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1703.02923
Hassan Firouzjahi
Hassan Firouzjahi, Mohammad Ali Gorji, Seyed Ali Hosseini Mansoori
Instabilities in Mimetic Matter Perturbations
v2: Discussions improved, references added, JCAP published version
null
10.1088/1475-7516/2017/07/031
null
hep-th astro-ph.CO gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study cosmological perturbations in mimetic matter scenario with a general higher derivative function. We calculate the quadratic action and show that both the kinetic term and the gradient term have the wrong sings. We perform the analysis in both comoving and Newtonian gauges and confirm that the Hamiltonians and the associated instabilities are consistent with each other in both gauges. The existence of instabilities is independent of the specific form of higher derivative function which generates gradients for mimetic field perturbations. It is verified that the ghost instability in mimetic perturbations is not associated with the higher derivative instabilities such as the Ostrogradsky ghost.
[ { "created": "Wed, 8 Mar 2017 17:25:41 GMT", "version": "v1" }, { "created": "Thu, 3 Aug 2017 18:28:07 GMT", "version": "v2" } ]
2017-08-07
[ [ "Firouzjahi", "Hassan", "" ], [ "Gorji", "Mohammad Ali", "" ], [ "Mansoori", "Seyed Ali Hosseini", "" ] ]
We study cosmological perturbations in mimetic matter scenario with a general higher derivative function. We calculate the quadratic action and show that both the kinetic term and the gradient term have the wrong sings. We perform the analysis in both comoving and Newtonian gauges and confirm that the Hamiltonians and the associated instabilities are consistent with each other in both gauges. The existence of instabilities is independent of the specific form of higher derivative function which generates gradients for mimetic field perturbations. It is verified that the ghost instability in mimetic perturbations is not associated with the higher derivative instabilities such as the Ostrogradsky ghost.
1812.01067
Vasilis Niarchos
Jay Armas, Nam Nguyen, Vasilis Niarchos, Niels A. Obers, Thomas Van Riet
Meta-stable non-extremal anti-branes
6 pages, 2 figures; v2 presentation changes to match the published version
Phys. Rev. Lett. 122, 181601 (2019)
10.1103/PhysRevLett.122.181601
UUITP-03/12, DCPT-18/35
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We find new and compelling evidence for the meta-stability of SUSY-breaking states in holographic backgrounds whose consistency has been the source of ongoing disagreements in the literature. As a concrete example, we analyse anti-D3 branes at the tip of the Klebanov-Strassler (KS) throat. Using the blackfold formalism we examine how temperature affects the conjectured meta-stable state and determine whether and how the existing extremal results generalize when going beyond extremality. In the extremal limit we exactly recover the results of Kachru, Pearson and Verlinde (KPV), in a regime of parameter space that was previously inaccesible. Away from extremality we uncover a meta-stable black NS5 state that disappears near a geometric transition where black anti-D3 branes and black NS5 branes become indistinguishable. This is remarkably consistent with complementary earlier results based on the analysis of regularity conditions of backreacted solutions. We therefore provide highly non-trivial evidence for the meta-stability of anti-branes in non-compact throat geometries since we find a consistent picture over different regimes in parameter space.
[ { "created": "Mon, 3 Dec 2018 20:26:29 GMT", "version": "v1" }, { "created": "Tue, 15 Oct 2019 07:30:34 GMT", "version": "v2" } ]
2019-10-16
[ [ "Armas", "Jay", "" ], [ "Nguyen", "Nam", "" ], [ "Niarchos", "Vasilis", "" ], [ "Obers", "Niels A.", "" ], [ "Van Riet", "Thomas", "" ] ]
We find new and compelling evidence for the meta-stability of SUSY-breaking states in holographic backgrounds whose consistency has been the source of ongoing disagreements in the literature. As a concrete example, we analyse anti-D3 branes at the tip of the Klebanov-Strassler (KS) throat. Using the blackfold formalism we examine how temperature affects the conjectured meta-stable state and determine whether and how the existing extremal results generalize when going beyond extremality. In the extremal limit we exactly recover the results of Kachru, Pearson and Verlinde (KPV), in a regime of parameter space that was previously inaccesible. Away from extremality we uncover a meta-stable black NS5 state that disappears near a geometric transition where black anti-D3 branes and black NS5 branes become indistinguishable. This is remarkably consistent with complementary earlier results based on the analysis of regularity conditions of backreacted solutions. We therefore provide highly non-trivial evidence for the meta-stability of anti-branes in non-compact throat geometries since we find a consistent picture over different regimes in parameter space.
gr-qc/9403025
Patrick Peter
Jaume Garriga and Patrick Peter
Lensing Properties of Lightlike Current Carrying Cosmic Strings
21 pages, LaTeX-REVTeX, 7 figures available upon request, preprint # DAMTP-R94/10
Class.Quant.Grav.11:1743-1762,1994
10.1088/0264-9381/11/7/012
null
gr-qc
null
The lensing properties of superconducting cosmic strings endowed with a time dependent pulse of lightlike current are investigated. The metric outside the core of the string belongs to the $pp$--wave class, with a deficit angle. We study the field theoretic bosonic Witten model coupled to gravity, and we show that the full metric (both outside and inside the core) is a Taub-Kerr-Shild generalization of that for the static string with no current. It is shown that the double image due to the deficit angle evolves in an unambiguous way as a pulse of lightlike current passes between the source and the observer. Observational consequences of this signature of the existence of cosmic strings are briefly discussed.
[ { "created": "Sat, 12 Mar 1994 15:34:09 GMT", "version": "v1" } ]
2010-04-06
[ [ "Garriga", "Jaume", "" ], [ "Peter", "Patrick", "" ] ]
The lensing properties of superconducting cosmic strings endowed with a time dependent pulse of lightlike current are investigated. The metric outside the core of the string belongs to the $pp$--wave class, with a deficit angle. We study the field theoretic bosonic Witten model coupled to gravity, and we show that the full metric (both outside and inside the core) is a Taub-Kerr-Shild generalization of that for the static string with no current. It is shown that the double image due to the deficit angle evolves in an unambiguous way as a pulse of lightlike current passes between the source and the observer. Observational consequences of this signature of the existence of cosmic strings are briefly discussed.
0804.0951
Luis Fernando Alday
Luis F. Alday
Lectures on Scattering Amplitudes via AdS/CFT
Harvmac, 23 pages, 6 figures
Fortsch.Phys.56:816-823,2008
10.1002/prop.200810537
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We review recent progress on computing scattering amplitudes of planar N=4 super Yang-Mills at strong coupling by using the AdS/CFT duality. We do explicit computations by using both, dimensional regularization and a cut-off in the radial direction. Up to an additive constant independent on the kinematics, the finite piece of the amplitude is the same in both regularizations. The later scheme is particularly appropriate for understanding the conformal properties of the amplitudes.
[ { "created": "Mon, 7 Apr 2008 16:19:17 GMT", "version": "v1" } ]
2008-11-26
[ [ "Alday", "Luis F.", "" ] ]
We review recent progress on computing scattering amplitudes of planar N=4 super Yang-Mills at strong coupling by using the AdS/CFT duality. We do explicit computations by using both, dimensional regularization and a cut-off in the radial direction. Up to an additive constant independent on the kinematics, the finite piece of the amplitude is the same in both regularizations. The later scheme is particularly appropriate for understanding the conformal properties of the amplitudes.
gr-qc/0209068
Marcello Ortaggio
Marcello Ortaggio (Trento) and Jiri Podolsky (Prague)
Impulsive waves in electrovac direct product spacetimes with Lambda
6 pages, 1 figure, LaTeX 2e. To appear in Class. Quantum Grav
Class.Quant.Grav. 19 (2002) 5221-5227
10.1088/0264-9381/19/20/313
null
gr-qc hep-th
null
A complete family of non-expanding impulsive waves in spacetimes which are the direct product of two 2-spaces of constant curvature is presented. In addition to previously investigated impulses in Minkowski, (anti-)Nariai and Bertotti-Robinson universes, a new explicit class of impulsive waves which propagate in the exceptional electrovac Plebanski-Hacyan spacetimes with a cosmological constant Lambda is constructed. In particular, pure gravitational waves generated by null particles with an arbitrary multipole structure are described. The metrics are impulsive members of a more general family of the Kundt spacetimes of type II. The well-known pp-waves are recovered for Lambda=0.
[ { "created": "Fri, 20 Sep 2002 10:20:11 GMT", "version": "v1" } ]
2007-05-23
[ [ "Ortaggio", "Marcello", "", "Trento" ], [ "Podolsky", "Jiri", "", "Prague" ] ]
A complete family of non-expanding impulsive waves in spacetimes which are the direct product of two 2-spaces of constant curvature is presented. In addition to previously investigated impulses in Minkowski, (anti-)Nariai and Bertotti-Robinson universes, a new explicit class of impulsive waves which propagate in the exceptional electrovac Plebanski-Hacyan spacetimes with a cosmological constant Lambda is constructed. In particular, pure gravitational waves generated by null particles with an arbitrary multipole structure are described. The metrics are impulsive members of a more general family of the Kundt spacetimes of type II. The well-known pp-waves are recovered for Lambda=0.
2004.14518
Mina Aganagic
Mina Aganagic
Knot Categorification from Mirror Symmetry, Part I: Coherent Sheaves
107 pages, 18 figures. v2: references added, minor corrections
null
null
null
hep-th math.AG math.RT math.SG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We derive two geometric approaches to categorification of quantum invariants of links associated to an arbitrary compact simple Lie group $^L{G}$. In part I, we describe the first approach, based on an equivariant derived category of coherent sheaves on ${\cal X}$, the moduli space of singular $G$-monopoles, where $G$ is related to $^LG$ by Langlands duality. In part II, we describe the second approach, based on the derived category of a Fukaya-Seidel category of a Calabi-Yau $Y$ with potential $W$. The two approaches are related by a version of mirror symmetry, which plays a crucial role in the story. In part III, we explain the string theory origin of these results, and the relation to an approach due to Witten.
[ { "created": "Thu, 30 Apr 2020 00:00:12 GMT", "version": "v1" }, { "created": "Mon, 12 Jun 2023 11:44:24 GMT", "version": "v2" } ]
2023-06-13
[ [ "Aganagic", "Mina", "" ] ]
We derive two geometric approaches to categorification of quantum invariants of links associated to an arbitrary compact simple Lie group $^L{G}$. In part I, we describe the first approach, based on an equivariant derived category of coherent sheaves on ${\cal X}$, the moduli space of singular $G$-monopoles, where $G$ is related to $^LG$ by Langlands duality. In part II, we describe the second approach, based on the derived category of a Fukaya-Seidel category of a Calabi-Yau $Y$ with potential $W$. The two approaches are related by a version of mirror symmetry, which plays a crucial role in the story. In part III, we explain the string theory origin of these results, and the relation to an approach due to Witten.
2110.06225
Oscar J. C. Dias
Oscar J.C. Dias, Gary T. Horowitz, Jorge E. Santos
Inside an Asymptotically Flat Hairy Black Hole
31 pages, 10 figures. v2: references and minor comments added
null
10.1007/JHEP12(2021)179
null
hep-th gr-qc
http://creativecommons.org/licenses/by/4.0/
We study the interior of a recently constructed family of asymptotically flat, charged black holes that develop (charged) scalar hair as one increases their charge at fixed mass. Inside the horizon, these black holes resemble the interior of a holographic superconductor. There are analogs of the Josephson oscillations of the scalar field, and the final Kasner singularity depends very sensitively on the black hole parameters near the onset of the instability. In an Appendix, we give a general argument that Cauchy horizons cannot exist in a large class of stationary black holes with scalar hair.
[ { "created": "Tue, 12 Oct 2021 18:00:02 GMT", "version": "v1" }, { "created": "Wed, 17 Nov 2021 10:00:29 GMT", "version": "v2" } ]
2022-01-05
[ [ "Dias", "Oscar J. C.", "" ], [ "Horowitz", "Gary T.", "" ], [ "Santos", "Jorge E.", "" ] ]
We study the interior of a recently constructed family of asymptotically flat, charged black holes that develop (charged) scalar hair as one increases their charge at fixed mass. Inside the horizon, these black holes resemble the interior of a holographic superconductor. There are analogs of the Josephson oscillations of the scalar field, and the final Kasner singularity depends very sensitively on the black hole parameters near the onset of the instability. In an Appendix, we give a general argument that Cauchy horizons cannot exist in a large class of stationary black holes with scalar hair.
hep-th/9504021
Youngjai Kiem
Youngjai Kiem and Dahl Park
Static and Dynamic Analysis of a Massless Scalar Field Coupled with a Class of Gravity Theories
30 pages, 8 uuencoded eps figures
null
10.1103/PhysRevD.53.747
PUPT-1493
hep-th gr-qc
null
General static solutions for a massless scalar field coupled to a class of effectively 2-d gravity theories continuously connecting spherically symmetric $d$-dimensional Einstein gravity ($d >3$) and the CGHS model are analytically obtained. They include black holes and point scalar charge solutions with naked singularities, and are used to give an analytic proof of no-hair theorem. Exact scattering solutions in $s$-wave 4-d Einstein gravity are constructed as a generalization of corresponding static solutions. They show the existence of black hole formation threshold for square pulse type incoming stress-energy flux, above which trapped surfaces are dynamically formed. The relationship between this behavior and the numerically studied phase transition in this system \cite{choptuik} is discussed.
[ { "created": "Wed, 5 Apr 1995 22:44:49 GMT", "version": "v1" } ]
2009-10-28
[ [ "Kiem", "Youngjai", "" ], [ "Park", "Dahl", "" ] ]
General static solutions for a massless scalar field coupled to a class of effectively 2-d gravity theories continuously connecting spherically symmetric $d$-dimensional Einstein gravity ($d >3$) and the CGHS model are analytically obtained. They include black holes and point scalar charge solutions with naked singularities, and are used to give an analytic proof of no-hair theorem. Exact scattering solutions in $s$-wave 4-d Einstein gravity are constructed as a generalization of corresponding static solutions. They show the existence of black hole formation threshold for square pulse type incoming stress-energy flux, above which trapped surfaces are dynamically formed. The relationship between this behavior and the numerically studied phase transition in this system \cite{choptuik} is discussed.
hep-th/9505105
Cumrun Vafa
Shamit Kachru and Cumrun Vafa
Exact Results for N=2 Compactifications of Heterotic Strings
30 pages, Expansions and Modifications on more potential dual pairs involving K3 fibrations. Version to appear in Nuclear Physics B
Nucl.Phys.B450:69-89,1995
10.1016/0550-3213(95)00307-E
HUTP-95/A016
hep-th
null
We search for $N=2$, $d=4$ theories which can be realized both as heterotic string compactifications on $K_{3}\times T^{2}$ and as type II string compactifications on Calabi-Yau threefolds. In such cases, the exact non-perturbative superpotential of one string theory is given in terms of tree level computations in the other string theory. In particular we find concrete examples which provide the stringy realization of the results of Seiberg and Witten on N=2 Yang-Mills theory, corrected by gravitational/stringy effects. We also discuss some examples which shed light on how the moduli spaces of different N=2 heterotic vacua are connected.
[ { "created": "Wed, 17 May 1995 13:45:07 GMT", "version": "v1" }, { "created": "Wed, 24 May 1995 19:38:11 GMT", "version": "v2" }, { "created": "Tue, 1 Aug 1995 15:24:27 GMT", "version": "v3" } ]
2009-07-09
[ [ "Kachru", "Shamit", "" ], [ "Vafa", "Cumrun", "" ] ]
We search for $N=2$, $d=4$ theories which can be realized both as heterotic string compactifications on $K_{3}\times T^{2}$ and as type II string compactifications on Calabi-Yau threefolds. In such cases, the exact non-perturbative superpotential of one string theory is given in terms of tree level computations in the other string theory. In particular we find concrete examples which provide the stringy realization of the results of Seiberg and Witten on N=2 Yang-Mills theory, corrected by gravitational/stringy effects. We also discuss some examples which shed light on how the moduli spaces of different N=2 heterotic vacua are connected.
hep-th/9501033
Adel Bilal
Adel Bilal
NON-LOCAL EXTENSIONS OF THE CONFORMAL ALGEBRA : MATRIX $W$-ALGEBRAS, MATRIX KdV-HIERARCHIES AND NON-ABELIAN TODA THEORIES,
30 pages, uses phyzzx, lecture given at the "59. Rencontre de Strasbourg"
null
null
LPTENS-95/1
hep-th
null
In the present contribution, I report on certain {\it non-linear} and {\it non-local} extensions of the conformal (Virasoro) algebra. These so-called $V$-algebras are matrix generalizations of $W$-algebras. First, in the context of two-dimensional field theory, I discuss the non-abelian Toda model which possesses three conserved (chiral) ``currents". The Poisson brackets of these ``currents" give the simplest example of a $V$-algebra. The classical solutions of this model provide a free-field realization of the $V$-algebra. Then I show that this $V$-algebra is identical to the second Gelfand-Dikii symplectic structure on the manifold of $2\times 2$-matrix Schr\"odinger operators $L=-\d^2+U$ (with $\tr\sigma_3 U=0$). This provides a relation with matrix KdV-hierarchies and allows me to obtain an infinite family of conserved charges (Hamiltonians in involution). Finally, I work out the general $V_{n,m}$-algebras as symplectic structures based on $n\times n$-matrix $m^{\rm th}$-order differential operators $L=-\d^m +U_2\d^{m-2}+U_3 \d^{m-3}+\ldots +U_m$. It is the absence of $U_1$, together with the non-commutativity of matrices that leads to the non-local terms in the $V_{n,m}$-algebras. I show that the conformal properties are similar to those of $W_m$-algebras, while the complete $V_{n,m}$-algebras are much more complicated, as is shown on the explicit example of $V_{n,3}$.
[ { "created": "Wed, 11 Jan 1995 12:37:03 GMT", "version": "v1" } ]
2016-09-06
[ [ "Bilal", "Adel", "" ] ]
In the present contribution, I report on certain {\it non-linear} and {\it non-local} extensions of the conformal (Virasoro) algebra. These so-called $V$-algebras are matrix generalizations of $W$-algebras. First, in the context of two-dimensional field theory, I discuss the non-abelian Toda model which possesses three conserved (chiral) ``currents". The Poisson brackets of these ``currents" give the simplest example of a $V$-algebra. The classical solutions of this model provide a free-field realization of the $V$-algebra. Then I show that this $V$-algebra is identical to the second Gelfand-Dikii symplectic structure on the manifold of $2\times 2$-matrix Schr\"odinger operators $L=-\d^2+U$ (with $\tr\sigma_3 U=0$). This provides a relation with matrix KdV-hierarchies and allows me to obtain an infinite family of conserved charges (Hamiltonians in involution). Finally, I work out the general $V_{n,m}$-algebras as symplectic structures based on $n\times n$-matrix $m^{\rm th}$-order differential operators $L=-\d^m +U_2\d^{m-2}+U_3 \d^{m-3}+\ldots +U_m$. It is the absence of $U_1$, together with the non-commutativity of matrices that leads to the non-local terms in the $V_{n,m}$-algebras. I show that the conformal properties are similar to those of $W_m$-algebras, while the complete $V_{n,m}$-algebras are much more complicated, as is shown on the explicit example of $V_{n,3}$.
hep-th/9908010
Karl Landsteiner
K. Landsteiner, E. Lopez
Probing the Strong Coupling Limit of Large N SYM on Curved Backgrounds
18 pages (harvmac b-mode), 6 figures; v2: comment on D-brane probe potential and conformal anomaly added, minor changes otherwise, references added
JHEP 9909 (1999) 006
10.1088/1126-6708/1999/09/006
TUW-99-17
hep-th
null
According to the AdS/CFT correspondence, the strong coupling limit of large n, N=4 supersymmetric gauge theory at finite temperature is described by asymptotically anti de Sitter black holes. These black holes exist with planar, spherical and hyperbolic horizon geometries. We concentrate on the hyperbolic and spherical cases and probe the associated gauge theories with D3-branes and Wilson loops. The D3-brane probe reproduces the coupling of the scalars in the gauge theory to the background geometry and we find thermal stabilization in the hyperbolic case. We investigate the vacuum expectation value of Wilson loops with particular emphasis on the screening length at finite temperature. We find that the thermal phase transition of the theory on the sphere is not related to screening phenomena.
[ { "created": "Mon, 2 Aug 1999 16:07:13 GMT", "version": "v1" }, { "created": "Thu, 12 Aug 1999 16:55:46 GMT", "version": "v2" } ]
2009-10-31
[ [ "Landsteiner", "K.", "" ], [ "Lopez", "E.", "" ] ]
According to the AdS/CFT correspondence, the strong coupling limit of large n, N=4 supersymmetric gauge theory at finite temperature is described by asymptotically anti de Sitter black holes. These black holes exist with planar, spherical and hyperbolic horizon geometries. We concentrate on the hyperbolic and spherical cases and probe the associated gauge theories with D3-branes and Wilson loops. The D3-brane probe reproduces the coupling of the scalars in the gauge theory to the background geometry and we find thermal stabilization in the hyperbolic case. We investigate the vacuum expectation value of Wilson loops with particular emphasis on the screening length at finite temperature. We find that the thermal phase transition of the theory on the sphere is not related to screening phenomena.
0705.1049
Joan Josep Ferrando
Joan Josep Ferrando, Ramon Lapiedra and Juan Antonio Morales
Creatable Universes
19 pages; v2: we have added an Appendix to make explicit the proof of the quasi-uniqueness of the defined energy and momenta of the Universe, for every space-like 3-surface
Phys.Rev.D75:124003,2007
10.1103/PhysRevD.75.124003
null
gr-qc astro-ph
null
We consider the question of properly defining energy and momenta for non asymptotic Minkowskian spaces in general relativity. Only spaces of this type, whose energy, linear 3-momentum, and intrinsic angular momentum vanish, would be candidates for creatable universes, that is, for universes which could have arisen from a vacuum quantum fluctuation. Given a universe, we completely characterize the family of coordinate systems for which one could sensibly say that this universe is a creatable universe.
[ { "created": "Tue, 8 May 2007 08:52:22 GMT", "version": "v1" }, { "created": "Fri, 27 Jul 2007 11:59:41 GMT", "version": "v2" } ]
2008-11-26
[ [ "Ferrando", "Joan Josep", "" ], [ "Lapiedra", "Ramon", "" ], [ "Morales", "Juan Antonio", "" ] ]
We consider the question of properly defining energy and momenta for non asymptotic Minkowskian spaces in general relativity. Only spaces of this type, whose energy, linear 3-momentum, and intrinsic angular momentum vanish, would be candidates for creatable universes, that is, for universes which could have arisen from a vacuum quantum fluctuation. Given a universe, we completely characterize the family of coordinate systems for which one could sensibly say that this universe is a creatable universe.
