current anomalies in 4D supersymmetric theories implies that the U(1)$_R$F$^2$, U(1)$_R$ and U(1)$^3_R$ anomalies which matched in studies of N=1 Seiberg duality satisfy positivity constraints. These constraints are tested in a large number of N=1 supersymmetric gauge theories in the non-Abelian Coulomb phase, and they are satisfied in all renormalizable models with unique anomaly-free R-current, including those with accidental symmetry. Most striking is the fact that the flow of the Euler anomaly coefficient, $a_{UV}-a_{IR}$, is always positive, as conjectured by Cardy.
|
hep-th/0503192
|
Radu Roiban
|
S.A. Frolov, R. Roiban, A.A. Tseytlin
|
Gauge-string duality for superconformal deformations of N=4 Super
Yang-Mills theory
|
50 pages, Latex; v2:typos corrected, references added, clarifications
in sec 8 and Appendix A, a discussion of a rational solution added in section
4.2; v3: minor corrections to coefficients in eq. 2.5, 5.2 and appendix A;
v4: minor misprints corrected
|
JHEP 0507:045,2005
|
10.1088/1126-6708/2005/07/045
| null |
hep-th
| null |
We analyze in detail the relation between an exactly marginal deformation of
N=4 SYM - the Leigh-Strassler or ``beta-deformation'' - and its string theory
dual (recently constructed in hep-th/0502086) by comparing energies of
semiclassical strings to anomalous dimensions of gauge-theory operators in the
two-scalar sector. We stress the existence of integrable structures on the two
sides of the duality. In particular, we argue that the integrability of strings
in AdS_5 x S^5 implies the integrability of the deformed world sheet theory
with real deformation parameter. We compare the fast string limit of the
worldsheet action in the sector with two angular momenta with the continuum
limit of the coherent state action of an anisotropic XXZ spin chain describing
the one-loop anomalous dimensions of the corresponding operators and find a
remarkable agreement for all values of the deformation parameter. We discuss
some of the properties of the Bethe Ansatz for this spin chain, solve the Bethe
equations for small number of excitations and comment on higher loop properties
of the dilatation operator. With the goal of going beyond the leading order in
the 't Hooft expansion we derive the analog of the Bethe equations on the
string-theory side, and show that they coincide with the thermodynamic limit of
the Bethe equations for the spin chain. We also compute the 1/J corrections to
the anomalous dimensions of operators with large R-charge (corresponding to
strings with angular momentum J) and match them to the 1-loop corrections to
the fast string energies. Our results suggest that the impressive agreement
between the gauge theory and semiclassical strings in AdS_5 x S^5 is part of a
larger picture underlying the gauge/gravity duality.
|
[
{
"created": "Thu, 24 Mar 2005 18:51:42 GMT",
"version": "v1"
},
{
"created": "Tue, 29 Mar 2005 19:51:08 GMT",
"version": "v2"
},
{
"created": "Wed, 11 May 2005 00:23:31 GMT",
"version": "v3"
},
{
"created": "Mon, 22 Aug 2005 14:36:06 GMT",
"version": "v4"
}
] |
2010-04-06
|
[
[
"Frolov",
"S. A.",
""
],
[
"Roiban",
"R.",
""
],
[
"Tseytlin",
"A. A.",
""
]
] |
We analyze in detail the relation between an exactly marginal deformation of N=4 SYM - the Leigh-Strassler or ``beta-deformation'' - and its string theory dual (recently constructed in hep-th/0502086) by comparing energies of semiclassical strings to anomalous dimensions of gauge-theory operators in the two-scalar sector. We stress the existence of integrable structures on the two sides of the duality. In particular, we argue that the integrability of strings in AdS_5 x S^5 implies the integrability of the deformed world sheet theory with real deformation parameter. We compare the fast string limit of the worldsheet action in the sector with two angular momenta with the continuum limit of the coherent state action of an anisotropic XXZ spin chain describing the one-loop anomalous dimensions of the corresponding operators and find a remarkable agreement for all values of the deformation parameter. We discuss some of the properties of the Bethe Ansatz for this spin chain, solve the Bethe equations for small number of excitations and comment on higher loop properties of the dilatation operator. With the goal of going beyond the leading order in the 't Hooft expansion we derive the analog of the Bethe equations on the string-theory side, and show that they coincide with the thermodynamic limit of the Bethe equations for the spin chain. We also compute the 1/J corrections to the anomalous dimensions of operators with large R-charge (corresponding to strings with angular momentum J) and match them to the 1-loop corrections to the fast string energies. Our results suggest that the impressive agreement between the gauge theory and semiclassical strings in AdS_5 x S^5 is part of a larger picture underlying the gauge/gravity duality.
|
0811.4594
|
Christoph Sieg
|
Francesco Fiamberti, Alberto Santambrogio, Christoph Sieg, Daniela
Zanon
|
Single impurity operators at critical wrapping order in the
beta-deformed N=4 SYM
|
LaTeX, feynmf, Metapost, 20 pages, 11 figures, v2: results up to 11
loops completed, appendix on integral calculation extended
|
JHEP 0908:034,2009
|
10.1088/1126-6708/2009/08/034
|
IFUM-934-FT
|
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We study the spectrum of one single magnon in the superconformal
beta-deformed N=4 SYM theory in the planar limit. We compute the anomalous
dimensions of one-impurity operators O_{1,L}= tr(phi Z^{L-1}), including
wrapping contributions at their critical order L.
|
[
{
"created": "Thu, 27 Nov 2008 17:16:03 GMT",
"version": "v1"
},
{
"created": "Sun, 17 May 2009 14:06:29 GMT",
"version": "v2"
}
] |
2009-08-12
|
[
[
"Fiamberti",
"Francesco",
""
],
[
"Santambrogio",
"Alberto",
""
],
[
"Sieg",
"Christoph",
""
],
[
"Zanon",
"Daniela",
""
]
] |
We study the spectrum of one single magnon in the superconformal beta-deformed N=4 SYM theory in the planar limit. We compute the anomalous dimensions of one-impurity operators O_{1,L}= tr(phi Z^{L-1}), including wrapping contributions at their critical order L.