1202.3256
Joshua Logue
J. Logue (1), C. D. Ott (2), I. S. Heng (1), P. Kalmus (2), J. Scargill (3) ((1) Glasgow, (2) Caltech, (3) Oxford)
Inferring Core-Collapse Supernova Physics with Gravitational Waves
22 pages, 9 figures
null
10.1103/PhysRevD.86.044023
null
gr-qc astro-ph.HE
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Stellar collapse and the subsequent development of a core-collapse supernova explosion emit bursts of gravitational waves (GWs) that might be detected by the advanced generation of laser interferometer gravitational-wave observatories such as Advanced LIGO, Advanced Virgo, and LCGT. GW bursts from core-collapse supernovae encode information on the intricate multi-dimensional dynamics at work at the core of a dying massive star and may provide direct evidence for the yet uncertain mechanism driving supernovae in massive stars. Recent multi-dimensional simulations of core-collapse supernovae exploding via the neutrino, magnetorotational, and acoustic explosion mechanisms have predicted GW signals which have distinct structure in both the time and frequency domains. Motivated by this, we describe a promising method for determining the most likely explosion mechanism underlying a hypothetical GW signal, based on Principal Component Analysis and Bayesian model selection. Using simulated Advanced LIGO noise and assuming a single detector and linear waveform polarization for simplicity, we demonstrate that our method can distinguish magnetorotational explosions throughout the Milky Way (D <~ 10kpc) and explosions driven by the neutrino and acoustic mechanisms to D <~ 2kpc. Furthermore, we show that we can differentiate between models for rotating accretion-induced collapse of massive white dwarfs and models of rotating iron core collapse with high reliability out to several kpc.
[ { "created": "Wed, 15 Feb 2012 10:08:35 GMT", "version": "v1" }, { "created": "Thu, 23 Feb 2012 11:02:09 GMT", "version": "v2" } ]
2015-06-04
[ [ "Logue", "J.", "", "Glasgow" ], [ "Ott", "C. D.", "", "Caltech" ], [ "Heng", "I. S.", "", "Glasgow" ], [ "Kalmus", "P.", "", "Caltech" ], [ "Scargill", "J.", "", "Oxford" ] ]
Stellar collapse and the subsequent development of a core-collapse supernova explosion emit bursts of gravitational waves (GWs) that might be detected by the advanced generation of laser interferometer gravitational-wave observatories such as Advanced LIGO, Advanced Virgo, and LCGT. GW bursts from core-collapse supernovae encode information on the intricate multi-dimensional dynamics at work at the core of a dying massive star and may provide direct evidence for the yet uncertain mechanism driving supernovae in massive stars. Recent multi-dimensional simulations of core-collapse supernovae exploding via the neutrino, magnetorotational, and acoustic explosion mechanisms have predicted GW signals which have distinct structure in both the time and frequency domains. Motivated by this, we describe a promising method for determining the most likely explosion mechanism underlying a hypothetical GW signal, based on Principal Component Analysis and Bayesian model selection. Using simulated Advanced LIGO noise and assuming a single detector and linear waveform polarization for simplicity, we demonstrate that our method can distinguish magnetorotational explosions throughout the Milky Way (D <~ 10kpc) and explosions driven by the neutrino and acoustic mechanisms to D <~ 2kpc. Furthermore, we show that we can differentiate between models for rotating accretion-induced collapse of massive white dwarfs and models of rotating iron core collapse with high reliability out to several kpc.
1812.03878
Giampiero Esposito Dr.
Giampiero Esposito, Elisabetta Di Grezia
One-loop analysis with nonlocal boundary conditions
17 pages, Revtex4. In the final version, the presentation in section 5 has been improved, and important References have been added
Phys. Rev. D 99, 065004 (2019)
10.1103/PhysRevD.99.065004
null
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In the eighties, Schroder studied a quantum mechanical model where the stationary states of Schrodinger's equation obey nonlocal boundary conditions on a circle in the plane. For such a problem, we perform a detailed one-loop calculation for three choices of the kernel characterizing the nonlocal boundary conditions. In such cases, the zeta(0) value is found to coincide with the one resulting from Robin boundary conditions. The detailed technique here developed may be useful for studying one-loop properties of quantum field theory and quantum gravity if nonlocal boundary conditions are imposed.
[ { "created": "Mon, 10 Dec 2018 15:35:48 GMT", "version": "v1" }, { "created": "Wed, 13 Feb 2019 12:58:24 GMT", "version": "v2" } ]
2019-03-27
[ [ "Esposito", "Giampiero", "" ], [ "Di Grezia", "Elisabetta", "" ] ]
In the eighties, Schroder studied a quantum mechanical model where the stationary states of Schrodinger's equation obey nonlocal boundary conditions on a circle in the plane. For such a problem, we perform a detailed one-loop calculation for three choices of the kernel characterizing the nonlocal boundary conditions. In such cases, the zeta(0) value is found to coincide with the one resulting from Robin boundary conditions. The detailed technique here developed may be useful for studying one-loop properties of quantum field theory and quantum gravity if nonlocal boundary conditions are imposed.
2105.04680
Deepen Garg
Deepen Garg and I. Y. Dodin
Gauge invariants of linearized gravity with a general background metric
null
Class. Quantum Gravity 39, 245003 (2022)
10.1088/1361-6382/aca067
null
gr-qc
http://creativecommons.org/licenses/by/4.0/
In linearized gravity with distributed matter, the background metric has no generic symmetries, and decomposition of the metric perturbation into global normal modes is generally impractical. This complicates the identification of the gauge-invariant part of the perturbation, which is a concern, for example, in the theory of dispersive gravitational waves whose energy--momentum must be gauge-invariant. Here, we propose how to identify the gauge-invariant part of the metric perturbation and the six independent gauge invariants \textit{per~se} for an arbitrary background metric. For the Minkowski background, the operator that projects the metric perturbation on the invariant subspace is proportional to the well-known dispersion operator of linear gravitational waves in~vacuum. For a general background, this operator is expressed in terms of the Green's operator of the vacuum wave equation. If the background is smooth, it can be found asymptotically using the inverse scale of the background metric as a small parameter.
[ { "created": "Mon, 10 May 2021 21:31:16 GMT", "version": "v1" }, { "created": "Sat, 13 Aug 2022 04:21:14 GMT", "version": "v2" }, { "created": "Fri, 4 Nov 2022 13:46:53 GMT", "version": "v3" } ]
2022-11-17
[ [ "Garg", "Deepen", "" ], [ "Dodin", "I. Y.", "" ] ]
In linearized gravity with distributed matter, the background metric has no generic symmetries, and decomposition of the metric perturbation into global normal modes is generally impractical. This complicates the identification of the gauge-invariant part of the perturbation, which is a concern, for example, in the theory of dispersive gravitational waves whose energy--momentum must be gauge-invariant. Here, we propose how to identify the gauge-invariant part of the metric perturbation and the six independent gauge invariants \textit{per~se} for an arbitrary background metric. For the Minkowski background, the operator that projects the metric perturbation on the invariant subspace is proportional to the well-known dispersion operator of linear gravitational waves in~vacuum. For a general background, this operator is expressed in terms of the Green's operator of the vacuum wave equation. If the background is smooth, it can be found asymptotically using the inverse scale of the background metric as a small parameter.
0712.0615
Christopher Pope
M.J. Perry, H. Lu and C.N. Pope
Infinite-Dimensional Symmetries of Two-Dimensional Coset Models Coupled to Gravity
27 pages
Nucl.Phys.B806:656-683,2009
10.1016/j.nuclphysb.2008.07.035
DAMTP-2007-115 MIFP-07-31
hep-th
null
In an earlier paper we studied the infinite-dimensional symmetries of symmetric-space sigma models (SSMs) in a flat two-dimensional spacetime. Here, we extend our investigation to the case of two-dimensional SSMs coupled to gravity. These theories arise from the toroidal reduction of higher-dimensional gravity and supergravities to two dimensions. We construct explicit expressions for the symmetry transformations under the affine Kac-Moody extension $\hat G$ that arises when starting from a G/H coset model. We also construct further explicit symmetry transformations that correspond to the modes L_n of a Virasoro subalgebra with $n\ge -1$.
[ { "created": "Tue, 4 Dec 2007 21:20:27 GMT", "version": "v1" } ]
2008-11-26
[ [ "Perry", "M. J.", "" ], [ "Lu", "H.", "" ], [ "Pope", "C. N.", "" ] ]
In an earlier paper we studied the infinite-dimensional symmetries of symmetric-space sigma models (SSMs) in a flat two-dimensional spacetime. Here, we extend our investigation to the case of two-dimensional SSMs coupled to gravity. These theories arise from the toroidal reduction of higher-dimensional gravity and supergravities to two dimensions. We construct explicit expressions for the symmetry transformations under the affine Kac-Moody extension $\hat G$ that arises when starting from a G/H coset model. We also construct further explicit symmetry transformations that correspond to the modes L_n of a Virasoro subalgebra with $n\ge -1$.
hep-th/0612015
Andrei Gruzinov
A. Gruzinov and M. Kleban
Causality Constrains Higher Curvature Corrections to Gravity
5 pages
Class.Quant.Grav.24:3521-3524,2007
10.1088/0264-9381/24/13/N02
null
hep-th astro-ph gr-qc
null
We show that causality constrains the sign of quartic Riemann corrections to the Einstein-Hilbert action. Our constraint constitutes a restriction on candidate theories of quantum gravity.
[ { "created": "Mon, 4 Dec 2006 19:17:10 GMT", "version": "v1" } ]
2010-10-27
[ [ "Gruzinov", "A.", "" ], [ "Kleban", "M.", "" ] ]
We show that causality constrains the sign of quartic Riemann corrections to the Einstein-Hilbert action. Our constraint constitutes a restriction on candidate theories of quantum gravity.
hep-ph/9804213
Eduard Kuraev
A.B. Arbuzov (JINR, Dubna), O. Krehl (IKF, Juelich), E.A. Kuraev, E.N. Magar, B.G. Shaikhatdenov (JINR, Dubna)
Radiative corrections to the background of $\mu\to e\gamma$ decay
11 pages, LaTeX, misprints in Eqs.(9,12,14) fixed
Phys.Lett. B432 (1998) 421-426
10.1016/S0370-2693(98)00652-2
E4-98-89
hep-ph
null
Radiative muon decay in the kinematics similar to the neutrinoless decay $\mu\to e\gamma$ is considered. Radiative corrections due to 1-loop virtual photons and emission of additional soft or hard photons are taken into account. Analytical expressions and numerical estimations are presented.
[ { "created": "Thu, 2 Apr 1998 12:27:17 GMT", "version": "v1" }, { "created": "Thu, 9 Apr 1998 06:27:44 GMT", "version": "v2" }, { "created": "Thu, 14 May 1998 12:45:43 GMT", "version": "v3" } ]
2009-10-31
[ [ "Arbuzov", "A. B.", "", "JINR, Dubna" ], [ "Krehl", "O.", "", "IKF, Juelich" ], [ "Kuraev", "E. A.", "", "JINR, Dubna" ], [ "Magar", "E. N.", "", "JINR, Dubna" ], [ "Shaikhatdenov", "B. G.", "", "JINR, Dubna" ] ]
Radiative muon decay in the kinematics similar to the neutrinoless decay $\mu\to e\gamma$ is considered. Radiative corrections due to 1-loop virtual photons and emission of additional soft or hard photons are taken into account. Analytical expressions and numerical estimations are presented.
gr-qc/0107051
Carlos F. Sopuerta
Philippos Papadopoulos and Carlos F. Sopuerta (RCG, Portsmouth U.)
Evolution systems for non-linear perturbations of background geometries
12 pages, 3 figures, Revtex v3.0. Revised version to appear in Physical Review D
Phys.Rev. D65 (2002) 044008
10.1103/PhysRevD.65.044008
null
gr-qc
null
The formulation of the initial value problem for the Einstein equations is at the heart of obtaining interesting new solutions using numerical relativity and still very much under theoretical and applied scrutiny. We develop a specialised background geometry approach, for systems where there is non-trivial a priori knowledge about the spacetime under study. The background three-geometry and associated connection are used to express the ADM evolution equations in terms of physical non-linear deviations from that background. Expressing the equations in first order form leads naturally to a system closely linked to the Einstein-Christoffel system, introduced by Anderson and York, and sharing its hyperbolicity properties. We illustrate the drastic alteration of the source structure of the equations, and discuss why this is likely to be numerically advantageous.
[ { "created": "Fri, 13 Jul 2001 15:16:18 GMT", "version": "v1" }, { "created": "Wed, 17 Oct 2001 17:22:36 GMT", "version": "v2" } ]
2009-11-07
[ [ "Papadopoulos", "Philippos", "", "RCG, Portsmouth U." ], [ "Sopuerta", "Carlos F.", "", "RCG, Portsmouth U." ] ]
The formulation of the initial value problem for the Einstein equations is at the heart of obtaining interesting new solutions using numerical relativity and still very much under theoretical and applied scrutiny. We develop a specialised background geometry approach, for systems where there is non-trivial a priori knowledge about the spacetime under study. The background three-geometry and associated connection are used to express the ADM evolution equations in terms of physical non-linear deviations from that background. Expressing the equations in first order form leads naturally to a system closely linked to the Einstein-Christoffel system, introduced by Anderson and York, and sharing its hyperbolicity properties. We illustrate the drastic alteration of the source structure of the equations, and discuss why this is likely to be numerically advantageous.
hep-th/9712053
Ywkim
Yong-Wan Kim and Young-Jai Park
Quantization of spontaneously broken gauge theory based on the BFT-BFV Formalism
16 pages, latex, final version published in Mod. Phys. Lett. A
Mod.Phys.Lett. A13 (1998) 1201-1212
10.1142/S0217732398001273
HD-THEP-97-29, SOGANG-HEP 223/97
hep-th
null
We quantize the spontaneously broken abelian U(1) Higgs model by using the improved BFT and BFV formalisms. We have constructed the BFT physical fields, and obtain the first class observables including the Hamiltonian in terms of these fields. We have also explicitly shown that there are exact form invariances between the second class and first class quantities. Then, according to the BFV formalism, we have derived the corresponding Lagrangian having U(1) gauge symmetry. We also discuss at the classical level how one easily gets the first class Lagrangian from the symmetry-broken second class Lagrangian.
[ { "created": "Fri, 5 Dec 1997 03:52:49 GMT", "version": "v1" }, { "created": "Mon, 11 May 1998 08:34:58 GMT", "version": "v2" }, { "created": "Fri, 26 Jun 1998 05:45:12 GMT", "version": "v3" } ]
2009-10-30
[ [ "Kim", "Yong-Wan", "" ], [ "Park", "Young-Jai", "" ] ]
We quantize the spontaneously broken abelian U(1) Higgs model by using the improved BFT and BFV formalisms. We have constructed the BFT physical fields, and obtain the first class observables including the Hamiltonian in terms of these fields. We have also explicitly shown that there are exact form invariances between the second class and first class quantities. Then, according to the BFV formalism, we have derived the corresponding Lagrangian having U(1) gauge symmetry. We also discuss at the classical level how one easily gets the first class Lagrangian from the symmetry-broken second class Lagrangian.
0903.3410
Eduardo Pont\'on
Hooman Davoudiasl and Eduardo Ponton
B-Decay Signatures of Warped Top-Condensation
4 pages
Phys.Lett.B680:247-250,2009
10.1016/j.physletb.2009.09.002
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We point out that the light radion phi in a recently proposed Warped Top-Condensation Model, can provide distinct signatures in b -> s phi, where the on-shell phi can decay with displaced vertices. We find that some of the parameter space of these models is constrained by B-meson and astrophysical data. Future B-decay measurements can lead to the discovery of the WTCM.
[ { "created": "Thu, 19 Mar 2009 20:02:02 GMT", "version": "v1" } ]
2014-11-18
[ [ "Davoudiasl", "Hooman", "" ], [ "Ponton", "Eduardo", "" ] ]
We point out that the light radion phi in a recently proposed Warped Top-Condensation Model, can provide distinct signatures in b -> s phi, where the on-shell phi can decay with displaced vertices. We find that some of the parameter space of these models is constrained by B-meson and astrophysical data. Future B-decay measurements can lead to the discovery of the WTCM.
hep-th/0604192
Sugumi Kanno
Sugumi Kanno, Jiro Soda
Lorentz Violating Inflation
7 pages, 1 figure
Phys.Rev. D74 (2006) 063505
10.1103/PhysRevD.74.063505
null
hep-th astro-ph gr-qc hep-ph
null
We explore the impact of Lorentz violation on the inflationary scenario. More precisely, we study the inflationary scenario in the scalar-vector-tensor theory where the vector is constrained to be unit and time like. It turns out that the Lorentz violating vector affects the dynamics of the chaotic inflationary model and divides the inflationary stage into two parts; the Lorentz violating stage and the standard slow roll stage. We show that the universe is expanding as an exact de Sitter spacetime in the Lorentz violating stage although the inflaton field is rolling down the potential. Much more interestingly, we find exact Lorentz violating inflationary solutions in the absence of the inflaton potential. In this case, the inflation is completely associated with the Lorentz violation. We also mention some consequences of Lorentz violating inflation which can be tested by observations.
[ { "created": "Wed, 26 Apr 2006 02:14:34 GMT", "version": "v1" } ]
2009-11-11
[ [ "Kanno", "Sugumi", "" ], [ "Soda", "Jiro", "" ] ]
We explore the impact of Lorentz violation on the inflationary scenario. More precisely, we study the inflationary scenario in the scalar-vector-tensor theory where the vector is constrained to be unit and time like. It turns out that the Lorentz violating vector affects the dynamics of the chaotic inflationary model and divides the inflationary stage into two parts; the Lorentz violating stage and the standard slow roll stage. We show that the universe is expanding as an exact de Sitter spacetime in the Lorentz violating stage although the inflaton field is rolling down the potential. Much more interestingly, we find exact Lorentz violating inflationary solutions in the absence of the inflaton potential. In this case, the inflation is completely associated with the Lorentz violation. We also mention some consequences of Lorentz violating inflation which can be tested by observations.
2204.13358
Suresh C. Jaryal
Suresh C. Jaryal and Ayan Chatterjee
Spherical Gravitational Collapse in 4D Einstein-Gauss-Bonnet theory
25 pages, 22 figures
null
null
null
gr-qc
http://creativecommons.org/licenses/by/4.0/
In this paper, we study spherical gravitational collapse of inhomogeneous pressureless matter in a well-defined $n \rightarrow4$d limit of the Einstein-Gauss-Bonnet gravity. The collapse leads to either a black hole or a massive naked singularity depending on time of formation of trapped surfaces. More precisely, horizon formation and its time development is controlled by relative strengths of the Gauss-Bonnet coupling $(\lambda)$ and the Misner-Sharp mass function $F(r,t)$ of collapsing sphere. We find that, if there is no trapped surfaces on the initial Cauchy hypersurface and $F(r,t)< 2\sqrt{\lambda}$, the central singularity is massive and naked. When this inequality is equalised or reversed, the central singularity is always censored by spacelike/timelike spherical marginally trapped surface of topology $S^{2}\times \mathbb{R}$, which eventually becomes null and coincides with the event horizon at equilibrium. These conclusions are verified for a wide class of mass profiles admitting different initial velocity conditions. Hence, our result implies that the $4$d Einstein-Gauss-Bonnet generically violates the cosmic censorship conjuncture. Further implications of this violation from the perspective of visibility of causal signals from the spacetime singularity are also discussed.
[ { "created": "Thu, 28 Apr 2022 09:00:27 GMT", "version": "v1" }, { "created": "Mon, 25 Jul 2022 15:03:05 GMT", "version": "v2" }, { "created": "Fri, 4 Nov 2022 12:24:22 GMT", "version": "v3" } ]
2022-11-07
[ [ "Jaryal", "Suresh C.", "" ], [ "Chatterjee", "Ayan", "" ] ]
In this paper, we study spherical gravitational collapse of inhomogeneous pressureless matter in a well-defined $n \rightarrow4$d limit of the Einstein-Gauss-Bonnet gravity. The collapse leads to either a black hole or a massive naked singularity depending on time of formation of trapped surfaces. More precisely, horizon formation and its time development is controlled by relative strengths of the Gauss-Bonnet coupling $(\lambda)$ and the Misner-Sharp mass function $F(r,t)$ of collapsing sphere. We find that, if there is no trapped surfaces on the initial Cauchy hypersurface and $F(r,t)< 2\sqrt{\lambda}$, the central singularity is massive and naked. When this inequality is equalised or reversed, the central singularity is always censored by spacelike/timelike spherical marginally trapped surface of topology $S^{2}\times \mathbb{R}$, which eventually becomes null and coincides with the event horizon at equilibrium. These conclusions are verified for a wide class of mass profiles admitting different initial velocity conditions. Hence, our result implies that the $4$d Einstein-Gauss-Bonnet generically violates the cosmic censorship conjuncture. Further implications of this violation from the perspective of visibility of causal signals from the spacetime singularity are also discussed.
1101.5686
Oleg Evnin
Oleg Evnin
Randomized Wilson loops, reduced models and the large D expansion
16 pages; v3: commentary further expanded, published version
Nucl. Phys. B 853 (2011) 461--474
10.1016/j.nuclphysb.2011.08.007
null
hep-th hep-lat
http://creativecommons.org/licenses/by-nc-sa/3.0/
Reduced models are matrix integrals believed to be related to the large N limit of gauge theories. These integrals are known to simplify further when the number of matrices D (corresponding to the number of space-time dimensions in the gauge theory) becomes large. Even though this limit appears to be of little use for computing the standard rectangular Wilson loop (which always singles out two directions out of D), a meaningful large D limit can be defined for a randomized Wilson loop (in which all D directions contribute equally). In this article, a proof-of-concept demonstration of this approach is given for the simplest reduced model (the original Eguchi-Kawai model) and the simplest randomization of the Wilson loop (Brownian sum over random walks). The resulting averaged Wilson loop displays a scale behavior strongly reminiscent of the area law.
[ { "created": "Sat, 29 Jan 2011 09:16:20 GMT", "version": "v1" }, { "created": "Tue, 15 Mar 2011 03:27:42 GMT", "version": "v2" }, { "created": "Wed, 24 Aug 2011 05:39:05 GMT", "version": "v3" } ]
2015-05-27
[ [ "Evnin", "Oleg", "" ] ]
Reduced models are matrix integrals believed to be related to the large N limit of gauge theories. These integrals are known to simplify further when the number of matrices D (corresponding to the number of space-time dimensions in the gauge theory) becomes large. Even though this limit appears to be of little use for computing the standard rectangular Wilson loop (which always singles out two directions out of D), a meaningful large D limit can be defined for a randomized Wilson loop (in which all D directions contribute equally). In this article, a proof-of-concept demonstration of this approach is given for the simplest reduced model (the original Eguchi-Kawai model) and the simplest randomization of the Wilson loop (Brownian sum over random walks). The resulting averaged Wilson loop displays a scale behavior strongly reminiscent of the area law.
hep-ph/9409304
null
Kenneth Lane
Technicolor and Precision Tests of the Electroweak Interactions
(Invited talk given at ICHEP, Glasgow, July 1994) 5 pages in LATEX (ichep style file appended to end of latex file). Boston University Preprint BUHEP--94-24
null
null
null
hep-ph
null
Precision electroweak measurements have been claimed to eliminate almost all models of technicolor. We show that the assumptions made to calculate the oblique parameters $S$,$T$,$U$ apply to QCD--like technicolor models which were ruled out long ago on much firmer grounds. These assumptions are invalid in modern ``walking'' technicolor models.
[ { "created": "Tue, 13 Sep 1994 21:33:44 GMT", "version": "v1" } ]
2007-05-23
[ [ "Lane", "Kenneth", "" ] ]
Precision electroweak measurements have been claimed to eliminate almost all models of technicolor. We show that the assumptions made to calculate the oblique parameters $S$,$T$,$U$ apply to QCD--like technicolor models which were ruled out long ago on much firmer grounds. These assumptions are invalid in modern ``walking'' technicolor models.
1711.02924
Xingyu Guo
Xingyu Guo and Pengfei Zhuang
Out-of-equilibrium chiral and $U_A(1)$ symmetry breaking in electromagnetic fields
7 pages, 1 figure, accepted by Physical Review D
Phys. Rev. D 98, 016007 (2018)
10.1103/PhysRevD.98.016007
null
hep-th hep-ph
http://creativecommons.org/licenses/by/4.0/
We systematically study quantum effect on chiral and $U_A(1)$ symmetry breaking under external electromagnetic fields in the frame of equal-time Wigner function formalism. We derive the transport and constraint equations for the quark distribution functions and the chiral and pion condensates in a Nambu--Jona-Lasinio model. By taking semi-classical expansion of the equations, chiral symmetry is broken at classical level, while $U_A(1)$ symmetry breaking happens only at quantum level. Beyond quasi-particle approximation, the quark off-shell effect leads to strong oscillation for the chiral and pion condensates.
[ { "created": "Wed, 8 Nov 2017 12:36:35 GMT", "version": "v1" }, { "created": "Wed, 27 Jun 2018 03:07:02 GMT", "version": "v2" } ]
2018-07-25
[ [ "Guo", "Xingyu", "" ], [ "Zhuang", "Pengfei", "" ] ]
We systematically study quantum effect on chiral and $U_A(1)$ symmetry breaking under external electromagnetic fields in the frame of equal-time Wigner function formalism. We derive the transport and constraint equations for the quark distribution functions and the chiral and pion condensates in a Nambu--Jona-Lasinio model. By taking semi-classical expansion of the equations, chiral symmetry is broken at classical level, while $U_A(1)$ symmetry breaking happens only at quantum level. Beyond quasi-particle approximation, the quark off-shell effect leads to strong oscillation for the chiral and pion condensates.
1606.00508
Fernando Marchesano
Federico Carta, Fernando Marchesano, Wieland Staessens, Gianluca Zoccarato
Open string multi-branched and Kahler potentials
60 pages, one figure. v2 minor corrections and references added
null
10.1007/JHEP09(2016)062
IFT-UAM/CSIC-16-052
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider type II string compactifications on Calabi-Yau orientifolds with fluxes and D-branes, and analyse the F-term scalar potential that simultaneously involves closed and open string modes. In type IIA models with D6-branes such potential can be directly computed by integrating out Minkowski three-forms. The result shows a multi-branched structure along the space of lifted open string moduli, in which discrete shifts in special Lagrangian and Wilson line deformations are compensated by changes in the RR flux quanta. The same sort of discrete shift symmetries are present in the superpotential and constrain the Kahler potential. As for the latter, inclusion of open string moduli breaks the factorisation between complex structure and Kahler moduli spaces. Nevertheless, the 4d Kahler metrics display a set of interesting relations that allow to rederive the scalar potential analytically. Similar results hold for type IIB flux compactifications with D7-brane Wilson lines.
[ { "created": "Thu, 2 Jun 2016 00:01:10 GMT", "version": "v1" }, { "created": "Mon, 18 Jul 2016 11:19:29 GMT", "version": "v2" } ]
2016-10-12
[ [ "Carta", "Federico", "" ], [ "Marchesano", "Fernando", "" ], [ "Staessens", "Wieland", "" ], [ "Zoccarato", "Gianluca", "" ] ]
We consider type II string compactifications on Calabi-Yau orientifolds with fluxes and D-branes, and analyse the F-term scalar potential that simultaneously involves closed and open string modes. In type IIA models with D6-branes such potential can be directly computed by integrating out Minkowski three-forms. The result shows a multi-branched structure along the space of lifted open string moduli, in which discrete shifts in special Lagrangian and Wilson line deformations are compensated by changes in the RR flux quanta. The same sort of discrete shift symmetries are present in the superpotential and constrain the Kahler potential. As for the latter, inclusion of open string moduli breaks the factorisation between complex structure and Kahler moduli spaces. Nevertheless, the 4d Kahler metrics display a set of interesting relations that allow to rederive the scalar potential analytically. Similar results hold for type IIB flux compactifications with D7-brane Wilson lines.
2406.01654
Eugene Bogomolny
Eugene Bogomolny
Positive-Energy Dirac Particles and Dark Matter
23 pages
Universe 10, 222 (2024)
10.3390/universe10050222
null
hep-th gr-qc hep-ph
http://creativecommons.org/licenses/by/4.0/
The relativistic positive-energy wave equation proposed by P. Dirac in 1971 is an old but largely forgotten subject. The purpose of this note is to speculate that particles described by this equation (called here Dirac particles) are natural candidates for the dark matter. The reasoning is based on a fact that the internal structure of such particles simply prohibits their interaction with electromagnetic fields (at least with the minimal coupling) which is exactly what is required for dark matter. Dirac particles have quite unusual properties. In particular, they are transformed by an infinite-dimensional representation of the homogeneous Lorentz group, which clearly distinguishes them from all known elementary particles described by finite-dimensional representations and hints to a physics beyond the Standard Model. To clarify the topic, a brief review of the main features of {the above-mentioned} Dirac equation is given.
[ { "created": "Mon, 3 Jun 2024 16:32:29 GMT", "version": "v1" } ]
2024-06-05
[ [ "Bogomolny", "Eugene", "" ] ]
The relativistic positive-energy wave equation proposed by P. Dirac in 1971 is an old but largely forgotten subject. The purpose of this note is to speculate that particles described by this equation (called here Dirac particles) are natural candidates for the dark matter. The reasoning is based on a fact that the internal structure of such particles simply prohibits their interaction with electromagnetic fields (at least with the minimal coupling) which is exactly what is required for dark matter. Dirac particles have quite unusual properties. In particular, they are transformed by an infinite-dimensional representation of the homogeneous Lorentz group, which clearly distinguishes them from all known elementary particles described by finite-dimensional representations and hints to a physics beyond the Standard Model. To clarify the topic, a brief review of the main features of {the above-mentioned} Dirac equation is given.
0808.0761
Hans Jockers
Hans Jockers and Masoud Soroush
Effective superpotentials for compact D5-brane Calabi-Yau geometries
55 pages; v2: references added, typos corrected
Commun.Math.Phys.290:249-290,2009
10.1007/s00220-008-0727-7
SU-ITP-08/14
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
For compact Calabi-Yau geometries with D5-branes we study N=1 effective superpotentials depending on both open- and closed-string fields. We develop methods to derive the open/closed Picard-Fuchs differential equations, which control D5-brane deformations as well as complex structure deformations of the compact Calabi-Yau space. Their solutions encode the flat open/closed coordinates and the effective superpotential. For two explicit examples of compact D5-brane Calabi-Yau hypersurface geometries we apply our techniques and express the calculated superpotentials in terms of flat open/closed coordinates. By evaluating these superpotentials at their critical points we reproduce the domain wall tensions that have recently appeared in the literature. Finally we extract orbifold disk invariants from the superpotentials, which, up to overall numerical normalizations, correspond to orbifold disk Gromov-Witten invariants in the mirror geometry.
[ { "created": "Wed, 6 Aug 2008 02:13:21 GMT", "version": "v1" }, { "created": "Thu, 21 Aug 2008 16:36:23 GMT", "version": "v2" } ]
2009-12-07
[ [ "Jockers", "Hans", "" ], [ "Soroush", "Masoud", "" ] ]
For compact Calabi-Yau geometries with D5-branes we study N=1 effective superpotentials depending on both open- and closed-string fields. We develop methods to derive the open/closed Picard-Fuchs differential equations, which control D5-brane deformations as well as complex structure deformations of the compact Calabi-Yau space. Their solutions encode the flat open/closed coordinates and the effective superpotential. For two explicit examples of compact D5-brane Calabi-Yau hypersurface geometries we apply our techniques and express the calculated superpotentials in terms of flat open/closed coordinates. By evaluating these superpotentials at their critical points we reproduce the domain wall tensions that have recently appeared in the literature. Finally we extract orbifold disk invariants from the superpotentials, which, up to overall numerical normalizations, correspond to orbifold disk Gromov-Witten invariants in the mirror geometry.
1206.5551
Muneto Nitta
Muneto Nitta
Knotted instantons from annihilations of monopole-instanton complex
20 pages, 9 figures, v2: published version
Int.J.Mod.Phys.A28:1350172,2013
10.1142/S0217751X13501728
null
hep-th hep-ph math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Monopoles and instantons are sheets (membranes) and strings in d=5+1, respectively, and instanton strings can terminate on monopole sheets. We consider a pair of monopole and anti-monopole sheets which is unstable to decay and results in a creation of closed instanton strings. We show that when an instanton string is stretched between the monopole sheets, there remains a new topological soliton of codimension five after the pair annihilation, i.e., a twisted closed instanton string or a knotted instanton.
[ { "created": "Sun, 24 Jun 2012 23:38:08 GMT", "version": "v1" }, { "created": "Thu, 2 Jan 2014 17:40:28 GMT", "version": "v2" } ]
2014-01-03
[ [ "Nitta", "Muneto", "" ] ]
Monopoles and instantons are sheets (membranes) and strings in d=5+1, respectively, and instanton strings can terminate on monopole sheets. We consider a pair of monopole and anti-monopole sheets which is unstable to decay and results in a creation of closed instanton strings. We show that when an instanton string is stretched between the monopole sheets, there remains a new topological soliton of codimension five after the pair annihilation, i.e., a twisted closed instanton string or a knotted instanton.
gr-qc/0104033
Norichika Sago
Norichika Sago, Yoshiaki Himemoto and Misao Sasaki
Quantum fluctuations in brane-world inflation without inflaton on the brane
12pages, 1 figure, typos corrected, a couple of paragraphs modified but no major change in the text, final version to be published in PRD
Phys.Rev.D65:024014,2002
10.1103/PhysRevD.65.024014
OU-TAP 162
gr-qc astro-ph hep-ph hep-th
null
A Randall-Sundrum type brane-cosmological model in which slow-roll inflation on the brane is driven solely by a bulk scalar field was recently proposed by Himemoto and Sasaki. We analyze their model in detail and calculate the quantum fluctuations of the bulk scalar field $\phi$ with $m^2=V''(\phi)$. We decompose the bulk scalar field into the infinite mass spectrum of 4-dimensional fields; the field with the smallest mass-square, called the zero-mode, and the Kaluza-Klein modes above it with a mass gap. We find the zero-mode dominance of the classical solution holds if $|m^2|\bar\ell^2\ll1$, where $\bar{\ell}$ is the curvature radius of the effectively anti-de Sitter bulk, but it is violated if $|m^2|\bar\ell^2\gg1$, though the violation is very small. Then we evaluate the vacuum expectation value $<\delta\phi^2>$ on the brane. We find the zero-mode contribution completely dominates if $|m^2|\bar{\ell}^2\ll 1$ similar to the case of classical background. In contrast, we find the Kaluza-Klein contribution is small but non-negligible if the value of $|m^2|\bar{\ell}^2$ is large.
[ { "created": "Thu, 12 Apr 2001 12:00:42 GMT", "version": "v1" }, { "created": "Tue, 25 Sep 2001 08:26:47 GMT", "version": "v2" }, { "created": "Fri, 9 Nov 2001 11:56:19 GMT", "version": "v3" } ]
2009-10-09
[ [ "Sago", "Norichika", "" ], [ "Himemoto", "Yoshiaki", "" ], [ "Sasaki", "Misao", "" ] ]
A Randall-Sundrum type brane-cosmological model in which slow-roll inflation on the brane is driven solely by a bulk scalar field was recently proposed by Himemoto and Sasaki. We analyze their model in detail and calculate the quantum fluctuations of the bulk scalar field $\phi$ with $m^2=V''(\phi)$. We decompose the bulk scalar field into the infinite mass spectrum of 4-dimensional fields; the field with the smallest mass-square, called the zero-mode, and the Kaluza-Klein modes above it with a mass gap. We find the zero-mode dominance of the classical solution holds if $|m^2|\bar\ell^2\ll1$, where $\bar{\ell}$ is the curvature radius of the effectively anti-de Sitter bulk, but it is violated if $|m^2|\bar\ell^2\gg1$, though the violation is very small. Then we evaluate the vacuum expectation value $<\delta\phi^2>$ on the brane. We find the zero-mode contribution completely dominates if $|m^2|\bar{\ell}^2\ll 1$ similar to the case of classical background. In contrast, we find the Kaluza-Klein contribution is small but non-negligible if the value of $|m^2|\bar{\ell}^2$ is large.
hep-th/0605292
Steven Gubser
Joshua J. Friess, Steven S. Gubser, and Georgios Michalogiorgakis
Dissipation from a heavy quark moving through N=4 super-Yang-Mills plasma
17 pages, 2 figures. v2: reference added, other minor improvements. v3: improved the phrasing describing directional structures
JHEP 0609 (2006) 072
10.1088/1126-6708/2006/09/072
PUPT-2199
hep-th hep-ph
null
Using AdS/CFT, we compute the Fourier space profile of <tr F^2> generated by a heavy quark moving through a thermal plasma of strongly coupled N=4 super-Yang-Mills theory. We find evidence of a wake whose description includes gauge fields with large momenta. We comment on the possible relevance of our results to relativistic heavy ion collisions.
[ { "created": "Wed, 31 May 2006 15:51:47 GMT", "version": "v1" }, { "created": "Fri, 2 Jun 2006 17:07:56 GMT", "version": "v2" }, { "created": "Wed, 9 Aug 2006 12:06:10 GMT", "version": "v3" } ]
2009-11-11
[ [ "Friess", "Joshua J.", "" ], [ "Gubser", "Steven S.", "" ], [ "Michalogiorgakis", "Georgios", "" ] ]
Using AdS/CFT, we compute the Fourier space profile of <tr F^2> generated by a heavy quark moving through a thermal plasma of strongly coupled N=4 super-Yang-Mills theory. We find evidence of a wake whose description includes gauge fields with large momenta. We comment on the possible relevance of our results to relativistic heavy ion collisions.
hep-th/9604109
Dr P. K. Panigrahi
N. Gurappa, C. Nagaraja Kumar and Prasanta. K. Panigrahi
New Exactly and Conditionally Exactly Solvable N-Body Problems in One Dimension
10 pages, latex, no figures
Mod. Phys. Lett. A11 (1996) 1737
10.1142/S0217732396001727
null
hep-th
null
We study a class of Calogero-Sutherland type one dimensional N-body quantum mechanical systems, with potentials given by $$ V( x_1, x_2, \cdots x_N) = \sum_{i <j} {g \over {(x_i - x_j)^2}} - \frac{g^{\prime}}{\sum_{i<j}(x_i - x_j)^2} + U(\sqrt{\sum_{i<j}(x_i - x_j)^2}),$$ where $U(\sqrt{\sum_{i<j}(x_i - x_j)^2})$'s are of specific form. It is shown that, only for a few choices of $U$, the eigenvalue problems can be solved {\it exactly}, for arbitrary $g^{\prime}$. The eigen spectra of these Hamiltonians, when $g^{\prime} \ne 0$, are non-degenerate and the scattering phase shifts are found to be energy dependent. It is further pointed out that, the eigenvalue problems are amenable to solution for wider choices of $U$, if $g^{\prime}$ is conveniently fixed. These conditionally exactly solvable problems also do not exhibit energy degeneracy and the scattering phase shifts can be computed {\it only} for a specific partial wave.
[ { "created": "Fri, 19 Apr 1996 05:05:40 GMT", "version": "v1" } ]
2015-06-26
[ [ "Gurappa", "N.", "" ], [ "Kumar", "C. Nagaraja", "" ], [ "Panigrahi", "Prasanta. K.", "" ] ]
We study a class of Calogero-Sutherland type one dimensional N-body quantum mechanical systems, with potentials given by $$ V( x_1, x_2, \cdots x_N) = \sum_{i <j} {g \over {(x_i - x_j)^2}} - \frac{g^{\prime}}{\sum_{i<j}(x_i - x_j)^2} + U(\sqrt{\sum_{i<j}(x_i - x_j)^2}),$$ where $U(\sqrt{\sum_{i<j}(x_i - x_j)^2})$'s are of specific form. It is shown that, only for a few choices of $U$, the eigenvalue problems can be solved {\it exactly}, for arbitrary $g^{\prime}$. The eigen spectra of these Hamiltonians, when $g^{\prime} \ne 0$, are non-degenerate and the scattering phase shifts are found to be energy dependent. It is further pointed out that, the eigenvalue problems are amenable to solution for wider choices of $U$, if $g^{\prime}$ is conveniently fixed. These conditionally exactly solvable problems also do not exhibit energy degeneracy and the scattering phase shifts can be computed {\it only} for a specific partial wave.
2203.14468
Dana Jones
Dana Jones, Ling Sun, Julian Carlin, Liam Dunn, Meg Millhouse, Hannah Middleton, Patrick Meyers, Patrick Clearwater, Deeksha Beniwal, Lucy Strang, Andr\'es Vargas, Andrew Melatos
Validating continuous gravitational-wave candidates from a semicoherent search using Doppler modulation and an effective point spread function
24 pages, 15 figures
null
10.1103/PhysRevD.106.123011
null
gr-qc astro-ph.IM
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Following up large numbers of candidates in continuous gravitational wave searches presents a challenge, particularly in regard to computational power and the time required to manually scrutinize each of the candidates. It is important to design and test good follow-up procedures that are safe (i.e., minimize false dismissals) and computationally efficient across many search configurations. We investigate two follow-up procedures, or "vetoes," both of which exploit the Doppler modulation predicted in astrophysical signals. In particular, we introduce the concept of using an effective point spread function as part of our veto criteria. We take advantage of a well-established semicoherent search algorithm based on a hidden Markov model to study various search configurations and to generalize the veto criteria by considering the overall veto performance in terms of efficiency and safety. The results can serve as a guideline for follow-up studies in future continuous gravitational wave searches using a hidden Markov model algorithm. The results also apply qualitatively to other semicoherent search algorithms.
[ { "created": "Mon, 28 Mar 2022 03:16:47 GMT", "version": "v1" }, { "created": "Wed, 9 Nov 2022 00:18:18 GMT", "version": "v2" } ]
2022-12-28
[ [ "Jones", "Dana", "" ], [ "Sun", "Ling", "" ], [ "Carlin", "Julian", "" ], [ "Dunn", "Liam", "" ], [ "Millhouse", "Meg", "" ], [ "Middleton", "Hannah", "" ], [ "Meyers", "Patrick", "" ], [ "Clearwater", "Patrick", "" ], [ "Beniwal", "Deeksha", "" ], [ "Strang", "Lucy", "" ], [ "Vargas", "Andrés", "" ], [ "Melatos", "Andrew", "" ] ]
Following up large numbers of candidates in continuous gravitational wave searches presents a challenge, particularly in regard to computational power and the time required to manually scrutinize each of the candidates. It is important to design and test good follow-up procedures that are safe (i.e., minimize false dismissals) and computationally efficient across many search configurations. We investigate two follow-up procedures, or "vetoes," both of which exploit the Doppler modulation predicted in astrophysical signals. In particular, we introduce the concept of using an effective point spread function as part of our veto criteria. We take advantage of a well-established semicoherent search algorithm based on a hidden Markov model to study various search configurations and to generalize the veto criteria by considering the overall veto performance in terms of efficiency and safety. The results can serve as a guideline for follow-up studies in future continuous gravitational wave searches using a hidden Markov model algorithm. The results also apply qualitatively to other semicoherent search algorithms.
hep-th/9211101
null
Paulo F.Bedaque and Ashok Das
\delta-expansion and self-consistent calculation
8 pages, UR-1289
null
null
null
hep-th hep-ph
null
We compare results from $\delta$--expansion, in simple theories, with self--consistent calculations as well as calculations involving the principle of minimal sensitivity. We show that the latter methods give relatively more accurate results order by order.
[ { "created": "Tue, 24 Nov 1992 01:03:00 GMT", "version": "v1" } ]
2007-05-23
[ [ "Bedaque", "Paulo F.", "" ], [ "Das", "Ashok", "" ] ]
We compare results from $\delta$--expansion, in simple theories, with self--consistent calculations as well as calculations involving the principle of minimal sensitivity. We show that the latter methods give relatively more accurate results order by order.
hep-th/9704141
Sabbir A. Rahman
Sabbir Rahman
Consistency of Quantum Background Independence
23 pages, phyzzx
null
null
MIT-CTP-2626
hep-th
null
We analyse higher order background independence conditions arising from multiple commutators of background deformations in quantum closed string field theory. The conditions are shown to amount to a vanishing theorem for $\Delta_S$ cohomology classes. This holds by virtue of the existence of moduli spaces of higher genus surfaces with two kinds of punctures. Our result is a generalisation of a previous genus zero analysis relevant to the classical theory.