|
hep-ph/9607263
|
Peter Rehberg
|
P. Rehberg, S. P. Klevansky and J. H\"ufner
|
Elastic Scattering and Transport Coefficients for a Quark Plasma in
$SU_f(3)$ at Finite Temperatures
|
35 pages ReVTeX, 18 PostScript figures, uufiles format, to appear in
Nucl. Phys. A
|
Nucl.Phys.A608:356-388,1996
|
10.1016/0375-9474(96)00247-3
|
HD-TVP-96-04
|
hep-ph
| null |
The temperature dependence of the elastic scattering processes $qq'\to qq'$
and $q\bar q'\to q\bar q'$, with $q, q' = u, d, s$ is studied as a function of
the scattering angle and the center of mass energy of the collision within the
framework of the $SU_f(3)$ Nambu--Jona--Lasinio model. Critical scattering at
threshold is observed in the $q\bar q'\to q\bar q'$ process, leading to an
enhancement of the cross section as occurs in the phenomenon of critical
opalescence. Transport properties such as viscosity, mean free paths and
thermal relaxation times are calculated. Strangeness enhancement is
investigated via the chemical relaxation times, which are found to be
considerably higher than those calculated via perturbative QCD. A comparison
with the experimental values for the strangeness enhancement in $S+S$
collisions leads to an upper limit of 4~fm/$c$ for the lifetime of the plasma.
|
[
{
"created": "Tue, 9 Jul 1996 15:49:02 GMT",
"version": "v1"
}
] |
2011-02-01
|
[
[
"Rehberg",
"P.",
""
],
[
"Klevansky",
"S. P.",
""
],
[
"Hüfner",
"J.",
""
]
] |
The temperature dependence of the elastic scattering processes $qq'\to qq'$ and $q\bar q'\to q\bar q'$, with $q, q' = u, d, s$ is studied as a function of the scattering angle and the center of mass energy of the collision within the framework of the $SU_f(3)$ Nambu--Jona--Lasinio model. Critical scattering at threshold is observed in the $q\bar q'\to q\bar q'$ process, leading to an enhancement of the cross section as occurs in the phenomenon of critical opalescence. Transport properties such as viscosity, mean free paths and thermal relaxation times are calculated. Strangeness enhancement is investigated via the chemical relaxation times, which are found to be considerably higher than those calculated via perturbative QCD. A comparison with the experimental values for the strangeness enhancement in $S+S$ collisions leads to an upper limit of 4~fm/$c$ for the lifetime of the plasma.
|
hep-ph/0604015
|
David A. Kosower
|
David A. Kosower
|
QCD at the Dawn of the LHC Era
|
Plenary talk given at PANIC '05, Santa Fe, New Mexico, Oct 24-28,
2005
| null |
10.1063/1.2220226
|
SPhT-T06/031
|
hep-ph
| null |
Precision computations of QCD and QCD+electroweak emission scattering
processes will play an important role in understanding experimental data from
the LHC, and thereby in uncovering new physics beyond the Standard Model.
Recent years have seen substantial progress in expanding our ability to perform
and implement such calculations. I discuss several different topics: the
resolution of seeming discrepancies between heavy-quark predictions and
measurements; the ongoing program of next-to-next-to-leading order
calculations; and also progress in merging the parton-shower and matrix-element
calculations. I will also outline some of the techniques emerging from
twistor-space string theory and its intellectual progeny.
|
[
{
"created": "Mon, 3 Apr 2006 13:24:18 GMT",
"version": "v1"
}
] |
2009-11-11
|
[
[
"Kosower",
"David A.",
""
]
] |
Precision computations of QCD and QCD+electroweak emission scattering processes will play an important role in understanding experimental data from the LHC, and thereby in uncovering new physics beyond the Standard Model. Recent years have seen substantial progress in expanding our ability to perform and implement such calculations. I discuss several different topics: the resolution of seeming discrepancies between heavy-quark predictions and measurements; the ongoing program of next-to-next-to-leading order calculations; and also progress in merging the parton-shower and matrix-element calculations. I will also outline some of the techniques emerging from twistor-space string theory and its intellectual progeny.
|
2111.11751
|
Elena Lanina
|
E. Lanina, A. Sleptsov, and N. Tselousov
|
Implications for colored HOMFLY polynomials from explicit formulas for
group-theoretical structure
|
24 pages
|
Nuclear Physics B 974 (2022) 115644
|
10.1016/j.nuclphysb.2021.115644
| null |
hep-th math-ph math.GT math.MP math.RT
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We have recently proposed arXiv:2105.11565 a powerful method for computing
group factors of the perturbative series expansion of the Wilson loop in the
Chern-Simons theory with $SU(N)$ gauge group. In this paper, we apply the
developed method to obtain and study various properties, including
nonperturbative ones, of such vacuum expectation values.
First, we discuss the computation of Vassiliev invariants. Second, we discuss
the Vogel theorem of not distinguishing chord diagrams by weight systems coming
from semisimple Lie (super)algebras. Third, we provide a method for
constructing linear recursive relations for the colored Jones polynomials
considering a special case of torus knots $T[2,2k+1]$. Fourth, we give a
generalization of the one-hook scaling property for the colored Alexander
polynomials. And finally, for the group factors we provide a combinatorial
description, which has a clear dependence on the rank $N$ and the
representation $R$.
|
[
{
"created": "Tue, 23 Nov 2021 09:54:26 GMT",
"version": "v1"
}
] |
2023-03-24
|
[
[
"Lanina",
"E.",
""
],
[
"Sleptsov",
"A.",
""
],
[
"Tselousov",
"N.",
""
]
] |
We have recently proposed arXiv:2105.11565 a powerful method for computing group factors of the perturbative series expansion of the Wilson loop in the Chern-Simons theory with $SU(N)$ gauge group. In this paper, we apply the developed method to obtain and study various properties, including nonperturbative ones, of such vacuum expectation values. First, we discuss the computation of Vassiliev invariants. Second, we discuss the Vogel theorem of not distinguishing chord diagrams by weight systems coming from semisimple Lie (super)algebras. Third, we provide a method for constructing linear recursive relations for the colored Jones polynomials considering a special case of torus knots $T[2,2k+1]$. Fourth, we give a generalization of the one-hook scaling property for the colored Alexander polynomials. And finally, for the group factors we provide a combinatorial description, which has a clear dependence on the rank $N$ and the representation $R$.