[ { "created": "Sat, 19 Apr 1997 23:21:36 GMT", "version": "v1" } ]
2007-05-23
[ [ "Rahman", "Sabbir", "" ] ]
We analyse higher order background independence conditions arising from multiple commutators of background deformations in quantum closed string field theory. The conditions are shown to amount to a vanishing theorem for $\Delta_S$ cohomology classes. This holds by virtue of the existence of moduli spaces of higher genus surfaces with two kinds of punctures. Our result is a generalisation of a previous genus zero analysis relevant to the classical theory.
1312.1796
Hongshi Zong
Yi-lun Du, Zhu-fang Cui, Yong-hui Xia and Hong-shi Zong
Discussions on the crossover property within the Nambu--Jona-Lasinio model
null
Phys. Rev. D 88, 114019 (2013)
10.1103/PhysRevD.88.114019
null
hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this paper, chiral symmetry breaking and its restoration are investigated in the mean field approximation of Nambu--Jona-Lasinio model. A first-order phase transition exists at low temperature, but is smeared out at high temperature. We discuss the rationality of using susceptibilities as the criteria to determine the crossover region as well as the critical point. Based on our results, it is found that to define a critical band instead of an exclusive line in this region might be a more suitable choice.
[ { "created": "Fri, 6 Dec 2013 08:17:42 GMT", "version": "v1" } ]
2013-12-09
[ [ "Du", "Yi-lun", "" ], [ "Cui", "Zhu-fang", "" ], [ "Xia", "Yong-hui", "" ], [ "Zong", "Hong-shi", "" ] ]
In this paper, chiral symmetry breaking and its restoration are investigated in the mean field approximation of Nambu--Jona-Lasinio model. A first-order phase transition exists at low temperature, but is smeared out at high temperature. We discuss the rationality of using susceptibilities as the criteria to determine the crossover region as well as the critical point. Based on our results, it is found that to define a critical band instead of an exclusive line in this region might be a more suitable choice.
hep-th/0307155
Neda Sadooghi
Farhad Ardalan and Neda Sadooghi
Planar and Nonplanar Konishi Anomalies and Effective Superpotential for Noncommutative N=1 Supersymmetric U(1)
LaTeX, 36 pages. Version 2: Typos Corrected. Version 3: Extensively revised version, 42 pages, to be published in Int. J. Mod. Phys. A. (2005)
Int.J.Mod.Phys. A20 (2005) 2859-2882
10.1142/S0217751X05021312
IPM/P-2003/034
hep-th
null
The Konishi anomalies for noncommutative N=1 supersymmetric U(1) gauge theory arising from planar and nonplanar diagrams are calculated. Whereas planar Konishi anomaly is the expected \star-deformation of the commutative anomaly, nonplanar anomaly reflects the important features of nonplanar diagrams of noncommutative gauge theories, such as UV/IR mixing and the appearance of nonlocal open Wilson lines. We use the planar and nonplanar Konishi anomalies to calculate the effective superpotential of the theory. In the limit of vanishing |\Theta p|, with \Theta the noncommutativity parameter, the noncommutative effective superpotential depends on a gauge invariant superfield, which includes supersymmetric Wilson lines, and has nontrivial dependence on the gauge field supermultiplet.
[ { "created": "Thu, 17 Jul 2003 14:53:08 GMT", "version": "v1" }, { "created": "Wed, 30 Jul 2003 15:57:22 GMT", "version": "v2" }, { "created": "Thu, 20 Jan 2005 10:47:36 GMT", "version": "v3" } ]
2009-11-10
[ [ "Ardalan", "Farhad", "" ], [ "Sadooghi", "Neda", "" ] ]
The Konishi anomalies for noncommutative N=1 supersymmetric U(1) gauge theory arising from planar and nonplanar diagrams are calculated. Whereas planar Konishi anomaly is the expected \star-deformation of the commutative anomaly, nonplanar anomaly reflects the important features of nonplanar diagrams of noncommutative gauge theories, such as UV/IR mixing and the appearance of nonlocal open Wilson lines. We use the planar and nonplanar Konishi anomalies to calculate the effective superpotential of the theory. In the limit of vanishing |\Theta p|, with \Theta the noncommutativity parameter, the noncommutative effective superpotential depends on a gauge invariant superfield, which includes supersymmetric Wilson lines, and has nontrivial dependence on the gauge field supermultiplet.
gr-qc/0401072
Muhammad Sharif
M. Sharif
Momentum and Angular Momentum in the Expanding Universe
null
Astrophys.Space Sci. 262 (1999) 297-304
null
null
gr-qc
null
A new approach has been used to evaluate the momentum and angular momentum of the isotropic and homogeneous cosmological models. It is shown that the results obtained for momentum exactly coincide with those already available in the literature. However, the angular momentum expression coincides only for the closed Friedmann model.
[ { "created": "Fri, 16 Jan 2004 12:23:40 GMT", "version": "v1" } ]
2007-05-23
[ [ "Sharif", "M.", "" ] ]
A new approach has been used to evaluate the momentum and angular momentum of the isotropic and homogeneous cosmological models. It is shown that the results obtained for momentum exactly coincide with those already available in the literature. However, the angular momentum expression coincides only for the closed Friedmann model.
hep-th/0605009
Rafael Torres cordoba
A.N. Leznov, G. R. Toker and R.Torres-Cordoba
Multisoliton solution of 3-waves problem
12 pages
null
null
null
hep-th
null
Multi-soliton solution of the 3-waves problem is represented in explicit determinative form.
[ { "created": "Sun, 30 Apr 2006 18:55:14 GMT", "version": "v1" } ]
2007-05-23
[ [ "Leznov", "A. N.", "" ], [ "Toker", "G. R.", "" ], [ "Torres-Cordoba", "R.", "" ] ]
Multi-soliton solution of the 3-waves problem is represented in explicit determinative form.
hep-th/9601159
H. Saller
Heinrich Saller
The Analysis of Time-Space Translations in Quantum Fields
31 pages, all macros included
Int.J.Theor.Phys. 36 (1997) 1033-1070
10.1007/BF02435800
MPI-PhT/96-6
hep-th
null
I discuss the indefinite metrical structure of the time-space translations as realized in the indefinite inner products for relativistic quantum fields, familiar in the example of quantum gauge fields. The arising indefinite unitary nondiagonalizable representations of the translations suggest as the positive unitarity condition for the probability interpretable positive definite asymptotic particle state space the requirement of a vanishing nilpotent part in the time-space translations realization. A trivial Becchi-Rouet-Stora charge (classical gauge invariance) for the asymptotics in quantum gauge theories can be interpreted as one special case of this general principle - the asymptotic projection to the eigenstates of the time-space translations.
[ { "created": "Tue, 30 Jan 1996 12:57:58 GMT", "version": "v1" } ]
2009-10-30
[ [ "Saller", "Heinrich", "" ] ]
I discuss the indefinite metrical structure of the time-space translations as realized in the indefinite inner products for relativistic quantum fields, familiar in the example of quantum gauge fields. The arising indefinite unitary nondiagonalizable representations of the translations suggest as the positive unitarity condition for the probability interpretable positive definite asymptotic particle state space the requirement of a vanishing nilpotent part in the time-space translations realization. A trivial Becchi-Rouet-Stora charge (classical gauge invariance) for the asymptotics in quantum gauge theories can be interpreted as one special case of this general principle - the asymptotic projection to the eigenstates of the time-space translations.
1109.3849
Mohammad Reza Setare
M. R. Setare and V. Kamali
Correlation functions of BCFT
15 pages, no figure, section 5 added to the new version
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) on manifolds with a boundary. We can use conformal symmetry to constrain correlation functions of conformal invariant fields. We compute two-point and three-point functions of conformal invariant fields which live in semi-infinite space. For a situation with a boundary condition in surface $z=\bar{z}$ ($t=0$), the results agree with gravity dual results. We also explore representations of conformal group in two dimensions.
[ { "created": "Sun, 18 Sep 2011 07:28:05 GMT", "version": "v1" }, { "created": "Sat, 8 Sep 2012 13:22:16 GMT", "version": "v2" } ]
2012-09-11
[ [ "Setare", "M. R.", "" ], [ "Kamali", "V.", "" ] ]
Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) on manifolds with a boundary. We can use conformal symmetry to constrain correlation functions of conformal invariant fields. We compute two-point and three-point functions of conformal invariant fields which live in semi-infinite space. For a situation with a boundary condition in surface $z=\bar{z}$ ($t=0$), the results agree with gravity dual results. We also explore representations of conformal group in two dimensions.
1907.09489
Raimond Abt
Raimond Abt, Johanna Erdmenger, Nick Evans, Konstantinos S. Rigatos
Light composite fermions from holography
null
null
10.1007/JHEP11(2019)160
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Motivated by Beyond the Standard Model theories of composite fermions or top partners, we propose a holographic mechanism that generates light baryonic states in a strongly coupled gauge theory. The starting point are the fermionic fluctuations of massive probe branes embedded into AdS$_5 \times S^5$. We first consider the D3/probe D7-brane system. We derive in detail the fermionic fluctuation equations and show the supersymmetric degeneracy of the mesinos with the mesons. Here we view the fermionic mesinos as potential realizations of composite fermions or top partners. We then add higher dimension operators and study their impact on the mesino spectrum. In particular we show that the ground state mesino mass can be pushed to an arbitrarily light value by a suitable choice of the coupling of the higher dimension operator, $g$. No matter the value of $g$, the masses of higher excited states never fall below the mass of the ground state at $g=0$. We also present similar results for the supersymmetric D3/D3 and D3/D5 systems.
[ { "created": "Mon, 22 Jul 2019 18:00:03 GMT", "version": "v1" }, { "created": "Mon, 29 Jul 2019 23:03:57 GMT", "version": "v2" }, { "created": "Thu, 26 Sep 2019 10:53:38 GMT", "version": "v3" } ]
2020-01-08
[ [ "Abt", "Raimond", "" ], [ "Erdmenger", "Johanna", "" ], [ "Evans", "Nick", "" ], [ "Rigatos", "Konstantinos S.", "" ] ]
Motivated by Beyond the Standard Model theories of composite fermions or top partners, we propose a holographic mechanism that generates light baryonic states in a strongly coupled gauge theory. The starting point are the fermionic fluctuations of massive probe branes embedded into AdS$_5 \times S^5$. We first consider the D3/probe D7-brane system. We derive in detail the fermionic fluctuation equations and show the supersymmetric degeneracy of the mesinos with the mesons. Here we view the fermionic mesinos as potential realizations of composite fermions or top partners. We then add higher dimension operators and study their impact on the mesino spectrum. In particular we show that the ground state mesino mass can be pushed to an arbitrarily light value by a suitable choice of the coupling of the higher dimension operator, $g$. No matter the value of $g$, the masses of higher excited states never fall below the mass of the ground state at $g=0$. We also present similar results for the supersymmetric D3/D3 and D3/D5 systems.
1202.4322
Stefan Zohren
Max R. Atkin and Stefan Zohren
An Analytical Analysis of CDT Coupled to Dimer-like Matter
12 pages, many figures, shortened, as published
Physics Letters B 712 (2012), pp. 445-450
10.1016/j.physletb.2012.05.017
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We consider a model of restricted dimers coupled to two-dimensional causal dynamical triangulations (CDT), where the dimer configurations are restricted in the sense that they do not include dimers in regions of high curvature. It is shown how the model can be solved analytically using bijections with decorated trees. At a negative critical value for the dimer fugacity the model undergoes a phase transition at which the critical exponent associated to the geometry changes. This represents the first account of an analytical study of a matter model with two-dimensional interactions coupled to CDT.
[ { "created": "Mon, 20 Feb 2012 13:43:06 GMT", "version": "v1" }, { "created": "Thu, 7 Jun 2012 21:05:15 GMT", "version": "v2" } ]
2012-06-11
[ [ "Atkin", "Max R.", "" ], [ "Zohren", "Stefan", "" ] ]
We consider a model of restricted dimers coupled to two-dimensional causal dynamical triangulations (CDT), where the dimer configurations are restricted in the sense that they do not include dimers in regions of high curvature. It is shown how the model can be solved analytically using bijections with decorated trees. At a negative critical value for the dimer fugacity the model undergoes a phase transition at which the critical exponent associated to the geometry changes. This represents the first account of an analytical study of a matter model with two-dimensional interactions coupled to CDT.
1712.04684
Hagen M\"unkler
Hagen M\"unkler
Symmetries of Maldacena-Wilson Loops from Integrable String Theory
PhD-Thesis based on the works arXiv:1503.07553, arXiv:1507.02474, arXiv:1606.04104, arXiv:1610.01161. 209 pages, 11 figures
null
null
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
In this thesis, we investigate hidden symmetries for the Maldacena-Wilson loop in N=4 super Yang-Mills theory, mainly focusing on its strong-coupling description as a minimal surface in $AdS_5$. In the discussion of the symmetry structure of the underlying string model, we highlight the role of the master symmetry which can be employed to construct all symmetries of the model. The algebra of these symmetries is worked out. For the concrete case of minimal surfaces in $AdS_5$, we discuss the deformation of the four-cusp solution, which provides the dual description of the four-gluon scattering amplitude. This marks the first step toward transferring the master symmetry to scattering amplitudes. Moreover, we compute the master and Yangian symmetry variations of generic, smooth boundary curves. The discussion clarifies why previous attempts to transfer the deformations of minimal surfaces in $AdS_3$ to weak coupling were unsuccessful. We discuss several attempts to transfer the Yangian symmetry to weak or arbitrary coupling, but ultimately conclude that a Yangian symmetry of the Maldacena-Wilson loop seems not to be present. This is different for the natural supersymmetric generalizations of the Maldacena--Wilson loop, Wilson loops in superspace. Their one-loop expectation value is known to be Yangian invariant. We discuss the strong-coupling counterpart of this finding by considering minimal surfaces in the superspace of type IIB superstring theory in $AdS_5 \times S^5$. The comparison of the strong-coupling invariance derived here with the weak-coupling generators shows that the local term must depend on the coupling in a non-trivial way. Additionally, we show that the higher-level recurrences of the hypercharge generator, the so-called bonus symmetries, are present in all higher levels of the Yangian.
[ { "created": "Wed, 13 Dec 2017 10:09:54 GMT", "version": "v1" } ]
2017-12-14
[ [ "Münkler", "Hagen", "" ] ]
In this thesis, we investigate hidden symmetries for the Maldacena-Wilson loop in N=4 super Yang-Mills theory, mainly focusing on its strong-coupling description as a minimal surface in $AdS_5$. In the discussion of the symmetry structure of the underlying string model, we highlight the role of the master symmetry which can be employed to construct all symmetries of the model. The algebra of these symmetries is worked out. For the concrete case of minimal surfaces in $AdS_5$, we discuss the deformation of the four-cusp solution, which provides the dual description of the four-gluon scattering amplitude. This marks the first step toward transferring the master symmetry to scattering amplitudes. Moreover, we compute the master and Yangian symmetry variations of generic, smooth boundary curves. The discussion clarifies why previous attempts to transfer the deformations of minimal surfaces in $AdS_3$ to weak coupling were unsuccessful. We discuss several attempts to transfer the Yangian symmetry to weak or arbitrary coupling, but ultimately conclude that a Yangian symmetry of the Maldacena-Wilson loop seems not to be present. This is different for the natural supersymmetric generalizations of the Maldacena--Wilson loop, Wilson loops in superspace. Their one-loop expectation value is known to be Yangian invariant. We discuss the strong-coupling counterpart of this finding by considering minimal surfaces in the superspace of type IIB superstring theory in $AdS_5 \times S^5$. The comparison of the strong-coupling invariance derived here with the weak-coupling generators shows that the local term must depend on the coupling in a non-trivial way. Additionally, we show that the higher-level recurrences of the hypercharge generator, the so-called bonus symmetries, are present in all higher levels of the Yangian.
hep-th/9507158
Melanie Becker
Katrin Becker, Melanie Becker and Andrew Strominger
Fivebranes, Membranes and Non-Perturbative String Theory
34 pages, phyzzx (A new section about conifold singularities in hypermultiplet moduli spaces is added)
Nucl.Phys.B456:130-152,1995
10.1016/0550-3213(95)00487-1
null
hep-th
null
Non-perturbative instanton corrections to the moduli space geometry of type IIA string theory compactified on a Calabi-Yau space are derived and found to contain order $e^{-1/g_s}$ contributions, where $g_s$ is the string coupling. The computation reduces to a weighted sum of supersymmetric extremal maps of strings, membranes and fivebranes into the Calabi-Yau space, all three of which enter on equal footing. It is shown that a supersymmetric 3-cycle is one for which the pullback of the K\"ahler form vanishes and the pullback of the holomorphic three-form is a constant multiple of the volume element. Quantum mirror symmetry relates the sum in the IIA theory over supersymmetric, odd-dimensional cycles in the Calabi-Yau space to a sum in the IIB theory over supersymmetric, even-dimensional cycles in the mirror.
[ { "created": "Fri, 28 Jul 1995 03:34:00 GMT", "version": "v1" }, { "created": "Fri, 25 Aug 1995 18:15:16 GMT", "version": "v2" }, { "created": "Wed, 27 Sep 1995 23:16:36 GMT", "version": "v3" } ]
2009-09-17
[ [ "Becker", "Katrin", "" ], [ "Becker", "Melanie", "" ], [ "Strominger", "Andrew", "" ] ]
Non-perturbative instanton corrections to the moduli space geometry of type IIA string theory compactified on a Calabi-Yau space are derived and found to contain order $e^{-1/g_s}$ contributions, where $g_s$ is the string coupling. The computation reduces to a weighted sum of supersymmetric extremal maps of strings, membranes and fivebranes into the Calabi-Yau space, all three of which enter on equal footing. It is shown that a supersymmetric 3-cycle is one for which the pullback of the K\"ahler form vanishes and the pullback of the holomorphic three-form is a constant multiple of the volume element. Quantum mirror symmetry relates the sum in the IIA theory over supersymmetric, odd-dimensional cycles in the Calabi-Yau space to a sum in the IIB theory over supersymmetric, even-dimensional cycles in the mirror.
2310.14396
Ido Ben-Dayan
Ido Ben-Dayan
The Quantum Focusing Conjecture and the Improved Energy Condition
5 pages, 2 figures
null
null
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
By rearranging its terms, the Quantum Focusing Conjecture (QFC) can be viewed as a quantum energy condition, and we can consider various limits. A recent restricted version is a limiting form where the quantum focusing vanishes $\Theta \rightarrow 0$, and has been proven for Braneworld scenario. As a result, we derive an improved quantum null energy condition (INEC) $T_{kk}\geq \frac{\hbar}{2\pi \mathcal{A}}\left(S''_{out}-\frac{1}{2}\theta S'_{out}\right)$, that can be proven with field theory techniques. We sketch the beginning of a proof, and briefly discuss possible interpretations in the absence of one.
[ { "created": "Sun, 22 Oct 2023 20:12:08 GMT", "version": "v1" } ]
2023-10-24
[ [ "Ben-Dayan", "Ido", "" ] ]
By rearranging its terms, the Quantum Focusing Conjecture (QFC) can be viewed as a quantum energy condition, and we can consider various limits. A recent restricted version is a limiting form where the quantum focusing vanishes $\Theta \rightarrow 0$, and has been proven for Braneworld scenario. As a result, we derive an improved quantum null energy condition (INEC) $T_{kk}\geq \frac{\hbar}{2\pi \mathcal{A}}\left(S''_{out}-\frac{1}{2}\theta S'_{out}\right)$, that can be proven with field theory techniques. We sketch the beginning of a proof, and briefly discuss possible interpretations in the absence of one.
2402.04174
Samuel Friot
Sumit Banik and Samuel Friot
Geometrical methods for the analytic evaluation of multiple Mellin-Barnes integrals
12 pages, 3 figures, presented by S. Friot at the XLV International Conference of Theoretical Physics "Matter to the Deepest", Warsaw, Poland, 17-22 September 2023 (extended version of the contribution to the proceedings published in Acta Physica Polonica B)
null
null
null
hep-th hep-ph math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Two recently developed techniques of analytic evaluation of multifold Mellin-Barnes (MB) integrals are presented. Both approaches rest on the definition of geometrical objets conveniently associated with the MB integrands, which can then be used along with multivariate residues analysis to derive series representations of the MB integrals. The first method is based on introducing conic hulls and considering specific intersections of the latter, while the second one rests on point configurations and their regular triangulations. After a brief description of both methods, which have been automatized in the MBConicHulls.wl Mathematica package, we review some of their applications. In particular, we show how the conic hulls method was used to obtain the first analytic calculation of complicated Feynman integrals, such as the massless off-shell conformal hexagon and double-box. We then show that the triangulation method is even more efficient, as it allows one to compute these nontrivial objects and harder ones in a much faster way.
[ { "created": "Tue, 6 Feb 2024 17:27:14 GMT", "version": "v1" } ]
2024-02-07
[ [ "Banik", "Sumit", "" ], [ "Friot", "Samuel", "" ] ]
Two recently developed techniques of analytic evaluation of multifold Mellin-Barnes (MB) integrals are presented. Both approaches rest on the definition of geometrical objets conveniently associated with the MB integrands, which can then be used along with multivariate residues analysis to derive series representations of the MB integrals. The first method is based on introducing conic hulls and considering specific intersections of the latter, while the second one rests on point configurations and their regular triangulations. After a brief description of both methods, which have been automatized in the MBConicHulls.wl Mathematica package, we review some of their applications. In particular, we show how the conic hulls method was used to obtain the first analytic calculation of complicated Feynman integrals, such as the massless off-shell conformal hexagon and double-box. We then show that the triangulation method is even more efficient, as it allows one to compute these nontrivial objects and harder ones in a much faster way.
1111.6614
Andrea Quadri
Andrea Quadri
Non-trivial Backgrounds in (non-perturbative) Yang-Mills Theory by the Slavnov-Taylor Identity
References added. RevTeX, 15 pages. Contributed to Quantum Theory and Symmetries 7, August 7-13, 2011, Prague
null
10.1088/1742-6596/343/1/012097
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that in the background field method (BFM) quantization of Yang-Mills theory the dependence of the vertex functional on the background field is controlled by a canonical transformation w.r.t. the Batalin-Vilkovisky bracket, naturally associated with the BRST symmetry of the theory. Since it only relies on the Slavnov-Taylor identity of the model, this result holds both in perturbation theory and in the non-perturbative regime. It provides a general consistent framework for the systematic implementation of the BFM in non-perturbative approaches to QCD, like e.g. those based on the Schwinger-Dyson equations or the lattice, in the presence of topologically non-trivial background configurations. The analysis is carried out in an arbitrary (background) R_\xi-gauge.
[ { "created": "Mon, 28 Nov 2011 21:25:31 GMT", "version": "v1" }, { "created": "Thu, 8 Dec 2011 10:43:38 GMT", "version": "v2" } ]
2015-06-03
[ [ "Quadri", "Andrea", "" ] ]
We show that in the background field method (BFM) quantization of Yang-Mills theory the dependence of the vertex functional on the background field is controlled by a canonical transformation w.r.t. the Batalin-Vilkovisky bracket, naturally associated with the BRST symmetry of the theory. Since it only relies on the Slavnov-Taylor identity of the model, this result holds both in perturbation theory and in the non-perturbative regime. It provides a general consistent framework for the systematic implementation of the BFM in non-perturbative approaches to QCD, like e.g. those based on the Schwinger-Dyson equations or the lattice, in the presence of topologically non-trivial background configurations. The analysis is carried out in an arbitrary (background) R_\xi-gauge.
hep-th/9211010
null
M.J. Martins
RG flows and resonance scattering amplitudes
8 pages, SISSA-EP-154,(2 figures not included)
null
null
null
hep-th
null
We review recent progresses in the study of factorized resonance scattering S-matrices. The resonance amplitudes are introduced through a suitable analytical continuation of the ADE Toda S-matrices. By using the thermodynamic Bethe ansatz approach we are able to compute the ground state energy, which describes a rich pattern of flows interpolating between the central charges of the coset models based on the ADE Lie algebras. We also present the simplest resonance ``$\phi^3$'' scattering model and discuss its relation with new flows in non-unitary minimal models. Further generalizations are discussed in terms of certain asymptotic conditions in a family of ``resonance'' functional hierarchies.
[ { "created": "Mon, 2 Nov 1992 17:07:12 GMT", "version": "v1" } ]
2007-05-23
[ [ "Martins", "M. J.", "" ] ]
We review recent progresses in the study of factorized resonance scattering S-matrices. The resonance amplitudes are introduced through a suitable analytical continuation of the ADE Toda S-matrices. By using the thermodynamic Bethe ansatz approach we are able to compute the ground state energy, which describes a rich pattern of flows interpolating between the central charges of the coset models based on the ADE Lie algebras. We also present the simplest resonance ``$\phi^3$'' scattering model and discuss its relation with new flows in non-unitary minimal models. Further generalizations are discussed in terms of certain asymptotic conditions in a family of ``resonance'' functional hierarchies.
0804.0314
Rikard von Unge
Anna Campbellova, Rikard von Unge
Towards the Core of the Quantum Monopole
23 pages; v2 reference added
Phys.Rev.D78:045020,2008
10.1103/PhysRevD.78.045020
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study monopole solutions of the quantum exact low-energy effective N=2 super Yang-Mills theories of Seiberg and Witten. We find a first order differential equation for the spatial dependence of the moduli and show that it can be interpreted as an attractor equation. Numerically integrating this equation, we try to address the question of what happens when one approaches the quantum core of the monopole where the low energy effective theory breaks down or, alternatively, if there are modified monopole solutions that do not have a strongly coupled quantum core so that one may trust the solution not only asymptotically.
[ { "created": "Wed, 2 Apr 2008 09:06:51 GMT", "version": "v1" }, { "created": "Tue, 22 Apr 2008 19:29:34 GMT", "version": "v2" } ]
2008-11-26
[ [ "Campbellova", "Anna", "" ], [ "von Unge", "Rikard", "" ] ]
We study monopole solutions of the quantum exact low-energy effective N=2 super Yang-Mills theories of Seiberg and Witten. We find a first order differential equation for the spatial dependence of the moduli and show that it can be interpreted as an attractor equation. Numerically integrating this equation, we try to address the question of what happens when one approaches the quantum core of the monopole where the low energy effective theory breaks down or, alternatively, if there are modified monopole solutions that do not have a strongly coupled quantum core so that one may trust the solution not only asymptotically.
1310.2698
Glenn Barnich
Glenn Barnich and Pierre-Henry Lambert
Einstein-Yang-Mills theory : I. Asymptotic symmetries
12 pages Latex file
Phys. Rev. D 88, 103006 (2013)
10.1103/PhysRevD.88.103006
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Asymptotic symmetries of the Einstein-Yang-Mills system with or without cosmological constant are explicitly worked out in a unified manner. In agreement with a recent conjecture, one finds a Virasoro-Kac-Moody type algebra not only in three dimensions but also in the four dimensional asymptotically flat case.
[ { "created": "Thu, 10 Oct 2013 03:47:48 GMT", "version": "v1" } ]
2013-11-20
[ [ "Barnich", "Glenn", "" ], [ "Lambert", "Pierre-Henry", "" ] ]
Asymptotic symmetries of the Einstein-Yang-Mills system with or without cosmological constant are explicitly worked out in a unified manner. In agreement with a recent conjecture, one finds a Virasoro-Kac-Moody type algebra not only in three dimensions but also in the four dimensional asymptotically flat case.
hep-th/0011228
I. Zois
Ioannis P. Zois (Mathematical Institute, University of Oxford)
Multiple "parallel" D-branes seen as leaves of foliations and Duminy's theorem
39 pages, TeX
null
null
OUMI-00-11
hep-th
null
We try to give a qualitative description of the Godbillon-Vey class and its relation on the one hand to the holonomy and on the other hand to the topological entropy of a foliation, using a remarkable theorem proved recently by G. Duminy (which still remains unpublished), relating these three notions in the case of codim-1 foliations. Moreover we shall investigate its possible consequences on string theory. In particular we shall present a conceptual argument according to which the curvature of the B-field (rank two antisymmetric tensor) of open strings might be related to the Godbillon-Vey class using a suitable generalisation of ``Non-Abelian Geometry'' which has just appeared in physics literature. Our starting point again is the Connes-Douglas-Schwarz article on compactifications of matrix models to noncommutative tori.
[ { "created": "Sat, 25 Nov 2000 15:24:29 GMT", "version": "v1" } ]
2007-05-23
[ [ "Zois", "Ioannis P.", "", "Mathematical Institute, University of Oxford" ] ]
We try to give a qualitative description of the Godbillon-Vey class and its relation on the one hand to the holonomy and on the other hand to the topological entropy of a foliation, using a remarkable theorem proved recently by G. Duminy (which still remains unpublished), relating these three notions in the case of codim-1 foliations. Moreover we shall investigate its possible consequences on string theory. In particular we shall present a conceptual argument according to which the curvature of the B-field (rank two antisymmetric tensor) of open strings might be related to the Godbillon-Vey class using a suitable generalisation of ``Non-Abelian Geometry'' which has just appeared in physics literature. Our starting point again is the Connes-Douglas-Schwarz article on compactifications of matrix models to noncommutative tori.
1912.13450
Satoshi Okano
Naohiro Kanda and Satoshi Okano
A classical mechanical model of two interacting massless particles in de Sitter space and its quantization
7pages, main result and overall exposition significantly improved, title changed, references added, version to be published in PLB
null
10.1016/j.physletb.2021.136520
null
hep-th
http://creativecommons.org/licenses/by/4.0/
A conformally invariant model of two interacting massless particles in Minkowski space was proposed by Casalbuoni and Gomis [1]. We generalize this model to the case of de Sitter space from the perspective of geodesic distance, in such a way that the resulting, generalized action reduces to the original action in a limit that de Sitter radius goes to infinity. We analyze the Hamiltonian formulation in accordance with Dirac's prescription for constrained Hamiltonian systems and carry out its subsequent canonical quantization in coordinate representation following DeWitt. As the result, we derive a fourth-order differential wave equation for bilocal fields that, in the infinite radius limit, reproduces one obtained in the original model for Minkowski space case.
[ { "created": "Tue, 31 Dec 2019 17:44:54 GMT", "version": "v1" }, { "created": "Sat, 17 Jul 2021 13:47:25 GMT", "version": "v2" } ]
2021-07-20
[ [ "Kanda", "Naohiro", "" ], [ "Okano", "Satoshi", "" ] ]
A conformally invariant model of two interacting massless particles in Minkowski space was proposed by Casalbuoni and Gomis [1]. We generalize this model to the case of de Sitter space from the perspective of geodesic distance, in such a way that the resulting, generalized action reduces to the original action in a limit that de Sitter radius goes to infinity. We analyze the Hamiltonian formulation in accordance with Dirac's prescription for constrained Hamiltonian systems and carry out its subsequent canonical quantization in coordinate representation following DeWitt. As the result, we derive a fourth-order differential wave equation for bilocal fields that, in the infinite radius limit, reproduces one obtained in the original model for Minkowski space case.
1805.03523
Florian Niedermann
Florian Niedermann, Antonio Padilla, Paul M. Saffin
Higher Order Clockwork Gravity
5 pages, v2: matches published version
Phys. Rev. D 98, 104014 (2018)
10.1103/PhysRevD.98.104014
null
hep-th gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We present a higher order generalisation of the clockwork mechanism starting from an underlying non-linear multigravity theory with a single scale and nearest neighbour ghost-free interactions. Without introducing any hierarchies in the underlying potential, this admits a family of Minkowski vacua around which massless graviton fluctuations couple to matter exponentially more weakly than the heavy modes. Although multi-diffeomorphisms are broken to the diagonal subgroup in our theory, an asymmetric distribution of conformal factors in the background vacua translates this diagonal symmetry into an asymmetric shift of the graviton gears. In particular we present a TeV scale multigravity model with ${\cal O}(10)$ sites that contains a massless mode whose coupling to matter is Planckian, and a tower of massive modes starting at a TeV mass range and with TeV strength couplings. This suggests a possible application to the hierarchy problem as well as a candidate for dark matter.
[ { "created": "Wed, 9 May 2018 13:43:56 GMT", "version": "v1" }, { "created": "Tue, 13 Nov 2018 16:12:00 GMT", "version": "v2" } ]
2018-11-14
[ [ "Niedermann", "Florian", "" ], [ "Padilla", "Antonio", "" ], [ "Saffin", "Paul M.", "" ] ]
We present a higher order generalisation of the clockwork mechanism starting from an underlying non-linear multigravity theory with a single scale and nearest neighbour ghost-free interactions. Without introducing any hierarchies in the underlying potential, this admits a family of Minkowski vacua around which massless graviton fluctuations couple to matter exponentially more weakly than the heavy modes. Although multi-diffeomorphisms are broken to the diagonal subgroup in our theory, an asymmetric distribution of conformal factors in the background vacua translates this diagonal symmetry into an asymmetric shift of the graviton gears. In particular we present a TeV scale multigravity model with ${\cal O}(10)$ sites that contains a massless mode whose coupling to matter is Planckian, and a tower of massive modes starting at a TeV mass range and with TeV strength couplings. This suggests a possible application to the hierarchy problem as well as a candidate for dark matter.
hep-th/9605214
null
E.T. Akhmedov (ITEP)
Fermionic String from Abelian Higgs Model with monopoles and $\Theta$-term
8 pages, LaTeX file, no figures. Submitted to JETP Lett
JETPLett.64:82-86,1996
10.1134/1.567147
ITEP-TH-16/96
hep-th
null
The four dimensional Abelian Higgs model with monopoles and $\Theta$-term is considered in the limit of the large mass of the higgs boson. We show that for $\Theta=2 \pi$ the theory is equivalent, at large distances, to summation over all possible world-sheets of fermionic strings with Dirichlet type boundary conditions on string coordinates.
[ { "created": "Thu, 30 May 1996 13:12:03 GMT", "version": "v1" } ]
2008-11-26
[ [ "Akhmedov", "E. T.", "", "ITEP" ] ]
The four dimensional Abelian Higgs model with monopoles and $\Theta$-term is considered in the limit of the large mass of the higgs boson. We show that for $\Theta=2 \pi$ the theory is equivalent, at large distances, to summation over all possible world-sheets of fermionic strings with Dirichlet type boundary conditions on string coordinates.
hep-th/0312032
Christian Rupp
F.R. Klinkhamer, C. Rupp
Spacetime foam, CPT anomaly, and photon propagation
29 pages with revtex4, v5: published version
Phys.Rev. D70 (2004) 045020
10.1103/PhysRevD.70.045020
KA-TP-10-2003
hep-th astro-ph gr-qc hep-ph
null
The CPT anomaly of certain chiral gauge theories has been established previously for flat multiply connected spacetime manifolds M of the type R^3 x S^1, where the noncontractible loops have a minimal length. In this article, we show that the CPT anomaly also occurs for manifolds where the noncontractible loops can be arbitrarily small. Our basic calculation is performed for a flat noncompact manifold with a single "puncture," namely M = R^2 x (R^2 {0}). A hypothetical spacetime foam might have many such punctures (or other structures with similar effects). Assuming the multiply connected structure of the foam to be time independent, we present a simple model for photon propagation, which generalizes the single-puncture result. This model leads to a modified dispersion law of the photon. Observations of high-energy photons (gamma-rays) from explosive extragalactic events can then be used to place an upper bound on the typical length scale of these punctures.
[ { "created": "Tue, 2 Dec 2003 17:49:45 GMT", "version": "v1" }, { "created": "Mon, 8 Dec 2003 15:17:41 GMT", "version": "v2" }, { "created": "Tue, 30 Dec 2003 15:21:00 GMT", "version": "v3" }, { "created": "Tue, 30 Mar 2004 09:19:43 GMT", "version": "v4" }, { "created": "Sat, 4 Sep 2004 15:23:13 GMT", "version": "v5" } ]
2009-11-10
[ [ "Klinkhamer", "F. R.", "" ], [ "Rupp", "C.", "" ] ]
The CPT anomaly of certain chiral gauge theories has been established previously for flat multiply connected spacetime manifolds M of the type R^3 x S^1, where the noncontractible loops have a minimal length. In this article, we show that the CPT anomaly also occurs for manifolds where the noncontractible loops can be arbitrarily small. Our basic calculation is performed for a flat noncompact manifold with a single "puncture," namely M = R^2 x (R^2 {0}). A hypothetical spacetime foam might have many such punctures (or other structures with similar effects). Assuming the multiply connected structure of the foam to be time independent, we present a simple model for photon propagation, which generalizes the single-puncture result. This model leads to a modified dispersion law of the photon. Observations of high-energy photons (gamma-rays) from explosive extragalactic events can then be used to place an upper bound on the typical length scale of these punctures.
1112.5660
Petr Horava
Tom Griffin, Petr Horava, Charles M. Melby-Thompson
Conformal Lifshitz Gravity from Holography
41 pages; v2: typos corrected, references added
JHEP 1205 (2012) 010
10.1007/JHEP05(2012)010
null
hep-th cond-mat.str-el gr-qc math.DG
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We show that holographic renormalization of relativistic gravity in asymptotically Lifshitz spacetimes naturally reproduces the structure of gravity with anisotropic scaling: The holographic counterterms induced near anisotropic infinity take the form of the action for gravity at a Lifshitz point, with the appropriate value of the dynamical critical exponent $z$. In the particular case of 3+1 bulk dimensions and $z=2$ asymptotic scaling near infinity, we find a logarithmic counterterm, related to anisotropic Weyl anomaly of the dual CFT, and show that this counterterm reproduces precisely the action of conformal gravity at a $z=2$ Lifshitz point in 2+1 dimensions, which enjoys anisotropic local Weyl invariance and satisfies the detailed balance condition. We explain how the detailed balance is a consequence of relations among holographic counterterms, and point out that a similar relation holds in the relativistic case of holography in $AdS_5$. Upon analytic continuation, analogous to the relativistic case studied recently by Maldacena, the action of conformal gravity at the $z=2$ Lifshitz point features in the ground-state wavefunction of a gravitational system with an interesting type of spatial anisotropy.
[ { "created": "Fri, 23 Dec 2011 20:50:15 GMT", "version": "v1" }, { "created": "Tue, 3 Apr 2012 18:46:01 GMT", "version": "v2" } ]
2015-06-03
[ [ "Griffin", "Tom", "" ], [ "Horava", "Petr", "" ], [ "Melby-Thompson", "Charles M.", "" ] ]
We show that holographic renormalization of relativistic gravity in asymptotically Lifshitz spacetimes naturally reproduces the structure of gravity with anisotropic scaling: The holographic counterterms induced near anisotropic infinity take the form of the action for gravity at a Lifshitz point, with the appropriate value of the dynamical critical exponent $z$. In the particular case of 3+1 bulk dimensions and $z=2$ asymptotic scaling near infinity, we find a logarithmic counterterm, related to anisotropic Weyl anomaly of the dual CFT, and show that this counterterm reproduces precisely the action of conformal gravity at a $z=2$ Lifshitz point in 2+1 dimensions, which enjoys anisotropic local Weyl invariance and satisfies the detailed balance condition. We explain how the detailed balance is a consequence of relations among holographic counterterms, and point out that a similar relation holds in the relativistic case of holography in $AdS_5$. Upon analytic continuation, analogous to the relativistic case studied recently by Maldacena, the action of conformal gravity at the $z=2$ Lifshitz point features in the ground-state wavefunction of a gravitational system with an interesting type of spatial anisotropy.
1410.2428
Olga Shekhovtsova
Olga Shekhovtsova
Analysis of BaBar data for three meson tau decay modes using the Tauola generator
5 pages, 1 figure. Proceedings of the 7th Edition of the International Workshop on Quantum Chromodynamics -QCD@Work: Interantional Workshop on QCD, Theory and Experiment- (16-19 June 2014, Giovinazzo, Italy)
null
10.1051/epjconf/20148000054
IFJPAN-IV-2014-14
hep-ph physics.data-an
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The hadronic current for the $\tau^- \to \pi^-\pi^+\pi^-\nu_\tau$ decay calculated in the framework of the Resonance Chiral Theory with an additional modification to include the $\sigma$ meson is described. Implementation into the Monte Carlo generator Tauola and fitting strategy to get the model parameters using the one-dimensional distributions are discussed. The results of the fit to one-dimensional mass invariant spectrum of the BaBar data are presented.
[ { "created": "Thu, 9 Oct 2014 11:31:33 GMT", "version": "v1" } ]
2015-06-23
[ [ "Shekhovtsova", "Olga", "" ] ]
The hadronic current for the $\tau^- \to \pi^-\pi^+\pi^-\nu_\tau$ decay calculated in the framework of the Resonance Chiral Theory with an additional modification to include the $\sigma$ meson is described. Implementation into the Monte Carlo generator Tauola and fitting strategy to get the model parameters using the one-dimensional distributions are discussed. The results of the fit to one-dimensional mass invariant spectrum of the BaBar data are presented.
hep-th/0701126
Osvaldo Pablo Santillan
O.P.Santillan
Tri-Sasaki 7-metrics fibered over the QK limit of the Plebanski-Demianski metrics
20 pages, no figures, two references corrected
null
null
null
hep-th gr-qc
null
We consider a family of conical hyperkahler 8-metrics and we find the corresponding tri-Sasaki 7-metrics. We find in particular, a 7-dimensional fibration over the AdS-Kerr-Newmann-Taub-Nut solutions which is tri-Sasaki, and we consider several limits of the parameters of this solution. We also find an squashed version of these metrics, which is of weak $G_2$ holonomy. Construction of supergravity backgrounds is briefly discussed, in particular examples which do not possess $AdS_4$ near horizon limit.
[ { "created": "Sat, 13 Jan 2007 04:20:20 GMT", "version": "v1" }, { "created": "Wed, 17 Jan 2007 19:25:51 GMT", "version": "v2" }, { "created": "Thu, 18 Jan 2007 23:22:07 GMT", "version": "v3" } ]
2007-05-23
[ [ "Santillan", "O. P.", "" ] ]
We consider a family of conical hyperkahler 8-metrics and we find the corresponding tri-Sasaki 7-metrics. We find in particular, a 7-dimensional fibration over the AdS-Kerr-Newmann-Taub-Nut solutions which is tri-Sasaki, and we consider several limits of the parameters of this solution. We also find an squashed version of these metrics, which is of weak $G_2$ holonomy. Construction of supergravity backgrounds is briefly discussed, in particular examples which do not possess $AdS_4$ near horizon limit.
hep-th/0502185
Asko Jokinen
Kari Enqvist, Asko Jokinen, Anupam Mazumdar, Tuomas Multamaki, Antti Vaihkonen
Cosmological constraints on string scale and coupling arising from tachyonic instability
12 pages, 2 figures, typo corrected, discussion and references added
JHEP 0508 (2005) 084
10.1088/1126-6708/2005/08/084
HIP-2005-07/TH, NORDITA-2005-18
hep-th astro-ph hep-ph
null
We demonstrate that string motivated inflation ending via tachyonic instability leaves a detectable imprint on the cosmic microwave background (CMB) radiation by virtue of the excitation of non-Gaussian gravitational fluctuations. The present WMAP bound on non-Gaussianity is shown to constrain the string scale by $M_S/M_P\leq 10^{-4}$ for string coupling $g_{s}<0.1$, hence improving the existing bounds. If tachyon fluctuations during inflation are not negligible, we find the stringent constraint $g_s\sim 10^{-9}$ for $M_{S}/M_{P}<10^{-3}$. This case may soon be ruled out by the forthcoming CMB non-Gaussinianity bounds.
[ { "created": "Mon, 21 Feb 2005 17:05:56 GMT", "version": "v1" }, { "created": "Fri, 18 Mar 2005 08:48:49 GMT", "version": "v2" } ]
2007-05-23
[ [ "Enqvist", "Kari", "" ], [ "Jokinen", "Asko", "" ], [ "Mazumdar", "Anupam", "" ], [ "Multamaki", "Tuomas", "" ], [ "Vaihkonen", "Antti", "" ] ]
We demonstrate that string motivated inflation ending via tachyonic instability leaves a detectable imprint on the cosmic microwave background (CMB) radiation by virtue of the excitation of non-Gaussian gravitational fluctuations. The present WMAP bound on non-Gaussianity is shown to constrain the string scale by $M_S/M_P\leq 10^{-4}$ for string coupling $g_{s}<0.1$, hence improving the existing bounds. If tachyon fluctuations during inflation are not negligible, we find the stringent constraint $g_s\sim 10^{-9}$ for $M_{S}/M_{P}<10^{-3}$. This case may soon be ruled out by the forthcoming CMB non-Gaussinianity bounds.