|
1803.08282
|
Roldao da Rocha
|
A. Yanes, R. da Rocha
|
Additional fermionic fields onto parallelizable 7-spheres
|
16 pages
|
Prog. Theor. Exp. Phys. 063B09 (2018)
|
10.1093/ptep/pty068
| null |
hep-th math-ph math.MP
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
The geometric Fierz identities are here employed to generate new emergent
fermionic fields on the parallelizable (curvatureless, torsionfull) 7-sphere
($S^7$). Employing recently found new classes of spinor fields on the $S^7$
spin bundle, new classes of fermionic fields are obtained from their bilinear
covariants by a generalized reconstruction theorem, on the parallelizable
$S^7$. Using a generalized non-associative product on the octonionic bundle on
the parallelizable $S^7$, these new classes of algebraic spinor fields, lifted
onto the parallelizable $S^7$, are shown to correctly transform under the
Moufang loop generators on $S^7$.
|
[
{
"created": "Thu, 22 Mar 2018 09:27:39 GMT",
"version": "v1"
},
{
"created": "Mon, 2 Jul 2018 17:03:25 GMT",
"version": "v2"
},
{
"created": "Tue, 16 Feb 2021 00:53:55 GMT",
"version": "v3"
}
] |
2021-02-17
|
[
[
"Yanes",
"A.",
""
],
[
"da Rocha",
"R.",
""
]
] |
The geometric Fierz identities are here employed to generate new emergent fermionic fields on the parallelizable (curvatureless, torsionfull) 7-sphere ($S^7$). Employing recently found new classes of spinor fields on the $S^7$ spin bundle, new classes of fermionic fields are obtained from their bilinear covariants by a generalized reconstruction theorem, on the parallelizable $S^7$. Using a generalized non-associative product on the octonionic bundle on the parallelizable $S^7$, these new classes of algebraic spinor fields, lifted onto the parallelizable $S^7$, are shown to correctly transform under the Moufang loop generators on $S^7$.
|
2001.11145
|
Niklas Mueller
|
Niklas Mueller, Andrey Tarasov, Raju Venugopalan
|
Computing real time correlation functions on a hybrid classical/quantum
computer
|
Conference Proceedings XXVIIIth International Conference on
Ultrarelativistic Nucleus-Nucleus Collisions (Quark Matter 2019), 4 pages, no
figures
| null |
10.1016/j.nuclphysa.2020.121889
| null |
hep-th hep-ph nucl-th quant-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Quantum devices may overcome limitations of classical computers in studies of
nuclear structure functions and parton Wigner distributions of protons and
nuclei. In this talk, we discuss a worldline approach to compute nuclear
structure functions in the high energy Regge limit of QCD using a hybrid
quantum computer, by expressing the fermion determinant in the QCD path
integral as a quantum mechanical path integral over $0+1$-dimensional fermionic
and bosonic world-lines in background gauge fields. Our simplest example of
computing the well-known dipole model result for the structure function $F_2$
in the high energy Regge limit is feasible with NISQ era technology using few
qubits and shallow circuits. This example can be scaled up in complexity and
extended in scope to compute structure functions, scattering amplitudes and
other real-time correlation functions in QCD, relevant for example to describe
non-equilibrium transport of quarks and gluons in a Quark-Gluon-Plasma.
|
[
{
"created": "Thu, 30 Jan 2020 01:43:21 GMT",
"version": "v1"
}
] |
2021-02-03
|
[
[
"Mueller",
"Niklas",
""
],
[
"Tarasov",
"Andrey",
""
],
[
"Venugopalan",
"Raju",
""
]
] |
Quantum devices may overcome limitations of classical computers in studies of nuclear structure functions and parton Wigner distributions of protons and nuclei. In this talk, we discuss a worldline approach to compute nuclear structure functions in the high energy Regge limit of QCD using a hybrid quantum computer, by expressing the fermion determinant in the QCD path integral as a quantum mechanical path integral over $0+1$-dimensional fermionic and bosonic world-lines in background gauge fields. Our simplest example of computing the well-known dipole model result for the structure function $F_2$ in the high energy Regge limit is feasible with NISQ era technology using few qubits and shallow circuits. This example can be scaled up in complexity and extended in scope to compute structure functions, scattering amplitudes and other real-time correlation functions in QCD, relevant for example to describe non-equilibrium transport of quarks and gluons in a Quark-Gluon-Plasma.
|
1402.6864
|
Dmitry Shogin
|
Dmitry Shogin, Sigbj{\o}rn Hervik
|
The late-time behaviour of tilted Bianchi type VIII universes in
presence of diffusion
|
13 pages, no figures
|
Class. Quant. Grav. 31 (2014) 135006
|
10.1088/0264-9381/31/13/135006
| null |
gr-qc astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply the dynamical systems approach to ever-expanding Bianchi type VIII
cosmologies filled with a tilted $\gamma$-fluid undergoing velocity diffusion
on a scalar field. We determine the future attractors and investigate the
late-time behaviour of the models. We find that at late times the normalized
energy density $\Omega$ tends to zero, while the scalar potential $\Phi$
approaches 1 and dominates the evolution. Moreover, we demonstrate that in
presence of diffusion fluids with $\gamma<3/2$, which includes physically
important cases of dust $(\gamma=1)$ and radiation $(\gamma=4/3)$, are
asymptotically non-tilted; the velocity of the fluid with $\gamma=3/2$ tends to
a constant value $0<\bar{V}<1$; and stiffer fluids evolve towards a state of
extreme tilt. Finally, we show that diffusion significantly reduces the decay
rates of energy density for dust and fluids stiffer than dust $(\gamma \geq
1)$; for example, at $\gamma=4/3$ (radiation) we obtain $\rho/H^2 \propto
e^{-3H_0 t}$ at late times, while $\rho/H^2 \propto e^{-4H_0 t}$ when diffusion
is absent.