0907.0496
Vincent Pangon
V. Pangon, S. Nagy, J. Polonyi, K. Sailer
Quantum censorship in two dimensions
12 pages, 4 figures. Final version
Phys.Lett.B694:89-93,2010
10.1016/j.physletb.2010.09.041
null
hep-th cond-mat.str-el
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
It is pointed out that increasingly attractive interactions, represented by partially concave local potential in the Lagrangian, may lead to the degeneracy of the blocked, renormalized action at the gliding cutoff scale by tree-level renormalization. A quantum counterpart of this mechanism is presented in the two-dimensional sine-Gordon model. The presence of Quantum Censorship is conjectured which makes the loop contributions pile up during the renormalization and thereby realize an approximate semiclassical effect.
[ { "created": "Thu, 2 Jul 2009 22:52:38 GMT", "version": "v1" }, { "created": "Tue, 7 Jul 2009 19:08:21 GMT", "version": "v2" }, { "created": "Fri, 22 Oct 2010 14:29:26 GMT", "version": "v3" } ]
2010-10-25
[ [ "Pangon", "V.", "" ], [ "Nagy", "S.", "" ], [ "Polonyi", "J.", "" ], [ "Sailer", "K.", "" ] ]
It is pointed out that increasingly attractive interactions, represented by partially concave local potential in the Lagrangian, may lead to the degeneracy of the blocked, renormalized action at the gliding cutoff scale by tree-level renormalization. A quantum counterpart of this mechanism is presented in the two-dimensional sine-Gordon model. The presence of Quantum Censorship is conjectured which makes the loop contributions pile up during the renormalization and thereby realize an approximate semiclassical effect.
1205.4732
Steven B. Giddings
Steven B. Giddings and Yinbo Shi
Quantum information transfer and models for black hole mechanics
31 pages, harvmac. v2: nomenclature change, minor added explanation. v3: small corrections/rewordings; improved figure; version to match publication in PRD
null
10.1103/PhysRevD.87.064031
NSF-KITP-12-098
hep-th gr-qc quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
General features of information transfer between quantum subsystems, via unitary evolution, are investigated, with applications to the problem of information transfer from a black hole to its surroundings. A particularly direct form of quantum information transfer is "subspace transfer," which can be characterized by saturation of a subadditivity inequality. We also describe more general unitary quantum information transfer, and categorize different models for black hole evolution. Evolution that only creates paired excitations inside/outside the black hole is shown not to extract information, but information-transferring models exist both in the "saturating" and "non-saturating" category. The former more closely capture thermodynamic behavior; the latter generically have enhanced energy flux, beyond that of Hawking.
[ { "created": "Mon, 21 May 2012 20:05:10 GMT", "version": "v1" }, { "created": "Fri, 6 Jul 2012 18:48:25 GMT", "version": "v2" }, { "created": "Tue, 22 Jan 2013 23:09:38 GMT", "version": "v3" } ]
2015-03-20
[ [ "Giddings", "Steven B.", "" ], [ "Shi", "Yinbo", "" ] ]
General features of information transfer between quantum subsystems, via unitary evolution, are investigated, with applications to the problem of information transfer from a black hole to its surroundings. A particularly direct form of quantum information transfer is "subspace transfer," which can be characterized by saturation of a subadditivity inequality. We also describe more general unitary quantum information transfer, and categorize different models for black hole evolution. Evolution that only creates paired excitations inside/outside the black hole is shown not to extract information, but information-transferring models exist both in the "saturating" and "non-saturating" category. The former more closely capture thermodynamic behavior; the latter generically have enhanced energy flux, beyond that of Hawking.
hep-ph/0701225
Fran\c{c}ois Gelis
Francois Gelis
QCD at small x and nucleus-nucleus collisions
Plenary talk given at QM2006, Shanghai, November 2006. 8 pages, 8 figures
J.Phys.G34:S421-428,2007
10.1088/0954-3899/34/8/S30
null
hep-ph nucl-ex nucl-th
null
At large collision energy sqrt(s) and relatively low momentum transfer Q, one expects a new regime of Quantum Chromo-Dynamics (QCD) known as "saturation". This kinematical range is characterized by a very large occupation number for gluons inside hadrons and nuclei; this is the region where higher twist contributions are as large as the leading twist contributions incorporated in collinear factorization. In this talk, I discuss the onset of and dynamics in the saturation regime, some of its experimental signatures, and its implications for the early stages of Heavy Ion Collisions.
[ { "created": "Fri, 26 Jan 2007 15:46:07 GMT", "version": "v1" } ]
2008-11-26
[ [ "Gelis", "Francois", "" ] ]
At large collision energy sqrt(s) and relatively low momentum transfer Q, one expects a new regime of Quantum Chromo-Dynamics (QCD) known as "saturation". This kinematical range is characterized by a very large occupation number for gluons inside hadrons and nuclei; this is the region where higher twist contributions are as large as the leading twist contributions incorporated in collinear factorization. In this talk, I discuss the onset of and dynamics in the saturation regime, some of its experimental signatures, and its implications for the early stages of Heavy Ion Collisions.
hep-ph/0207175
Robert Foot
Robert Foot
Does mirror matter exist?
very non-technical
null
null
null
hep-ph astro-ph physics.space-ph
null
One of the most fascinating ideas coming from particle physics is the concept of mirror matter. Mirror matter is a new form of matter which is predicted to exist if mirror symmetry is respected by nature. At the preset time evidence that mirror matter actually exists is in abundance, coming from a range of observations and experiments in astronomy, particle physics, meteoritics and planetary science.
[ { "created": "Sun, 14 Jul 2002 22:21:52 GMT", "version": "v1" } ]
2007-05-23
[ [ "Foot", "Robert", "" ] ]
One of the most fascinating ideas coming from particle physics is the concept of mirror matter. Mirror matter is a new form of matter which is predicted to exist if mirror symmetry is respected by nature. At the preset time evidence that mirror matter actually exists is in abundance, coming from a range of observations and experiments in astronomy, particle physics, meteoritics and planetary science.
hep-th/0108202
Sakura Schafer-Nameki
Matthias R. Gaberdiel, Sakura Schafer-Nameki
Non-BPS D-branes and M-theory
21 pages, 1 figure; harvmac b-mode; reference added
JHEP 0109:028,2001
10.1088/1126-6708/2001/09/028
null
hep-th
null
A dual pair of supersymmetric string theories that involves an asymmetric orbifold and an orientifold of Type II is considered. The D-branes of the orbifold theory (that were recently determined by Gutperle) are all non-BPS and do not carry any conserved gauge charges. It is shown that they carry non-trivial K-theory charges, and that they can be understood in terms of branes wrapping certain homology classes of the M-theory compactification. Using the adiabatic argument, dual partners of some of these non-BPS D-branes are proposed. The relations between these dual states are found to be in agreement with the M-theory description of the D-branes.
[ { "created": "Mon, 27 Aug 2001 19:36:54 GMT", "version": "v1" }, { "created": "Tue, 25 Sep 2001 17:12:33 GMT", "version": "v2" } ]
2010-02-03
[ [ "Gaberdiel", "Matthias R.", "" ], [ "Schafer-Nameki", "Sakura", "" ] ]
A dual pair of supersymmetric string theories that involves an asymmetric orbifold and an orientifold of Type II is considered. The D-branes of the orbifold theory (that were recently determined by Gutperle) are all non-BPS and do not carry any conserved gauge charges. It is shown that they carry non-trivial K-theory charges, and that they can be understood in terms of branes wrapping certain homology classes of the M-theory compactification. Using the adiabatic argument, dual partners of some of these non-BPS D-branes are proposed. The relations between these dual states are found to be in agreement with the M-theory description of the D-branes.
0704.3563
Jean Alexandre
Jean Alexandre and Konstantinos Farakos
Path integral quantization of scalar fluctuations above a kink
Comments added
J.Phys.A41:015401,2008
10.1088/1751-8113/41/1/015401
null
hep-th hep-ph
null
We quantize scalar fluctuations in 1+1 dimensions above a classical background kink. The properties of the effective action for the corresponding classical field are studied with an exact functional method, alternative to exact Wilsonian renormalization, where the running parameter is a bare mass, and the regulator of the quantum theory is fixed. We extend this approach, in an appendix, to a Yukawa interaction in higher dimension.
[ { "created": "Thu, 26 Apr 2007 14:56:30 GMT", "version": "v1" }, { "created": "Mon, 12 Nov 2007 17:16:51 GMT", "version": "v2" } ]
2008-11-26
[ [ "Alexandre", "Jean", "" ], [ "Farakos", "Konstantinos", "" ] ]
We quantize scalar fluctuations in 1+1 dimensions above a classical background kink. The properties of the effective action for the corresponding classical field are studied with an exact functional method, alternative to exact Wilsonian renormalization, where the running parameter is a bare mass, and the regulator of the quantum theory is fixed. We extend this approach, in an appendix, to a Yukawa interaction in higher dimension.
1204.1547
Ichiro Oda
Ichiro Oda
Velocity of Light in Dark Matter with Charge
10 pages
null
10.1142/S0217732312501167
DPUR/TH/30
hep-ph gr-qc hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We propose an interesting mechanism to reconcile the recent experiments of the Michelson-Morley type and slowdown of the velocity of light in dark matter with a fractional electric charge when the index of refraction of dark matter depends on the frequency of a photon. After deriving the formula for the velocity of light in a medium with the index of refraction $n(\omega)$ in a relativistic regime, it is shown that the local anisotropy of the light speed is proportional to the second order in $n(\omega) - 1$. This result implies that the experiments of the Michelson-Morley type do not give rise to a stringent constraint on the slowdown of the velocity of light in dark matter with electric charge.
[ { "created": "Fri, 6 Apr 2012 19:56:20 GMT", "version": "v1" } ]
2015-06-04
[ [ "Oda", "Ichiro", "" ] ]
We propose an interesting mechanism to reconcile the recent experiments of the Michelson-Morley type and slowdown of the velocity of light in dark matter with a fractional electric charge when the index of refraction of dark matter depends on the frequency of a photon. After deriving the formula for the velocity of light in a medium with the index of refraction $n(\omega)$ in a relativistic regime, it is shown that the local anisotropy of the light speed is proportional to the second order in $n(\omega) - 1$. This result implies that the experiments of the Michelson-Morley type do not give rise to a stringent constraint on the slowdown of the velocity of light in dark matter with electric charge.
0804.1914
Daniel Blaschke
Daniel N. Blaschke, Francois Gieres, Erwin Kronberger, Manfred Schweda, Michael Wohlgenannt
Translation-invariant models for non-commutative gauge fields
9 pages
J.Phys.A41:252002,2008
10.1088/1751-8113/41/25/252002
LYCEN 2008-05, UWThPh-2008-06
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Motivated by the recent construction of a translation-invariant renormalizable non-commutative model for a scalar field (see arXiv:0802.0791 [math-ph]), we introduce models for non-commutative U(1) gauge fields along the same lines. More precisely, we include some extra terms into the action with the aim of getting rid of the UV/IR mixing.
[ { "created": "Fri, 11 Apr 2008 15:25:50 GMT", "version": "v1" } ]
2008-11-26
[ [ "Blaschke", "Daniel N.", "" ], [ "Gieres", "Francois", "" ], [ "Kronberger", "Erwin", "" ], [ "Schweda", "Manfred", "" ], [ "Wohlgenannt", "Michael", "" ] ]
Motivated by the recent construction of a translation-invariant renormalizable non-commutative model for a scalar field (see arXiv:0802.0791 [math-ph]), we introduce models for non-commutative U(1) gauge fields along the same lines. More precisely, we include some extra terms into the action with the aim of getting rid of the UV/IR mixing.
hep-ph/0309107
Vlad Popa
S. Cecchini, D. Centomo, G. Giacomelli, V. Popa, C.G. Serbanut
Monte Carlo simulation of an experiment looking for radiative solar neutrino decays
13 pages, 10 figures, accepted by Astropart. Phys
Astropart.Phys.21:35-43,2004
10.1016/j.astropartphys.2003.11.001
DFUB 6/2003
hep-ph
null
We analyse the possibility of detecting visible photons from a hypothetical radiative decay of solar neutrinos. Our study is focused on the simulation of such measurements during total solar eclipses and it is based on the BP2000 Standard Solar Model and on the most recent experimental information concerning the neutrino properties.
[ { "created": "Wed, 10 Sep 2003 09:22:11 GMT", "version": "v1" } ]
2011-05-23
[ [ "Cecchini", "S.", "" ], [ "Centomo", "D.", "" ], [ "Giacomelli", "G.", "" ], [ "Popa", "V.", "" ], [ "Serbanut", "C. G.", "" ] ]
We analyse the possibility of detecting visible photons from a hypothetical radiative decay of solar neutrinos. Our study is focused on the simulation of such measurements during total solar eclipses and it is based on the BP2000 Standard Solar Model and on the most recent experimental information concerning the neutrino properties.
hep-ph/9404287
Erwin Mirkes
T. Brodkorb and E. Mirkes
DISJET 1.2: A Monte Carlo Program for Jet Cross Section Calculations in Deep Inelastic Scattering
An error in the finite part of the O(alphas^2) virtual corrections to the quark initiated (2+1)-jet subprocess is corrected. An error in the labelling of the O(alphas^2) (3+1)-jet subprocesses is corrected. An additional kinematical cut has been implemented
null
null
MADPH-94-821;
hep-ph
null
We present a new parton level Monte Carlo program for the calculation of jet cross sections in Deep Inelastic Scattering based on Born and next-to-leading order matrix elements. Using a class of invariant jet definition schemes, the program allows for the calculation of differential distributions of jet cross sections in the basic kinematical variables (like s, x, y, W^2, Q^2...) as well as for total jet cross sections. Various kinematical cuts can be chosen from an input file.
[ { "created": "Tue, 19 Apr 1994 01:35:44 GMT", "version": "v1" }, { "created": "Fri, 28 Apr 1995 02:14:34 GMT", "version": "v2" } ]
2008-02-03
[ [ "Brodkorb", "T.", "" ], [ "Mirkes", "E.", "" ] ]
We present a new parton level Monte Carlo program for the calculation of jet cross sections in Deep Inelastic Scattering based on Born and next-to-leading order matrix elements. Using a class of invariant jet definition schemes, the program allows for the calculation of differential distributions of jet cross sections in the basic kinematical variables (like s, x, y, W^2, Q^2...) as well as for total jet cross sections. Various kinematical cuts can be chosen from an input file.
0904.3471
Jerome Martin
Philippe Brax, Carsten van de Bruck, Jerome Martin and Anne-Christine Davis
Decoupling Dark Energy from Matter
22 pages, Latex
JCAP 0909:032,2009
10.1088/1475-7516/2009/09/032
null
hep-th astro-ph.CO gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We examine the embedding of dark energy in high energy models based upon supergravity and extend the usual phenomenological setting comprising an observable sector and a hidden supersymmetry breaking sector by including a third sector leading to the acceleration of the expansion of the universe. We find that gravitational constraints on the non-existence of a fifth force naturally imply that the dark energy sector must possess an approximate shift symmetry. When exact, the shift symmetry provides an example of a dark energy sector with a runaway potential and a nearly massless dark energy field whose coupling to matter is very weak, contrary to the usual lore that dark energy fields must couple strongly to matter and lead to gravitational inconsistencies. Moreover, the shape of the potential is stable under one-loop radiative corrections. When the shift symmetry is slightly broken by higher order terms in the Kahler potential, the coupling to matter remains small. However, the cosmological dynamics are largely affected by the shift symmetry breaking operators leading to the appearance of a minimum of the scalar potential such that dark energy behaves like an effective cosmological constant from very early on in the history of the universe.
[ { "created": "Wed, 22 Apr 2009 14:54:17 GMT", "version": "v1" } ]
2009-10-02
[ [ "Brax", "Philippe", "" ], [ "van de Bruck", "Carsten", "" ], [ "Martin", "Jerome", "" ], [ "Davis", "Anne-Christine", "" ] ]
We examine the embedding of dark energy in high energy models based upon supergravity and extend the usual phenomenological setting comprising an observable sector and a hidden supersymmetry breaking sector by including a third sector leading to the acceleration of the expansion of the universe. We find that gravitational constraints on the non-existence of a fifth force naturally imply that the dark energy sector must possess an approximate shift symmetry. When exact, the shift symmetry provides an example of a dark energy sector with a runaway potential and a nearly massless dark energy field whose coupling to matter is very weak, contrary to the usual lore that dark energy fields must couple strongly to matter and lead to gravitational inconsistencies. Moreover, the shape of the potential is stable under one-loop radiative corrections. When the shift symmetry is slightly broken by higher order terms in the Kahler potential, the coupling to matter remains small. However, the cosmological dynamics are largely affected by the shift symmetry breaking operators leading to the appearance of a minimum of the scalar potential such that dark energy behaves like an effective cosmological constant from very early on in the history of the universe.
2210.04784
Vitalii Vertogradov
Vitalii Vertogradov
Extraction Energy From Charged Vaidya Black Hole Via Penrose Process
10 pages, submitted to Chinese Physics C
null
10.1088/1572-9494/acc018
null
gr-qc
http://creativecommons.org/licenses/by/4.0/
In this paper, we consider the analogy of the Penrose process in Charged Vaidya spacetime. We calculate the border of the generalized ergosphere, in which the charged particles with negative energy might exist, and show that it is temporary. We show that there are no closed orbits for particles with negative energy inside the generalized ergosphere. We investigate the question about the efficiency of the Penrose process and show that one can't extract large energies from a black hole.
[ { "created": "Mon, 10 Oct 2022 15:42:00 GMT", "version": "v1" } ]
2023-04-26
[ [ "Vertogradov", "Vitalii", "" ] ]
In this paper, we consider the analogy of the Penrose process in Charged Vaidya spacetime. We calculate the border of the generalized ergosphere, in which the charged particles with negative energy might exist, and show that it is temporary. We show that there are no closed orbits for particles with negative energy inside the generalized ergosphere. We investigate the question about the efficiency of the Penrose process and show that one can't extract large energies from a black hole.
0812.4804
Christos Kokorelis
Christos Kokorelis
On the (Non) Perturbative Origin of Quark Masses in D-brane GUT Models
26 pages, 1 figure; v2: typos corrected, comments added
null
null
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We examine the issue of generating the perturbatively absent ${\bf 10} \cdot {\bf 10} \cdot {{\bf 5}}^H$ SU(5)/flipped SU(5)Yukawa couplings in type II D-brane orientifold compactifications of string theory both at the perturbative (PER) and the non-perturbative (NP) level. We find at the PER level, higher order terms like $ {\bf 10} \cdot {\bf 10} \cdot {\bf{\bar 5}}^H \cdot{\bf{\bar 5}}^H \cdot {\bf{\bar 5}}^H \cdot {\bf{\bar 5}}^H \cdot {\bf 1}^H \cdot {\bf 1}^H$ in SU(5) may be responsible for the relevant quark mass generation in models with general intersecting D6-branes. Euclidean D2-brane instantons on the other hand can also generate at the NP via the term ${\bf 10} \cdot {\bf 10} \cdot {\bf{\bar 5}}^H \cdot{\bf{\bar 5}}^H \cdot {\bf{\bar 5}}^H \cdot {\bf{\bar 5}}^H $ the relevant quark masses by the use of just the $U(1)_b$ brane, for SU(5) and flipped SU(5) GUTS classes of models. We provide local examples of rigid O(1) instantons within the $T^6/{\mathbb Z}_2 \times {\mathbb Z}_2'$ toroidal orientifold with torsion, whose NP contribution to the masses gets minimal as it is induced by just a duplicated disk diagram.
[ { "created": "Tue, 30 Dec 2008 20:59:54 GMT", "version": "v1" }, { "created": "Tue, 13 Jan 2009 16:31:48 GMT", "version": "v2" } ]
2009-01-13
[ [ "Kokorelis", "Christos", "" ] ]
We examine the issue of generating the perturbatively absent ${\bf 10} \cdot {\bf 10} \cdot {{\bf 5}}^H$ SU(5)/flipped SU(5)Yukawa couplings in type II D-brane orientifold compactifications of string theory both at the perturbative (PER) and the non-perturbative (NP) level. We find at the PER level, higher order terms like $ {\bf 10} \cdot {\bf 10} \cdot {\bf{\bar 5}}^H \cdot{\bf{\bar 5}}^H \cdot {\bf{\bar 5}}^H \cdot {\bf{\bar 5}}^H \cdot {\bf 1}^H \cdot {\bf 1}^H$ in SU(5) may be responsible for the relevant quark mass generation in models with general intersecting D6-branes. Euclidean D2-brane instantons on the other hand can also generate at the NP via the term ${\bf 10} \cdot {\bf 10} \cdot {\bf{\bar 5}}^H \cdot{\bf{\bar 5}}^H \cdot {\bf{\bar 5}}^H \cdot {\bf{\bar 5}}^H $ the relevant quark masses by the use of just the $U(1)_b$ brane, for SU(5) and flipped SU(5) GUTS classes of models. We provide local examples of rigid O(1) instantons within the $T^6/{\mathbb Z}_2 \times {\mathbb Z}_2'$ toroidal orientifold with torsion, whose NP contribution to the masses gets minimal as it is induced by just a duplicated disk diagram.
1403.5253
Mark Hertzberg
Mark P. Hertzberg
Inflation, Symmetry, and B-Modes
9 pages in double column format. V2: Updated to coincide with version published in Physics Letters B
Phys. Lett. B 745 (2015) 118-124
10.1016/j.physletb.2015.04.031
MIT-CTP 4356
hep-th astro-ph.CO gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We examine the role of using symmetry and effective field theory in inflationary model building. We describe the standard formulation of starting with an approximate shift symmetry for a scalar field, and then introducing corrections systematically in order to maintain control over the inflationary potential. We find that this leads to models in good agreement with recent data. On the other hand, there are attempts in the literature to deviate from this paradigm by invoking other symmetries and corrections. In particular: in a suite of recent papers, several authors have made the claim that standard Einstein gravity with a cosmological constant and a massless scalar carries conformal symmetry. They further claim that such a theory carries another hidden symmetry; a global SO(1,1) symmetry. By deforming around the global SO(1,1) symmetry, they are able to produce a range of inflationary models with asymptotically flat potentials, whose flatness is claimed to be protected by these symmetries. These models tend to give rise to B-modes with small amplitude. Here we explain that these authors are merely introducing a redundancy into the description, not an actual conformal symmetry. Furthermore, we explain that the only real (global) symmetry in these models is not at all hidden, but is completely manifest when expressed in the Einstein frame; it is in fact the shift symmetry of a scalar field. When analyzed systematically as an effective field theory, deformations do not generally produce asymptotically flat potentials and small B-modes, but other types of potentials with B-modes of appreciable amplitude. Such simple models typically also produce the observed red spectral index, Gaussian fluctuations, etc. In short: simple models of inflation, organized by expanding around a shift symmetry, are in excellent agreement with recent data.