|
[
{
"created": "Thu, 27 Feb 2014 11:29:38 GMT",
"version": "v1"
}
] |
2014-11-13
|
[
[
"Shogin",
"Dmitry",
""
],
[
"Hervik",
"Sigbjørn",
""
]
] |
We apply the dynamical systems approach to ever-expanding Bianchi type VIII cosmologies filled with a tilted $\gamma$-fluid undergoing velocity diffusion on a scalar field. We determine the future attractors and investigate the late-time behaviour of the models. We find that at late times the normalized energy density $\Omega$ tends to zero, while the scalar potential $\Phi$ approaches 1 and dominates the evolution. Moreover, we demonstrate that in presence of diffusion fluids with $\gamma<3/2$, which includes physically important cases of dust $(\gamma=1)$ and radiation $(\gamma=4/3)$, are asymptotically non-tilted; the velocity of the fluid with $\gamma=3/2$ tends to a constant value $0<\bar{V}<1$; and stiffer fluids evolve towards a state of extreme tilt. Finally, we show that diffusion significantly reduces the decay rates of energy density for dust and fluids stiffer than dust $(\gamma \geq 1)$; for example, at $\gamma=4/3$ (radiation) we obtain $\rho/H^2 \propto e^{-3H_0 t}$ at late times, while $\rho/H^2 \propto e^{-4H_0 t}$ when diffusion is absent.
|
2402.02353
|
Qing-Hua Zhu
|
Qing-Hua Zhu
|
Intrinsic bispectrum of the scalar-induced gravitational waves
|
31 pages, 11 figures
| null | null | null |
gr-qc astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Recent pulsar timing array collaborations have reported evidence of the
stochastic gravitational wave background. The gravitational waves induced by
primordial curvature perturbations, referred to as scalar-induced gravitational
waves (SIGWs), could potentially be the physical origins of this gravitational
wave background. In addition to the statistical properties of SIGWs derived
from the primordial fluctuations, SIGWs also have intrinsic non-Gaussianity
originating from the non-linear interactions of Einstein's gravity, which,
however, is rarely explored. In this paper, we study the intrinsic
non-Gaussianity of SIGWs with the bispectrum and the skewness under the
assumption of the Gaussian primordial curvature perturbations,
phenomenologically modeled as a lognormal spectrum. The bispectrum is shown to
be vanishing in the collinear limit, which is independent of the initial
conditions and the dynamics of SIGWs. For the SIGWs generated during the
radiation-dominated era, the bispectrum is of flatten-type non-Gaussianity,
with only four polarization components left to be non-vanishing. Additionally,
in order to obtain the correct bispectrum, we also propose a time-oscillation
average scheme and a regularization scheme. Utilizing the skewness for
quantifying the degree of non-Gaussianity, it is found that the curvature power
spectrum with a narrow width can result in an enhancement of the third-order
non-Gaussianity. The conclusion holds for both the SIGWs generated in the
radiation-dominated era and the matter-dominated era.
|
[
{
"created": "Sun, 4 Feb 2024 05:37:12 GMT",
"version": "v1"
}
] |
2024-02-06
|
[
[
"Zhu",
"Qing-Hua",
""
]
] |
Recent pulsar timing array collaborations have reported evidence of the stochastic gravitational wave background. The gravitational waves induced by primordial curvature perturbations, referred to as scalar-induced gravitational waves (SIGWs), could potentially be the physical origins of this gravitational wave background. In addition to the statistical properties of SIGWs derived from the primordial fluctuations, SIGWs also have intrinsic non-Gaussianity originating from the non-linear interactions of Einstein's gravity, which, however, is rarely explored. In this paper, we study the intrinsic non-Gaussianity of SIGWs with the bispectrum and the skewness under the assumption of the Gaussian primordial curvature perturbations, phenomenologically modeled as a lognormal spectrum. The bispectrum is shown to be vanishing in the collinear limit, which is independent of the initial conditions and the dynamics of SIGWs. For the SIGWs generated during the radiation-dominated era, the bispectrum is of flatten-type non-Gaussianity, with only four polarization components left to be non-vanishing. Additionally, in order to obtain the correct bispectrum, we also propose a time-oscillation average scheme and a regularization scheme. Utilizing the skewness for quantifying the degree of non-Gaussianity, it is found that the curvature power spectrum with a narrow width can result in an enhancement of the third-order non-Gaussianity. The conclusion holds for both the SIGWs generated in the radiation-dominated era and the matter-dominated era.
|
2403.19934
|
Jonathan Harper
|
Jonathan Harper, Hiroki Kanda, Tadashi Takayanagi, and Kenya Tasuki
|
The $g$-theorem from Strong Subadditivity
|
7 pages, 6 figures
| null | null |
YITP-24-32
|
hep-th cond-mat.stat-mech quant-ph
|
http://creativecommons.org/licenses/by-nc-sa/4.0/
|
We show that strong subadditivity provides a simple derivation of the
$g$-theorem for the boundary renormalization group flow in two-dimensional
conformal field theories. We work out its holographic interpretation and also
give a derivation of the $g$-theorem for the case of an interface in
two-dimensional conformal field theories. We also geometrically confirm strong
subadditivity for holographic duals of conformal field theories on manifolds
with boundaries.
|
[
{
"created": "Fri, 29 Mar 2024 02:42:08 GMT",
"version": "v1"
}
] |
2024-04-02
|
[
[
"Harper",
"Jonathan",
""
],
[
"Kanda",
"Hiroki",
""
],
[
"Takayanagi",
"Tadashi",
""
],
[
"Tasuki",
"Kenya",
""
]
] |
We show that strong subadditivity provides a simple derivation of the $g$-theorem for the boundary renormalization group flow in two-dimensional conformal field theories. We work out its holographic interpretation and also give a derivation of the $g$-theorem for the case of an interface in two-dimensional conformal field theories. We also geometrically confirm strong subadditivity for holographic duals of conformal field theories on manifolds with boundaries.