[ { "created": "Thu, 20 Mar 2014 19:56:33 GMT", "version": "v1" }, { "created": "Mon, 27 Jul 2015 21:48:18 GMT", "version": "v2" } ]
2015-07-29
[ [ "Hertzberg", "Mark P.", "" ] ]
We examine the role of using symmetry and effective field theory in inflationary model building. We describe the standard formulation of starting with an approximate shift symmetry for a scalar field, and then introducing corrections systematically in order to maintain control over the inflationary potential. We find that this leads to models in good agreement with recent data. On the other hand, there are attempts in the literature to deviate from this paradigm by invoking other symmetries and corrections. In particular: in a suite of recent papers, several authors have made the claim that standard Einstein gravity with a cosmological constant and a massless scalar carries conformal symmetry. They further claim that such a theory carries another hidden symmetry; a global SO(1,1) symmetry. By deforming around the global SO(1,1) symmetry, they are able to produce a range of inflationary models with asymptotically flat potentials, whose flatness is claimed to be protected by these symmetries. These models tend to give rise to B-modes with small amplitude. Here we explain that these authors are merely introducing a redundancy into the description, not an actual conformal symmetry. Furthermore, we explain that the only real (global) symmetry in these models is not at all hidden, but is completely manifest when expressed in the Einstein frame; it is in fact the shift symmetry of a scalar field. When analyzed systematically as an effective field theory, deformations do not generally produce asymptotically flat potentials and small B-modes, but other types of potentials with B-modes of appreciable amplitude. Such simple models typically also produce the observed red spectral index, Gaussian fluctuations, etc. In short: simple models of inflation, organized by expanding around a shift symmetry, are in excellent agreement with recent data.
2004.09278
Julien Roussillon
Jonatan Lenells and Julien Roussillon
Confluent Conformal Blocks of the Second Kind
30 pages
null
10.1007/JHEP06(2020)133
null
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct confluent conformal blocks of the second kind of the Virasoro algebra. We also construct the Stokes transformations which map such blocks in one Stokes sector to another. In the BPZ limit, we verify explicitly that the constructed blocks and the associated Stokes transformations reduce to solutions of the confluent BPZ equation and its Stokes matrices, respectively. Both the confluent conformal blocks and the Stokes transformations are constructed by taking suitable confluent limits of the crossing transformations of the four-point Virasoro conformal blocks.
[ { "created": "Mon, 20 Apr 2020 13:34:31 GMT", "version": "v1" } ]
2020-07-15
[ [ "Lenells", "Jonatan", "" ], [ "Roussillon", "Julien", "" ] ]
We construct confluent conformal blocks of the second kind of the Virasoro algebra. We also construct the Stokes transformations which map such blocks in one Stokes sector to another. In the BPZ limit, we verify explicitly that the constructed blocks and the associated Stokes transformations reduce to solutions of the confluent BPZ equation and its Stokes matrices, respectively. Both the confluent conformal blocks and the Stokes transformations are constructed by taking suitable confluent limits of the crossing transformations of the four-point Virasoro conformal blocks.
2301.13127
Alan Hern\'andez
A.I. Hern\'andez-Ju\'arez, G. Tavares-Velasco and A. Fern\'andez-T\'ellez
A new evaluation of the $HZZ$ coupling: direct bounds on anomalous contributions and $CP$ violating effects via a new asymmetry
Similar to the PRD publication
null
10.1103/PhysRevD.107.115031
null
hep-ph
http://creativecommons.org/licenses/by/4.0/
The standard model (SM) one-loop contributions to the most general $H^*Z^*Z^*$ coupling are obtained via the background field method in terms of Passarino-Veltman scalar functions, from which the contributions to the $H^*ZZ$ and $HZZ^*$ couplings are obtained in terms of two $CP$-conserving $h_{1,2}^V$ and one $CP$-violating $h_3^V$ form factors ($V=H, Z$). The current CMS constraints on the $HZZ$ coupling ratios are then used to obtain bounds on the real and absorptive parts of the anomalous $HZZ$ couplings. The former are up to two orders of magnitude tighter than previous ones, whereas the latter are the first one of this kind. The effects of the absorptive parts of the $HZZ$ anomalous couplings, which have been overlooked in the past, are analyzed via the partial decay width $\Gamma_{H^\ast\rightarrow ZZ}$, and a significant deviation from the SM tree-level contribution is observed at low energies, though it becomes negligible at high energies. We also explore the possibility that polarized $Z$ gauge bosons are used for the study of non-SM $HZZ$ contributions via a new left-right asymmetry $\mathcal{A}_{LR}$, which is sensitive to $CP$-violating complex form factors and can be as large as the unity at most, though in a more conservative scenario it is four to five orders of magnitude larger than the SM prediction arising up to the three-loop level. The partial decay widths $\Gamma_{H^\ast\rightarrow Z_LZ_L}$ and $\Gamma_{H^\ast\rightarrow Z_RZ_R}$ are also studied in several scenarios and it is observed that the deviations from the SM can be large at high energies and increases as the energy increases. Thus, the use of polarized $Z$ gauge bosons could give hints of $CP$ violation. The Mathematica code for our analytical results and the numerical evaluation is available in our GitLab site.
[ { "created": "Mon, 30 Jan 2023 18:05:40 GMT", "version": "v1" }, { "created": "Wed, 22 Feb 2023 19:58:49 GMT", "version": "v2" }, { "created": "Thu, 23 Mar 2023 00:47:51 GMT", "version": "v3" }, { "created": "Fri, 21 Apr 2023 21:46:04 GMT", "version": "v4" }, { "created": "Tue, 27 Jun 2023 23:13:21 GMT", "version": "v5" } ]
2023-06-29
[ [ "Hernández-Juárez", "A. I.", "" ], [ "Tavares-Velasco", "G.", "" ], [ "Fernández-Téllez", "A.", "" ] ]
The standard model (SM) one-loop contributions to the most general $H^*Z^*Z^*$ coupling are obtained via the background field method in terms of Passarino-Veltman scalar functions, from which the contributions to the $H^*ZZ$ and $HZZ^*$ couplings are obtained in terms of two $CP$-conserving $h_{1,2}^V$ and one $CP$-violating $h_3^V$ form factors ($V=H, Z$). The current CMS constraints on the $HZZ$ coupling ratios are then used to obtain bounds on the real and absorptive parts of the anomalous $HZZ$ couplings. The former are up to two orders of magnitude tighter than previous ones, whereas the latter are the first one of this kind. The effects of the absorptive parts of the $HZZ$ anomalous couplings, which have been overlooked in the past, are analyzed via the partial decay width $\Gamma_{H^\ast\rightarrow ZZ}$, and a significant deviation from the SM tree-level contribution is observed at low energies, though it becomes negligible at high energies. We also explore the possibility that polarized $Z$ gauge bosons are used for the study of non-SM $HZZ$ contributions via a new left-right asymmetry $\mathcal{A}_{LR}$, which is sensitive to $CP$-violating complex form factors and can be as large as the unity at most, though in a more conservative scenario it is four to five orders of magnitude larger than the SM prediction arising up to the three-loop level. The partial decay widths $\Gamma_{H^\ast\rightarrow Z_LZ_L}$ and $\Gamma_{H^\ast\rightarrow Z_RZ_R}$ are also studied in several scenarios and it is observed that the deviations from the SM can be large at high energies and increases as the energy increases. Thus, the use of polarized $Z$ gauge bosons could give hints of $CP$ violation. The Mathematica code for our analytical results and the numerical evaluation is available in our GitLab site.
1102.0789
John F. Donoghue
Mohamed M. Anber, John F. Donoghue
The emergence of a universal limiting speed
13 pages, 3 figures, Some references added
Phys.Rev.D83:105027,2011
10.1103/PhysRevD.83.105027
null
hep-th hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We display several examples of how fields with different limiting velocities (the "speed of light") at a high energy scale can nevertheless have a common limiting velocity at low energies due to the effects of interactions. We evaluate the interplay of the velocities through the self-energy diagrams and use the renormalization group to evolve the system to low energy. The differences normally vanish only logarithmically, so that an exponentially large energy trajectory is required in order to satisfy experimental constraints. However, we also display a model in which the running is power-law, which could be more phenomenologically useful. The largest velocity difference should be in system with the weakest interaction, which suggests that the study of the speed of gravitational waves would be the most stringent test of this phenomenon.
[ { "created": "Thu, 3 Feb 2011 21:19:43 GMT", "version": "v1" }, { "created": "Fri, 25 Mar 2011 09:18:32 GMT", "version": "v2" } ]
2011-06-07
[ [ "Anber", "Mohamed M.", "" ], [ "Donoghue", "John F.", "" ] ]
We display several examples of how fields with different limiting velocities (the "speed of light") at a high energy scale can nevertheless have a common limiting velocity at low energies due to the effects of interactions. We evaluate the interplay of the velocities through the self-energy diagrams and use the renormalization group to evolve the system to low energy. The differences normally vanish only logarithmically, so that an exponentially large energy trajectory is required in order to satisfy experimental constraints. However, we also display a model in which the running is power-law, which could be more phenomenologically useful. The largest velocity difference should be in system with the weakest interaction, which suggests that the study of the speed of gravitational waves would be the most stringent test of this phenomenon.
1802.06733
Thomas Helfer
Thomas Helfer, Eugene A. Lim, Marcos A. G. Garcia, Mustafa A. Amin
Gravitational Wave Emission from Collisions of Compact Scalar Solitons
8 Pages, 8 figures, movies : https://www.youtube.com/playlist?list=PLSkfizpQDrcahgvc5TvBk5qtXAzkSyHPe
Phys. Rev. D 99, 044046 (2019)
10.1103/PhysRevD.99.044046
null
gr-qc astro-ph.CO hep-ph hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We numerically investigate the gravitational waves generated by the head-on collision of equal-mass, self-gravitating, real scalar field solitons (oscillatons) as a function of their compactness $\mathcal{C}$. We show that there exist three different possible outcomes for such collisions: (1) an excited stable oscillaton for low $\mathcal{C}$, (2) a merger and formation of a black-hole for intermediate $\mathcal{C}$, and (3) a pre-merger collapse of both oscillatons into individual black-holes for large $\mathcal{C}$. For (1), the excited, aspherical oscillaton continues to emit gravitational waves. For (2), the total energy in gravitational waves emitted increases with compactness, and possesses a maximum which is greater than that from the merger of a pair of equivalent mass black-holes. The initial amplitudes of the quasi-normal modes in the post-merger ring-down in this case are larger than that of corresponding mass black-holes -- potentially a key observable to distinguish black-hole mergers with their scalar mimics. For (3), the gravitational wave output is indistinguishable from a similar mass, black-hole--black-hole merger.
[ { "created": "Mon, 19 Feb 2018 18:00:19 GMT", "version": "v1" }, { "created": "Wed, 28 Feb 2018 09:52:27 GMT", "version": "v2" }, { "created": "Wed, 28 Mar 2018 18:31:28 GMT", "version": "v3" }, { "created": "Mon, 25 Mar 2019 19:45:14 GMT", "version": "v4" } ]
2019-03-27
[ [ "Helfer", "Thomas", "" ], [ "Lim", "Eugene A.", "" ], [ "Garcia", "Marcos A. G.", "" ], [ "Amin", "Mustafa A.", "" ] ]
We numerically investigate the gravitational waves generated by the head-on collision of equal-mass, self-gravitating, real scalar field solitons (oscillatons) as a function of their compactness $\mathcal{C}$. We show that there exist three different possible outcomes for such collisions: (1) an excited stable oscillaton for low $\mathcal{C}$, (2) a merger and formation of a black-hole for intermediate $\mathcal{C}$, and (3) a pre-merger collapse of both oscillatons into individual black-holes for large $\mathcal{C}$. For (1), the excited, aspherical oscillaton continues to emit gravitational waves. For (2), the total energy in gravitational waves emitted increases with compactness, and possesses a maximum which is greater than that from the merger of a pair of equivalent mass black-holes. The initial amplitudes of the quasi-normal modes in the post-merger ring-down in this case are larger than that of corresponding mass black-holes -- potentially a key observable to distinguish black-hole mergers with their scalar mimics. For (3), the gravitational wave output is indistinguishable from a similar mass, black-hole--black-hole merger.
2303.15929
Marc Lilley
Olaf Hartwig, Marc Lilley, Martina Muratore, Mauro Pieroni
Stochastic gravitational wave background reconstruction for a non-equilateral and unequal-noise LISA constellation
31 pages, 13 figures, and supplementary material
Phys.Rev.D 107 (2023) 12, 123531
10.1103/PhysRevD.107.123531
null
gr-qc astro-ph.CO
http://creativecommons.org/licenses/by/4.0/
We explore the impact of choosing different sets of Time-Delay Interferometry (TDI) variables for detecting and reconstructing Stochastic Gravitational Wave Background (SGWB) signals and estimating the instrumental noise in LISA. Most works in the literature build their data analysis pipelines relying on a particular set of TDI channels, the so-called AET variables, which are orthogonal under idealized conditions. By relaxing the assumption of a perfectly equilateral LISA configuration, we investigate to which degree these channels remain orthogonal and compare them to other TDI channels. We show that different sets of TDI variables are more robust under perturbations of the perfect equilateral configuration, better preserving their orthogonality and, thus, leading to a more accurate estimate of the instrumental noise. Moreover, we investigate the impact of considering the noise levels associated with each instrumental noise source to be independent of one another, generalizing the analysis from two to twelve noise parameters. We find that, in this scenario, the assumption of orthogonality is broken for all the TDI variables, leading to a misestimation of measurement error for some of the noise parameters. Remarkably, we find that for a flat power-law signal, the reconstruction of the signal parameters is nearly unaffected in these various configurations.
[ { "created": "Tue, 28 Mar 2023 12:37:22 GMT", "version": "v1" } ]
2023-07-05
[ [ "Hartwig", "Olaf", "" ], [ "Lilley", "Marc", "" ], [ "Muratore", "Martina", "" ], [ "Pieroni", "Mauro", "" ] ]
We explore the impact of choosing different sets of Time-Delay Interferometry (TDI) variables for detecting and reconstructing Stochastic Gravitational Wave Background (SGWB) signals and estimating the instrumental noise in LISA. Most works in the literature build their data analysis pipelines relying on a particular set of TDI channels, the so-called AET variables, which are orthogonal under idealized conditions. By relaxing the assumption of a perfectly equilateral LISA configuration, we investigate to which degree these channels remain orthogonal and compare them to other TDI channels. We show that different sets of TDI variables are more robust under perturbations of the perfect equilateral configuration, better preserving their orthogonality and, thus, leading to a more accurate estimate of the instrumental noise. Moreover, we investigate the impact of considering the noise levels associated with each instrumental noise source to be independent of one another, generalizing the analysis from two to twelve noise parameters. We find that, in this scenario, the assumption of orthogonality is broken for all the TDI variables, leading to a misestimation of measurement error for some of the noise parameters. Remarkably, we find that for a flat power-law signal, the reconstruction of the signal parameters is nearly unaffected in these various configurations.
1611.04607
Mudassir Moosa
Raphael Bousso, Mudassir Moosa
Dynamics and Observer-Dependence of Holographic Screens
18 pages, 6 figures
Phys. Rev. D 95, 046005 (2017)
10.1103/PhysRevD.95.046005
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the evolution of holographic screens, both generally and in explicit examples, including cosmology and gravitational collapse. A screen $H$ consists of a one-parameter sequence of maximal surfaces called leaves. Its causal structure is nonrelativistic. Each leaf can store all of the quantum information on a corresponding null slice holographically, at no more than one bit per Planck area. Therefore, we expect the screen geometry to reflect certain coarse-grained quantities in the quantum gravity theory. In a given spacetime, there are many different screens, which are naturally associated to different observers. We find that this ambiguity corresponds precisely to the free choice of a single function on $H$. We also consider the background-free construction of $H$, where the spacetime is not given. The evolution equations then constrain aspects of the full spacetime and the screen's embedding in it.
[ { "created": "Mon, 14 Nov 2016 21:00:14 GMT", "version": "v1" } ]
2017-02-22
[ [ "Bousso", "Raphael", "" ], [ "Moosa", "Mudassir", "" ] ]
We study the evolution of holographic screens, both generally and in explicit examples, including cosmology and gravitational collapse. A screen $H$ consists of a one-parameter sequence of maximal surfaces called leaves. Its causal structure is nonrelativistic. Each leaf can store all of the quantum information on a corresponding null slice holographically, at no more than one bit per Planck area. Therefore, we expect the screen geometry to reflect certain coarse-grained quantities in the quantum gravity theory. In a given spacetime, there are many different screens, which are naturally associated to different observers. We find that this ambiguity corresponds precisely to the free choice of a single function on $H$. We also consider the background-free construction of $H$, where the spacetime is not given. The evolution equations then constrain aspects of the full spacetime and the screen's embedding in it.
1105.2495
Pijush Kanti Ghosh
Pijush K. Ghosh
Deconstructing non-dissipative non-Dirac-hermitian relativistic quantum systems
11 pages, LaTeX, no figures
Phys.Lett.A375:3250-3254,2011
10.1016/j.physleta.2011.07.025
null
hep-th quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
A method to construct non-dissipative non-Dirac-hermitian relativistic quantum system that is isospectral with a Dirac-hermitian Hamiltonian is presented. The general technique involves a realization of the basic canonical (anti-)commutation relations involving the Dirac matrices and the bosonic degrees of freedom in terms of non-Dirac-hermitian operators, which are hermitian in a Hilbert space that is endowed with a pre-determined positive-definite metric. Several examples of exactly solvable non-dissipative non-Dirac-hermitian relativistic quantum systems are presented by establishing/employing a connection between Dirac equation and supersymmetry
[ { "created": "Thu, 12 May 2011 14:53:22 GMT", "version": "v1" } ]
2011-08-17
[ [ "Ghosh", "Pijush K.", "" ] ]
A method to construct non-dissipative non-Dirac-hermitian relativistic quantum system that is isospectral with a Dirac-hermitian Hamiltonian is presented. The general technique involves a realization of the basic canonical (anti-)commutation relations involving the Dirac matrices and the bosonic degrees of freedom in terms of non-Dirac-hermitian operators, which are hermitian in a Hilbert space that is endowed with a pre-determined positive-definite metric. Several examples of exactly solvable non-dissipative non-Dirac-hermitian relativistic quantum systems are presented by establishing/employing a connection between Dirac equation and supersymmetry
2403.07045
Lidia J. Gomes Da Silva Miss
Juan A. Valiente Kroon, Lidia J. Gomes Da Silva
The \v{d}Alembert solution in hyperboloidal foliations
15 pages, 7 figures. Submitted to Springer's topical collection: "Hyperboloidal foliations in the era of gravitational-wave astronomy: from mathematical relativity to astrophysics". Comments welcomed
null
null
null
gr-qc astro-ph.IM math-ph math.MP physics.comp-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We explicitly construct the analogue of the \v{d}Alembert solution to the 1+1 wave equation in an hyperboloidal setting. This hyperboloidal \v{d}Alembert solution is used, in turn, to gain intuition into the behaviour of solutions to the wave equation in a hyperboloidal foliation and to explain some apparently anomalous behaviour observed in numerically constructed solutions discussed in the literature.
[ { "created": "Mon, 11 Mar 2024 18:00:00 GMT", "version": "v1" } ]
2024-03-13
[ [ "Kroon", "Juan A. Valiente", "" ], [ "Da Silva", "Lidia J. Gomes", "" ] ]
We explicitly construct the analogue of the \v{d}Alembert solution to the 1+1 wave equation in an hyperboloidal setting. This hyperboloidal \v{d}Alembert solution is used, in turn, to gain intuition into the behaviour of solutions to the wave equation in a hyperboloidal foliation and to explain some apparently anomalous behaviour observed in numerically constructed solutions discussed in the literature.
1502.01990
Rafael Maldonado
R. Maldonado, N. S. Manton
Analytic vortex solutions on compact hyperbolic surfaces
21 pages, 6 figures
J. Phys. A: Math. Theor. 48 (2015) 245403
10.1088/1751-8113/48/24/245403
DAMTP-2015-9
hep-th math-ph math.MP nlin.SI
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We construct, for the first time, Abelian-Higgs vortices on certain compact surfaces of constant negative curvature. Such surfaces are represented by a tessellation of the hyperbolic plane by regular polygons. The Higgs field is given implicitly in terms of Schwarz triangle functions and analytic solutions are available for certain highly symmetric configurations.
[ { "created": "Fri, 6 Feb 2015 19:04:16 GMT", "version": "v1" } ]
2015-05-29
[ [ "Maldonado", "R.", "" ], [ "Manton", "N. S.", "" ] ]
We construct, for the first time, Abelian-Higgs vortices on certain compact surfaces of constant negative curvature. Such surfaces are represented by a tessellation of the hyperbolic plane by regular polygons. The Higgs field is given implicitly in terms of Schwarz triangle functions and analytic solutions are available for certain highly symmetric configurations.
1504.08324
Amir-Kian Kashani-Poor
Amir-Kian Kashani-Poor, Jan Troost
Pure N=2 Super Yang-Mills and Exact WKB
44 pages, 5 figures
null
null
null
hep-th math-ph math.MP
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We apply exact WKB methods to the study of the partition function of pure N=2 epsilon_i-deformed gauge theory in four dimensions in the context of the 2d/4d correspondence. We study the partition function at leading order in epsilon_2/epsilon_1 (i.e. at large central charge) and in an expansion in epsilon_1. We find corrections of the form ~ exp[- SW periods / epsilon_1] to this expansion. We attribute these to the exchange of the order of summation over gauge instanton number and over powers of epsilon_1 when passing from the Nekrasov form of the partition function to the topological string theory inspired form. We conjecture that such corrections should be computable from a worldsheet perspective on the partition function. Our results follow upon the determination of the Stokes graphs associated to the Mathieu equation with complex parameters and the application of exact WKB techniques to compute the Mathieu characteristic exponent.