|
1609.09497
|
Austin Joyce
|
Kurt Hinterbichler, Austin Joyce, Justin Khoury
|
Inflation in Flatland
|
27 pages. v2: Minor corrections, version to appear in JCAP
|
JCAP 01 (2017) 044
|
10.1088/1475-7516/2017/01/044
| null |
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We investigate the symmetry structure of inflation in 2+1 dimensions. In
particular, we show that the asymptotic symmetries of three-dimensional de
Sitter space are in one-to-one correspondence with cosmological adiabatic modes
for the curvature perturbation. In 2+1 dimensions, the asymptotic symmetry
algebra is infinite-dimensional, given by two copies of the Virasoro algebra,
and can be traced to the conformal symmetries of the two-dimensional spatial
slices of de Sitter. We study the consequences of this infinite-dimensional
symmetry for inflationary correlation functions, finding new soft theorems that
hold only in 2+1 dimensions. Expanding the correlation functions as a power
series in the soft momentum $q$, these relations constrain the traceless part
of the tensorial coefficient at each order in $q$ in terms of a lower-point
function. As a check, we verify that the ${\cal O}(q^2)$ identity is satisfied
by inflationary correlation functions in the limit of small sound speed.
|
[
{
"created": "Thu, 29 Sep 2016 20:00:00 GMT",
"version": "v1"
},
{
"created": "Thu, 12 Jan 2017 19:11:41 GMT",
"version": "v2"
}
] |
2017-01-25
|
[
[
"Hinterbichler",
"Kurt",
""
],
[
"Joyce",
"Austin",
""
],
[
"Khoury",
"Justin",
""
]
] |
We investigate the symmetry structure of inflation in 2+1 dimensions. In particular, we show that the asymptotic symmetries of three-dimensional de Sitter space are in one-to-one correspondence with cosmological adiabatic modes for the curvature perturbation. In 2+1 dimensions, the asymptotic symmetry algebra is infinite-dimensional, given by two copies of the Virasoro algebra, and can be traced to the conformal symmetries of the two-dimensional spatial slices of de Sitter. We study the consequences of this infinite-dimensional symmetry for inflationary correlation functions, finding new soft theorems that hold only in 2+1 dimensions. Expanding the correlation functions as a power series in the soft momentum $q$, these relations constrain the traceless part of the tensorial coefficient at each order in $q$ in terms of a lower-point function. As a check, we verify that the ${\cal O}(q^2)$ identity is satisfied by inflationary correlation functions in the limit of small sound speed.
|
0901.3011
|
Lorenzo Iorio
|
Lorenzo Iorio
|
MOND orbits in the Oort cloud
|
LaTex, 28 pages, no tables, 22 figures, 36 references. To appear in
The Open Astronomy Journal (TOAJ)
|
Open Astron.J.3:156-166,2010
|
10.2174/1874381101003010156
| null |
gr-qc astro-ph.EP astro-ph.GA hep-ph physics.space-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We numerically investigate the features of typical orbits occurring in the
Oort cloud (r\approx 50-150 kAU) in the low-acceleration regime of the MOdified
Newtonian Dynamics (MOND). We take into account the so-called External Field
Effect (EFE) because the solar system is embedded in the Milky Way. In the
framework of MOND this does matter since the gravitational acceleration of
Galactic origin felt by the solar system is of the same order of magnitude of
the characteristic MOND acceleration scale A_0\approx 10^-10 m s^-2. We use
three different forms of the MOND interpolating function \mu(x) and two
different values for the Galactic field at the Sun's location. We find that
MOND produces highly distorted trajectories with respect to the Newtonian case,
especially for very eccentric orbits. It turns out that the shape of the MOND
orbits strongly depend on the initial conditions. For particular initial state
vectors, the MOND paths in the ecliptic plane get shrunk extending over much
smaller spatial regions than in the Newtonian case, and experience high
frequency variations over one Keplerian orbital period. Ecliptic orbits with
different initial conditions and nearly polar orbits are quite different
getting distorted as well, but they occupy more extended spatial regions. This
facts may have consequences on the composition and the dynamical history of the
Oort cloud which are difficult to predict.
|
[
{
"created": "Tue, 20 Jan 2009 10:17:45 GMT",
"version": "v1"
},
{
"created": "Thu, 22 Jan 2009 10:16:11 GMT",
"version": "v2"
},
{
"created": "Sun, 22 Feb 2009 17:26:38 GMT",
"version": "v3"
},
{
"created": "Wed, 4 Mar 2009 16:39:45 GMT",
"version": "v4"
},
{
"created": "Wed, 1 Apr 2009 17:08:57 GMT",
"version": "v5"
},
{
"created": "Fri, 31 Jul 2009 07:35:07 GMT",
"version": "v6"
},
{
"created": "Mon, 15 Feb 2010 19:53:12 GMT",
"version": "v7"
},
{
"created": "Fri, 27 Aug 2010 09:02:40 GMT",
"version": "v8"
}
] |
2011-04-07
|
[
[
"Iorio",
"Lorenzo",
""
]
] |
We numerically investigate the features of typical orbits occurring in the Oort cloud (r\approx 50-150 kAU) in the low-acceleration regime of the MOdified Newtonian Dynamics (MOND). We take into account the so-called External Field Effect (EFE) because the solar system is embedded in the Milky Way. In the framework of MOND this does matter since the gravitational acceleration of Galactic origin felt by the solar system is of the same order of magnitude of the characteristic MOND acceleration scale A_0\approx 10^-10 m s^-2. We use three different forms of the MOND interpolating function \mu(x) and two different values for the Galactic field at the Sun's location. We find that MOND produces highly distorted trajectories with respect to the Newtonian case, especially for very eccentric orbits. It turns out that the shape of the MOND orbits strongly depend on the initial conditions. For particular initial state vectors, the MOND paths in the ecliptic plane get shrunk extending over much smaller spatial regions than in the Newtonian case, and experience high frequency variations over one Keplerian orbital period. Ecliptic orbits with different initial conditions and nearly polar orbits are quite different getting distorted as well, but they occupy more extended spatial regions. This facts may have consequences on the composition and the dynamical history of the Oort cloud which are difficult to predict.
|
hep-th/9901129
|
S. P. Li
|
Hung Cheng, S.P. Li
|
The Standard Model in the Alpha gauge is not renormalizable
|
26 pages, LaTeX
| null | null | null |
hep-th
| null |
We study the Ward-Takahashi identities in the standard model with the gauge
fixing terms given by (1.1) and (1.2). We find that the isolated singularities
of the propagators for the unphysical particles are poles of even order, not
the simple poles people have assumed them to be. Furthermore, the position of
these poles are ultraviolet divergent. Thus the standard model in the alpha
gauge in general, and the Feynman gauge in particular, is not renormalizable.
We study also the case with the gauge fixing terms (1.3), and find that the
propagators remain non-renormalizable. The only gauge without these
difficulties is the Landau gauge. One therefore has to make a distinction
between the renormalizability of the Green functions and that of the physical
scattering amplitudes.
|
[
{
"created": "Wed, 27 Jan 1999 01:50:02 GMT",
"version": "v1"
},
{
"created": "Wed, 27 Jan 1999 02:23:26 GMT",
"version": "v2"
}
] |
2007-05-23
|
[
[
"Cheng",
"Hung",
""
],
[
"Li",
"S. P.",
""
]
] |
We study the Ward-Takahashi identities in the standard model with the gauge fixing terms given by (1.1) and (1.2). We find that the isolated singularities of the propagators for the unphysical particles are poles of even order, not the simple poles people have assumed them to be. Furthermore, the position of these poles are ultraviolet divergent. Thus the standard model in the alpha gauge in general, and the Feynman gauge in particular, is not renormalizable. We study also the case with the gauge fixing terms (1.3), and find that the propagators remain non-renormalizable. The only gauge without these difficulties is the Landau gauge. One therefore has to make a distinction between the renormalizability of the Green functions and that of the physical scattering amplitudes.
|
0811.4077
|
Jan Steinheimer
|
Jan Steinheimer, Michael Mitrovski, Tim Schuster, Hannah Petersen,
Marcus Bleicher and Horst Stoecker
|
Strangeness fluctuations and MEMO production at FAIR
|
7 pages, 8 figures, added some discussion, changed plots
|
Phys.Lett.B676:126-131,2009
|
10.1016/j.physletb.2009.04.062
| null |
hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We apply a coupled transport-hydrodynamics model to discuss the production of
multi-strange meta-stable objects in Pb+Pb reactions at the FAIR facility. In
addition to making predictions for yields of these particles we are able to
calculate particle dependent rapidity and momentum distributions. We argue that
the FAIR energy regime is the optimal place to search for multi-strange
baryonic object (due to the high baryon density, favouring a distillation of
strangeness). Additionally, we show results for strangeness and baryon density
fluctuations. Using the UrQMD model we calculate the strangeness seperation in
phase space which might lead to an enhanced production of MEMOs compared to
models that assume global thermalization.
|
[
{
"created": "Tue, 25 Nov 2008 20:16:41 GMT",
"version": "v1"
},
{
"created": "Mon, 3 Aug 2009 08:19:27 GMT",
"version": "v2"
}
] |
2009-11-05
|
[
[
"Steinheimer",
"Jan",
""
],
[
"Mitrovski",
"Michael",
""
],
[
"Schuster",
"Tim",
""
],
[
"Petersen",
"Hannah",
""
],
[
"Bleicher",
"Marcus",
""
],
[
"Stoecker",
"Horst",
""
]
] |
We apply a coupled transport-hydrodynamics model to discuss the production of multi-strange meta-stable objects in Pb+Pb reactions at the FAIR facility. In addition to making predictions for yields of these particles we are able to calculate particle dependent rapidity and momentum distributions. We argue that the FAIR energy regime is the optimal place to search for multi-strange baryonic object (due to the high baryon density, favouring a distillation of strangeness). Additionally, we show results for strangeness and baryon density fluctuations. Using the UrQMD model we calculate the strangeness seperation in phase space which might lead to an enhanced production of MEMOs compared to models that assume global thermalization.
|
1002.3714
|
Anastasia Doikou
|
Anastasia Doikou, Konstadinos Sfetsos
|
Contractions of quantum algebraic structures
|
6 pages, Latex. Proceedings contribution to the "9th Hellenic School
on Elementary Particle Physics and Gravity" Corfu, September 2009. Based on a
talk given by A.D
|
Fortsch. Phys.58:879-882, 2010
|
10.1002/prop.201000032
| null |
hep-th math-ph math.MP nlin.SI
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
A general framework for obtaining certain types of contracted and centrally
extended algebras is presented. The whole process relies on the existence of
quadratic algebras, which appear in the context of boundary integrable models.
|
[
{
"created": "Fri, 19 Feb 2010 11:17:08 GMT",
"version": "v1"
}
] |
2014-11-20
|
[
[
"Doikou",
"Anastasia",
""
],
[
"Sfetsos",
"Konstadinos",
""
]
] |
A general framework for obtaining certain types of contracted and centrally extended algebras is presented. The whole process relies on the existence of quadratic algebras, which appear in the context of boundary integrable models.
|
2401.12960
|
Artem Averin
|
Artem Averin
|
Framework for the Quantum Mechanical Sum of Possibilities and Meaning
for Field Theory and Gravity
| null | null | null | null |
hep-th gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
In quantum mechanics, the measureable quantities of a given theory are
predicted by performing a weighted sum over possibilities. We show how to
arrange the possibilities into bundles such that the associated subsums can be
viewed as well-defined theories on their own right. These bundles are
submani$\textit{folds}$ of $\textit{possi}$bilities which we call possifolds.
We collect and prove some basic facts about possifolds. Especially, we show
that possifolds are ensembles of what in a certain broadly defined sense that
we explain can be regarded as soliton excitations (soliton-possifold
correspondence). We provide an outlook on some applications. Among other
things, we illustrate the use of the developed framework for the example of the
Lieb-Liniger model. It describes non-relativistic bosons with an attractive
interaction. We derive a dual theory describing the lowest-lying energy
excitation modes. While the standard Bogoliubov-approximation breaks down at
the critical point, our derived summation prescription stays regular. In the
Bogoliubov-limit we observe the summation to possess an enhanced symmetry at
this point while the summation cannot be ignored there. We finally provide a
glimpse on the restrictions black hole physics implies in this context for the
gravitational path integral.
|
[
{
"created": "Tue, 23 Jan 2024 18:45:17 GMT",
"version": "v1"
}
] |
2024-01-24
|
[
[
"Averin",
"Artem",
""
]
] |
In quantum mechanics, the measureable quantities of a given theory are predicted by performing a weighted sum over possibilities. We show how to arrange the possibilities into bundles such that the associated subsums can be viewed as well-defined theories on their own right. These bundles are submani$\textit{folds}$ of $\textit{possi}$bilities which we call possifolds. We collect and prove some basic facts about possifolds. Especially, we show that possifolds are ensembles of what in a certain broadly defined sense that we explain can be regarded as soliton excitations (soliton-possifold correspondence). We provide an outlook on some applications. Among other things, we illustrate the use of the developed framework for the example of the Lieb-Liniger model. It describes non-relativistic bosons with an attractive interaction. We derive a dual theory describing the lowest-lying energy excitation modes. While the standard Bogoliubov-approximation breaks down at the critical point, our derived summation prescription stays regular. In the Bogoliubov-limit we observe the summation to possess an enhanced symmetry at this point while the summation cannot be ignored there. We finally provide a glimpse on the restrictions black hole physics implies in this context for the gravitational path integral.
|
2109.08146
|
Kevin Croker
|
Kevin S. Croker, Michael J. Zevin, Duncan Farrah, Kurtis A. Nishimura,
Gregory Tarle
|
Cosmologically coupled compact objects: a single parameter model for
LIGO--Virgo mass and redshift distributions
|
8 pages, 2 figures. Submitted to ApJL
| null |
10.3847/2041-8213/ac2fad
| null |
gr-qc astro-ph.CO
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We demonstrate a single-parameter route for reproducing higher mass objects
as observed in the LIGO--Virgo mass distribution, using only the isolated
binary stellar evolution channel. This single parameter encodes the
cosmological mass growth of compact stellar remnants that exceed the
Tolman-Oppenheimer-Volkoff limit. Cosmological mass growth appears in known
solutions to General Relativity with cosmological boundary conditions. We
consider the possibility of solutions with cosmological boundary conditions,
which reduce to Kerr on timescales short compared to the Hubble time. We
discuss complementary observational signatures of these solutions that can
confirm or invalidate their astrophysical relevance.
|
[
{
"created": "Wed, 15 Sep 2021 18:00:03 GMT",
"version": "v1"
}
] |
2021-11-17
|
[
[
"Croker",
"Kevin S.",
""
],
[
"Zevin",
"Michael J.",
""
],
[
"Farrah",
"Duncan",
""
],
[
"Nishimura",
"Kurtis A.",
""
],
[
"Tarle",
"Gregory",
""
]
] |
We demonstrate a single-parameter route for reproducing higher mass objects as observed in the LIGO--Virgo mass distribution, using only the isolated binary stellar evolution channel. This single parameter encodes the cosmological mass growth of compact stellar remnants that exceed the Tolman-Oppenheimer-Volkoff limit. Cosmological mass growth appears in known solutions to General Relativity with cosmological boundary conditions. We consider the possibility of solutions with cosmological boundary conditions, which reduce to Kerr on timescales short compared to the Hubble time. We discuss complementary observational signatures of these solutions that can confirm or invalidate their astrophysical relevance.
|
1010.5921
|
Mathew Bullimore
|
Mathew Bullimore
|
MHV Diagrams from an All-Line Recursion Relation
|
37 pages
| null |
10.1007/JHEP08(2011)107
| null |
hep-th
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
We consider the recursion relation for loop integrands in planar N = 4 SYM
generated by an all-line shift of momentum twistors. We examine the behaviour
of the rational loop integrands when the shift parameter becomes large, and
find that a valid recursion relation may be obtained in all cases. The
recursion relation is then formulated both in region momentum space and in
momentum twistor space, and solved in detail for some one and two-loop
examples. Finally, we show that the general iterative solution of the recursion
relation generates the MHV vertex expansion for all loop integrands, providing
a proof of the MHV diagram formalism for all loop amplitudes in planar N = 4
SYM.
|
[
{
"created": "Thu, 28 Oct 2010 11:11:32 GMT",
"version": "v1"
}
] |
2015-05-20
|
[
[
"Bullimore",
"Mathew",
""
]
] |
We consider the recursion relation for loop integrands in planar N = 4 SYM generated by an all-line shift of momentum twistors. We examine the behaviour of the rational loop integrands when the shift parameter becomes large, and find that a valid recursion relation may be obtained in all cases. The recursion relation is then formulated both in region momentum space and in momentum twistor space, and solved in detail for some one and two-loop examples. Finally, we show that the general iterative solution of the recursion relation generates the MHV vertex expansion for all loop integrands, providing a proof of the MHV diagram formalism for all loop amplitudes in planar N = 4 SYM.
|
1011.6357
|
Ishwaree Neupane
|
Ishwaree P. Neupane
|
De Sitter brane-world, localization of gravity, and the cosmological
constant
|
10 pages, 5 figures
|
Phys.Rev.D83:086004,2011
|
10.1103/PhysRevD.83.086004
|
UOC-TP 014/10
|
hep-th astro-ph.CO gr-qc hep-ph
|
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
|
Cosmological models with a de Sitter 3-brane embedded in a five-dimensional
de Sitter spacetime (dS5) give rise to a finite 4D Planck mass similar to that
in Randall-Sundrum (RS) brane-world models in AdS5 spacetime. Yet there arise a
few important differences as compared to the results with a flat 3-brane or 4D
Minkowski spacetime. For example, the mass reduction formula (MRF)
$M_{Pl}^2=M_{5}^3 \ell_{AdS}$ as well as the relationship $M_{Pl}^2=
M_{Pl(4+n)}^{n+2} L^{n}$ (with $L$ being the average size or the radius of the
$n$ extra dimensions) expected in models of product-space (or Kaluza-Klein)
compactifications get modified in cosmological backgrounds. In an expanding
universe, a physically relevant MRF encodes information upon the
four-dimensional Hubble expansion parameter, in addition to the length and mass
parameters $L$, $M_{Pl}$ and $M_{Pl (4+n)}$. If a bulk cosmological constant is
present in the solution, then the reduction formula is further modified. With
these new insights, we show that the localization of a massless 4D graviton as
well as the mass hierarchy between $M_{Pl}$ and $M_{Pl (4+n)}$ can be explained
in cosmological brane-world models. A notable advantage of having a 5D de
Sitter bulk is that in this case the zero-mass wavefunction is normalizable,
which is not necessarily the case if the bulk spacetime is anti de Sitter. In
spacetime dimensions $D\ge 7$, however, the bulk cosmological constant
$\Lambda_b$ can take either sign ($\Lambda_b <0$, $=0$, or $>0$). The D=6 case
is rather inconclusive, in which case $\Lambda_b$ may be introduced together
with 2-form gauge field (or flux).
|
[
{
"created": "Mon, 29 Nov 2010 20:23:07 GMT",
"version": "v1"
},
{
"created": "Thu, 31 Mar 2011 06:34:15 GMT",
"version": "v2"
}
] |
2011-04-22
|
[
[
"Neupane",
"Ishwaree P.",
""
]
] |
Cosmological models with a de Sitter 3-brane embedded in a five-dimensional de Sitter spacetime (dS5) give rise to a finite 4D Planck mass similar to that in Randall-Sundrum (RS) brane-world models in AdS5 spacetime. Yet there arise a few important differences as compared to the results with a flat 3-brane or 4D Minkowski spacetime. For example, the mass reduction formula (MRF) $M_{Pl}^2=M_{5}^3 \ell_{AdS}$ as well as the relationship $M_{Pl}^2= M_{Pl(4+n)}^{n+2} L^{n}$ (with $L$ being the average size or the radius of the $n$ extra dimensions) expected in models of product-space (or Kaluza-Klein) compactifications get modified in cosmological backgrounds. In an expanding universe, a physically relevant MRF encodes information upon the four-dimensional Hubble expansion parameter, in addition to the length and mass parameters $L$, $M_{Pl}$ and $M_{Pl (4+n)}$. If a bulk cosmological constant is present in the solution, then the reduction formula is further modified. With these new insights, we show that the localization of a massless 4D graviton as well as the mass hierarchy between $M_{Pl}$ and $M_{Pl (4+n)}$ can be explained in cosmological brane-world models. A notable advantage of having a 5D de Sitter bulk is that in this case the zero-mass wavefunction is normalizable, which is not necessarily the case if the bulk spacetime is anti de Sitter. In spacetime dimensions $D\ge 7$, however, the bulk cosmological constant $\Lambda_b$ can take either sign ($\Lambda_b <0$, $=0$, or $>0$). The D=6 case is rather inconclusive, in which case $\Lambda_b$ may be introduced together with 2-form gauge field (or flux).
|
hep-th/0404145
|
Miloslav Znojil
|
Miloslav Znojil
|
PT-symmetric regularizations in supersymmetric quantum mechanics
|
17 pages, based on the talk during SUSY QM conference in Valladolid
in the summer in 2003, to appear in J. Phys. A: Math. Gen. (spec. issue)
|
J.Phys.A37:10209-10222,2004
|
10.1088/0305-4470/37/43/013
| null |
hep-th
| null |
Supersymmetry offers one of the deepest insights in the concept of
solvability in quantum mechanics. This insight is, paradoxically, restricted by
one of the most serious formal drawbacks of the standard Witten's formulation
of supersymmetric quantum mechanics which lies in the Jevicki-Rodrigues'
postulate of absence of poles in superpotentials W(x) over all the real axis of
coordinates x. In our review we emphasize that this obstacle is artificial and
that it disappears immediately after a suitable (say, constant) shift of the
axis of x into complex plane. Detailed attention is paid to a close
relationship between this common trick and the recent not quite expected
increase of interest in non-Hermitian (a. k. a. PT-symmetric or
pseudo-Hermitian) Hamiltonians. We show that the resulting PT-SUSY
regularization recipe proves both easy and universal. An insight into its
mathematics is mediated by the complex harmonic oscillator with a
centrifugal-like spike. An exhaustive discussion of the role of the strength of
this spike is offered. In addition we recollect the possibility of a
re-formulation of the recipe in the second-order SUSY language. Finally we list
a few promising directions of applicability of our PT-SUSY regularization
prescription to a few more complicated nonrelativistic models (superintegrable
Hamiltonians of the Smorodinsky-Winternitz and of the Calogero-Sutherland type)
and to the relativistic Klein-Gordon equation (as well as to all of its
unphysical higher-order analogues).
|
[
{
"created": "Tue, 20 Apr 2004 12:45:04 GMT",
"version": "v1"
}
] |
2008-11-26
|
[
[
"Znojil",
"Miloslav",
""
]
] |
Supersymmetry offers one of the deepest insights in the concept of solvability in quantum mechanics. This insight is, paradoxically, restricted by one of the most serious formal drawbacks of the standard Witten's formulation of supersymmetric quantum mechanics which lies in the Jevicki-Rodrigues' postulate of absence of poles in superpotentials W(x) over all the real axis of coordinates x. In our review we emphasize that this obstacle is artificial and that it disappears immediately after a suitable (say, constant) shift of the axis of x into complex plane. Detailed attention is paid to a close relationship between this common trick and the recent not quite expected increase of interest in non-Hermitian (a. k. a. PT-symmetric or pseudo-Hermitian) Hamiltonians. We show that the resulting PT-SUSY regularization recipe proves both easy and universal. An insight into its mathematics is mediated by the complex harmonic oscillator with a centrifugal-like spike. An exhaustive discussion of the role of the strength of this spike is offered. In addition we recollect the possibility of a re-formulation of the recipe in the second-order SUSY language. Finally we list a few promising directions of applicability of our PT-SUSY regularization prescription to a few more complicated nonrelativistic models (superintegrable Hamiltonians of the Smorodinsky-Winternitz and of the Calogero-Sutherland type) and to the relativistic Klein-Gordon equation (as well as to all of its unphysical higher-order analogues).
|
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