[ { "created": "Thu, 30 Apr 2015 18:08:01 GMT", "version": "v1" } ]
2015-05-01
[ [ "Kashani-Poor", "Amir-Kian", "" ], [ "Troost", "Jan", "" ] ]
We apply exact WKB methods to the study of the partition function of pure N=2 epsilon_i-deformed gauge theory in four dimensions in the context of the 2d/4d correspondence. We study the partition function at leading order in epsilon_2/epsilon_1 (i.e. at large central charge) and in an expansion in epsilon_1. We find corrections of the form ~ exp[- SW periods / epsilon_1] to this expansion. We attribute these to the exchange of the order of summation over gauge instanton number and over powers of epsilon_1 when passing from the Nekrasov form of the partition function to the topological string theory inspired form. We conjecture that such corrections should be computable from a worldsheet perspective on the partition function. Our results follow upon the determination of the Stokes graphs associated to the Mathieu equation with complex parameters and the application of exact WKB techniques to compute the Mathieu characteristic exponent.
hep-th/0403039
Hitoshi Nishino
Hitoshi Nishino and Subhash Rajpoot
Broken Scale Invariance in the Standard Model
9 pages, no figures
null
null
CSULB-PA-04-2
hep-th hep-ph
null
We introduce Weyl's scale invariance as an additional local symmetry in the standard model of electroweak interactions. An inevitable consequence is the introduction of general relativity coupled to scalar fields a la Dirac and an additional vector particle we call the Weylon. We show that once Weyl's scale invariance is broken, the phenomenon (a) generates Newton's gravitational constant G_N and (b) triggers spontaneous symmetry breaking in the normal manner resulting in masses for the conventional fermions and bosons. The scale at which Weyl's scale symmetry breaks is of order Planck mass. If right-handed neutrinos are also introduced, their absence at present energy scales is attributed to their mass which is tied to the scale where scale invariance breaks.
[ { "created": "Tue, 2 Mar 2004 23:41:53 GMT", "version": "v1" } ]
2007-05-23
[ [ "Nishino", "Hitoshi", "" ], [ "Rajpoot", "Subhash", "" ] ]
We introduce Weyl's scale invariance as an additional local symmetry in the standard model of electroweak interactions. An inevitable consequence is the introduction of general relativity coupled to scalar fields a la Dirac and an additional vector particle we call the Weylon. We show that once Weyl's scale invariance is broken, the phenomenon (a) generates Newton's gravitational constant G_N and (b) triggers spontaneous symmetry breaking in the normal manner resulting in masses for the conventional fermions and bosons. The scale at which Weyl's scale symmetry breaks is of order Planck mass. If right-handed neutrinos are also introduced, their absence at present energy scales is attributed to their mass which is tied to the scale where scale invariance breaks.
hep-th/0609031
Vladimir Miransky
Alex Buchel, Junji Jia, and V.A. Miransky
Dynamical stabilization of runaway potentials at finite density
revtex4, 4 pages; v.2: journal version
Phys.Lett.B647:305-308,2007
10.1016/j.physletb.2007.02.010
UWO-TH-06/14
hep-th cond-mat.supr-con hep-ph
null
We study four dimensional non-abelian gauge theories with classical moduli. Introducing a chemical potential for a flavor charge causes moduli to become unstable and start condensing. We show that the moduli condensation in the presence of a chemical potential generates nonabelian field strength condensates. These condensates are homogeneous but non-isotropic. The end point of the condensation process is a stable homogeneous, but non-isotropic, vacuum in which both gauge and flavor symmetries and the rotational invariance are spontaneously broken. Possible applications of this phenomenon for the gauge theory/string theory correspondence and in cosmology are briefly discussed.
[ { "created": "Mon, 4 Sep 2006 18:08:00 GMT", "version": "v1" }, { "created": "Sun, 25 Mar 2007 02:41:37 GMT", "version": "v2" } ]
2008-11-26
[ [ "Buchel", "Alex", "" ], [ "Jia", "Junji", "" ], [ "Miransky", "V. A.", "" ] ]
We study four dimensional non-abelian gauge theories with classical moduli. Introducing a chemical potential for a flavor charge causes moduli to become unstable and start condensing. We show that the moduli condensation in the presence of a chemical potential generates nonabelian field strength condensates. These condensates are homogeneous but non-isotropic. The end point of the condensation process is a stable homogeneous, but non-isotropic, vacuum in which both gauge and flavor symmetries and the rotational invariance are spontaneously broken. Possible applications of this phenomenon for the gauge theory/string theory correspondence and in cosmology are briefly discussed.
2009.01926
Romain Ruzziconi
Romain Ruzziconi
On the Various Extensions of the BMS Group
PhD Thesis, 204 pages, 2 figures
null
null
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Bondi-Metzner-Sachs-van der Burg (BMS) group is the asymptotic symmetry group of radiating asymptotically flat spacetimes. It has recently received renewed interest in the context of the flat holography and the infrared structure of gravity. In this thesis, we investigate the consequences of considering extensions of the BMS group in four dimensions with superrotations. In particular, we apply the covariant phase space methods on a class of first order gauge theories that includes the Cartan formulation of general relativity and specify this analysis to gravity in asymptotically flat spacetime. Furthermore, we renormalize the symplectic structure at null infinity to obtain the generalized BMS charge algebra associated with smooth superrotations. We then study the vacuum structure of the gravitational field, which allows us to relate the so-called superboost transformations to the velocity kick/refraction memory effect. Afterward, we propose a new set of boundary conditions in asymptotically locally (A)dS spacetime that leads to a version of the BMS group in the presence of a non-vanishing cosmological constant, called the $\Lambda$-BMS asymptotic symmetry group. Using the holographic renormalization procedure and a diffeomorphism between Bondi and Fefferman-Graham gauges, we construct the phase space of $\Lambda$-BMS and show that it reduces to the one of the generalized BMS group in the flat limit.
[ { "created": "Thu, 3 Sep 2020 21:05:56 GMT", "version": "v1" } ]
2020-09-07
[ [ "Ruzziconi", "Romain", "" ] ]
The Bondi-Metzner-Sachs-van der Burg (BMS) group is the asymptotic symmetry group of radiating asymptotically flat spacetimes. It has recently received renewed interest in the context of the flat holography and the infrared structure of gravity. In this thesis, we investigate the consequences of considering extensions of the BMS group in four dimensions with superrotations. In particular, we apply the covariant phase space methods on a class of first order gauge theories that includes the Cartan formulation of general relativity and specify this analysis to gravity in asymptotically flat spacetime. Furthermore, we renormalize the symplectic structure at null infinity to obtain the generalized BMS charge algebra associated with smooth superrotations. We then study the vacuum structure of the gravitational field, which allows us to relate the so-called superboost transformations to the velocity kick/refraction memory effect. Afterward, we propose a new set of boundary conditions in asymptotically locally (A)dS spacetime that leads to a version of the BMS group in the presence of a non-vanishing cosmological constant, called the $\Lambda$-BMS asymptotic symmetry group. Using the holographic renormalization procedure and a diffeomorphism between Bondi and Fefferman-Graham gauges, we construct the phase space of $\Lambda$-BMS and show that it reduces to the one of the generalized BMS group in the flat limit.
hep-th/9607233
Yutaka Hosotani
Pang-Ning Tan, Bayram Tekin and Yutaka Hosotani (Univ of Minnesota)
Spontaneous Symmetry Breaking at Two Loop in 3-d Massless Scalar Electrodynamics
15 pages. LaTex. Theorem 3 is added
Phys.Lett. B388 (1996) 611-620
10.1016/S0370-2693(96)01191-4
UMN-TH-1505/96
hep-th cond-mat
null
In three dimensional Maxwell-Chern-Simons massless scalar electrodynamics with $ \phi^6$ coupling, the $U(1)$ symmetry is spontaneously broken at two loop order regardless of the presence or absence of the Maxwell term. Dimensional transmutation takes place in pure Chern-Simons scalar electrodynamics. The beta function for the $\phi^6$ coupling is independent of gauge couplings.
[ { "created": "Tue, 30 Jul 1996 20:18:36 GMT", "version": "v1" }, { "created": "Fri, 23 Aug 1996 15:23:07 GMT", "version": "v2" } ]
2015-06-26
[ [ "Tan", "Pang-Ning", "", "Univ of Minnesota" ], [ "Tekin", "Bayram", "", "Univ of Minnesota" ], [ "Hosotani", "Yutaka", "", "Univ of Minnesota" ] ]
In three dimensional Maxwell-Chern-Simons massless scalar electrodynamics with $ \phi^6$ coupling, the $U(1)$ symmetry is spontaneously broken at two loop order regardless of the presence or absence of the Maxwell term. Dimensional transmutation takes place in pure Chern-Simons scalar electrodynamics. The beta function for the $\phi^6$ coupling is independent of gauge couplings.
1602.05959
Johan Bl{\aa}b\"ack
Iosif Bena, Johan Bl{\aa}b\"ack, David Turton
Loop corrections to the antibrane potential
27 pages, 5 figures, v2: Added clarification of statements, version accepted for publication in JHEP
JHEP 1607 (2016) 132
10.1007/JHEP07(2016)132
IPHT-T16/012
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Antibranes provide some of the most generic ways to uplift Anti-de Sitter flux compactifications to de Sitter, and there is a growing body of evidence that antibranes placed in long warped throats such as the Klebanov-Strassler warped deformed conifold solution have a brane-brane-repelling tachyon. This tachyon was first found in the regime of parameters in which the backreaction of the antibranes is large, and its existence was inferred from a highly nontrivial cancellation of certain terms in the inter-brane potential. We use a brane effective action approach, similar to that proposed by Michel, Mintun, Polchinski, Puhm and Saad in arXiv:1412.5702, to analyze antibranes in Klebanov-Strassler when their backreaction is small, and find a regime of parameters where all perturbative contributions to the action can be computed explicitly. We find that the cancellation found at strong coupling is also present in the weak-coupling regime, and we establish its existence to all loops. Our calculation indicates that the spectrum of the antibrane worldvolume theory is not gapped, and may generically have a tachyon. Hence uplifting mechanisms involving antibranes remain questionable even when backreaction is small.
[ { "created": "Thu, 18 Feb 2016 21:00:03 GMT", "version": "v1" }, { "created": "Wed, 20 Jul 2016 13:34:25 GMT", "version": "v2" } ]
2016-08-04
[ [ "Bena", "Iosif", "" ], [ "Blåbäck", "Johan", "" ], [ "Turton", "David", "" ] ]
Antibranes provide some of the most generic ways to uplift Anti-de Sitter flux compactifications to de Sitter, and there is a growing body of evidence that antibranes placed in long warped throats such as the Klebanov-Strassler warped deformed conifold solution have a brane-brane-repelling tachyon. This tachyon was first found in the regime of parameters in which the backreaction of the antibranes is large, and its existence was inferred from a highly nontrivial cancellation of certain terms in the inter-brane potential. We use a brane effective action approach, similar to that proposed by Michel, Mintun, Polchinski, Puhm and Saad in arXiv:1412.5702, to analyze antibranes in Klebanov-Strassler when their backreaction is small, and find a regime of parameters where all perturbative contributions to the action can be computed explicitly. We find that the cancellation found at strong coupling is also present in the weak-coupling regime, and we establish its existence to all loops. Our calculation indicates that the spectrum of the antibrane worldvolume theory is not gapped, and may generically have a tachyon. Hence uplifting mechanisms involving antibranes remain questionable even when backreaction is small.
1505.00069
Carlos Andres Escobar Ruiz
Carlos A. Escobar and Marcos A. G. Garcia
The full CPT-even photon sector of the Standard Model Extension at finite temperature
11 pages, 1 figure
Phys. Rev. D 92, 025034 (2015)
10.1103/PhysRevD.92.025034
FTPI-MINN-15/21
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We study the finite temperature behavior of the CPT-even pure-photon sector of the Standard Model Extension, which is defined by the standard Maxwell Lagrangian plus the term $(k_F)_{\mu\nu\alpha\beta}F^{\mu\nu}F^{\alpha\beta}$. The Hamiltonian analysis is performed, from which the degrees of freedom and constraints of the theory are derived. We have explicitly calculated the partition function for an arbitrary configuration of the $(k_F)_{\mu\nu\alpha\beta}$ coefficients, to second order, and we have used it to obtain the thermodynamic properties of the modified photon sector. We find the correction to the frequency dependence in Planck's radiation law, and we identify that the total energy density is adjusted, relative to the standard scenario, by a global proportionality constant containing the Lorentz-violating contributions. Nevertheless, the equation of state is not affected by these modifications.
[ { "created": "Fri, 1 May 2015 02:19:49 GMT", "version": "v1" } ]
2015-07-29
[ [ "Escobar", "Carlos A.", "" ], [ "Garcia", "Marcos A. G.", "" ] ]
We study the finite temperature behavior of the CPT-even pure-photon sector of the Standard Model Extension, which is defined by the standard Maxwell Lagrangian plus the term $(k_F)_{\mu\nu\alpha\beta}F^{\mu\nu}F^{\alpha\beta}$. The Hamiltonian analysis is performed, from which the degrees of freedom and constraints of the theory are derived. We have explicitly calculated the partition function for an arbitrary configuration of the $(k_F)_{\mu\nu\alpha\beta}$ coefficients, to second order, and we have used it to obtain the thermodynamic properties of the modified photon sector. We find the correction to the frequency dependence in Planck's radiation law, and we identify that the total energy density is adjusted, relative to the standard scenario, by a global proportionality constant containing the Lorentz-violating contributions. Nevertheless, the equation of state is not affected by these modifications.
1811.01952
Sandipan Kundu
Nima Afkhami-Jeddi, Sandipan Kundu, Amirhossein Tajdini
A Bound on Massive Higher Spin Particles
52 pages + appendices, 7 figures; minor changes, conclusions unchanged
null
10.1007/JHEP04(2019)056
null
hep-th gr-qc hep-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
According to common lore, massive elementary higher spin particles lead to inconsistencies when coupled to gravity. However, this scenario was not completely ruled out by previous arguments. In this paper, we show that in a theory where the low energy dynamics of the gravitons are governed by the Einstein-Hilbert action, any finite number of massive elementary particles with spin more than two cannot interact with gravitons, even classically, in a way that preserves causality. This is achieved in flat spacetime by studying eikonal scattering of higher spin particles in more than three spacetime dimensions. Our argument is insensitive to the physics above the effective cut-off scale and closes certain loopholes in previous arguments. Furthermore, it applies to higher spin particles even if they do not contribute to tree-level graviton scattering as a consequence of being charged under a global symmetry such as $\mathbb{Z}_2$. We derive analogous bounds in anti-de Sitter spacetime from analyticity properties of correlators of the dual CFT in the Regge limit. We also argue that an infinite tower of fine-tuned higher spin particles can still be consistent with causality. However, they necessarily affect the dynamics of gravitons at an energy scale comparable to the mass of the lightest higher spin particle. Finally, we apply the bound in de Sitter to impose restrictions on the structure of three-point functions in the squeezed limit of the scalar curvature perturbation produced during inflation.
[ { "created": "Mon, 5 Nov 2018 19:00:00 GMT", "version": "v1" }, { "created": "Thu, 27 Dec 2018 13:23:32 GMT", "version": "v2" } ]
2019-05-01
[ [ "Afkhami-Jeddi", "Nima", "" ], [ "Kundu", "Sandipan", "" ], [ "Tajdini", "Amirhossein", "" ] ]
According to common lore, massive elementary higher spin particles lead to inconsistencies when coupled to gravity. However, this scenario was not completely ruled out by previous arguments. In this paper, we show that in a theory where the low energy dynamics of the gravitons are governed by the Einstein-Hilbert action, any finite number of massive elementary particles with spin more than two cannot interact with gravitons, even classically, in a way that preserves causality. This is achieved in flat spacetime by studying eikonal scattering of higher spin particles in more than three spacetime dimensions. Our argument is insensitive to the physics above the effective cut-off scale and closes certain loopholes in previous arguments. Furthermore, it applies to higher spin particles even if they do not contribute to tree-level graviton scattering as a consequence of being charged under a global symmetry such as $\mathbb{Z}_2$. We derive analogous bounds in anti-de Sitter spacetime from analyticity properties of correlators of the dual CFT in the Regge limit. We also argue that an infinite tower of fine-tuned higher spin particles can still be consistent with causality. However, they necessarily affect the dynamics of gravitons at an energy scale comparable to the mass of the lightest higher spin particle. Finally, we apply the bound in de Sitter to impose restrictions on the structure of three-point functions in the squeezed limit of the scalar curvature perturbation produced during inflation.
hep-th/0101050
Davide Fabbri
Davide Fabbri and Pietro Fr\`e
Shadow multiplets and superHiggs mechanism
10 pages, latex. To appear in the proceedings of the RTN conference ``The Quantum Structure of Spacetime and the Geometric Nature of Fundamental Interactions'' (Berlin, October 2000)
Fortsch.Phys. 49 (2001) 475-483
10.1002/1521-3978(200105)49:4/6<475::AID-PROP475>3.3.CO;2-Y
KUL-TH/2001/1
hep-th
null
We discuss a general feature of Freund Rubin compactifications that was previously overlooked. It consist in a curious pairing, which we call a shadow relation, of completely different (in terms of spin and mass) fields of the dimensionally reduced theory. Particularly interesting is the case where the compactification preserves a certain amount of supersymmetry, giving rise to a shadowing phenomenon between whole supermultiplets of fields. In particular, there are strong suggestions about the consistency of a massive truncation of 11D supergravity to the massless modes of the graviton supermultiplet plus the massive modes of its shadow partner. This fact has important consequences in the ${\cal N}=2$ and ${\cal N}=3$ cases, which seem to realize respectively a Higgs or a superHiggs phenomenon. In other words, we are led to reinterpret the dimensionally reduced theory as a spontaneously broken phase of some higher (super)symmetric theory.
[ { "created": "Tue, 9 Jan 2001 10:11:14 GMT", "version": "v1" } ]
2015-06-25
[ [ "Fabbri", "Davide", "" ], [ "Frè", "Pietro", "" ] ]
We discuss a general feature of Freund Rubin compactifications that was previously overlooked. It consist in a curious pairing, which we call a shadow relation, of completely different (in terms of spin and mass) fields of the dimensionally reduced theory. Particularly interesting is the case where the compactification preserves a certain amount of supersymmetry, giving rise to a shadowing phenomenon between whole supermultiplets of fields. In particular, there are strong suggestions about the consistency of a massive truncation of 11D supergravity to the massless modes of the graviton supermultiplet plus the massive modes of its shadow partner. This fact has important consequences in the ${\cal N}=2$ and ${\cal N}=3$ cases, which seem to realize respectively a Higgs or a superHiggs phenomenon. In other words, we are led to reinterpret the dimensionally reduced theory as a spontaneously broken phase of some higher (super)symmetric theory.
2008.10883
Koji Hashimoto
Koji Hashimoto
Building bulk from Wilson loops
12 pages; v2: references added, typos corrected
null
null
OU-HET-1071
hep-th gr-qc hep-lat
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We provide formulas for holographically building a bulk metric from given expectation values of rectangular Wilson loops. As a corollary, we prove that any confining quark potential necessarily leads to the existence of a bulk IR bottom.
[ { "created": "Tue, 25 Aug 2020 08:39:06 GMT", "version": "v1" }, { "created": "Wed, 23 Sep 2020 00:45:28 GMT", "version": "v2" } ]
2020-09-24
[ [ "Hashimoto", "Koji", "" ] ]
We provide formulas for holographically building a bulk metric from given expectation values of rectangular Wilson loops. As a corollary, we prove that any confining quark potential necessarily leads to the existence of a bulk IR bottom.
hep-th/9604010
Per Sundell
Alexander von Gussich and Per Sundell (Institute of Theoretical Physics, Chalmers University of Technology)
Finite Deformations of Conformal Field Theories Using Analytically Regularized Connections
21 pages, use Latex2e twice. Replaced version: minor corrections, additional Comment, additional reference
Nucl.Phys. B487 (1997) 445-466
10.1016/S0550-3213(96)00685-2
ITP 96-5
hep-th
null
We study some natural connections on spaces of conformal field theories using an analytical regularization method. The connections are based on marginal conformal field theory deformations. We show that the analytical regularization preserves conformal invariance and leads to integrability of the marginal deformations. The connections are shown to be flat and to generate well-defined finite parallel transport. These finite parallel transports yield formulations of the deformed theories in the state space of an undeformed theory. The restrictions of the connections to the tangent space are curved but free of torsion.
[ { "created": "Tue, 2 Apr 1996 12:33:17 GMT", "version": "v1" }, { "created": "Wed, 12 Jun 1996 12:50:47 GMT", "version": "v2" } ]
2009-10-30
[ [ "von Gussich", "Alexander", "", "Institute of Theoretical\n Physics, Chalmers University of Technology" ], [ "Sundell", "Per", "", "Institute of Theoretical\n Physics, Chalmers University of Technology" ] ]
We study some natural connections on spaces of conformal field theories using an analytical regularization method. The connections are based on marginal conformal field theory deformations. We show that the analytical regularization preserves conformal invariance and leads to integrability of the marginal deformations. The connections are shown to be flat and to generate well-defined finite parallel transport. These finite parallel transports yield formulations of the deformed theories in the state space of an undeformed theory. The restrictions of the connections to the tangent space are curved but free of torsion.
0910.5540
Kai-Nan Shao
Yi-Xin Chen, Jian-Long Li, Kai-Nan Shao
Logarithmic corrections to black hole and black ring entropy in tunneling approach
13 pages, rewritten
Europhys.Lett.95:10008,2011
10.1209/0295-5075/95/10008
null
hep-th gr-qc
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The tunneling approach beyond semiclassical approximation has been used to calculate the corrected Hawking temperature and entropy for various black holes and FRW universe model. We examine their derivations, and prove that the quantity $H$ in the corrected temperature is the explicit function of the only free parameter $\mathcal{A}$ (which is an auxiliary parameter defined by $\mathcal{A}=\hbar S_{BH}$). Our analysis improves previous calculations, and indicates that the leading order logarithmic correction to entropy is a natural result of the corrected temperature and the first law of thermodynamics. Additionally, we apply the tunneling approach beyond semiclassical approximation to neutral black rings. Based on the analysis, we show that the entropy of neutral black rings also has a logarithmic leading order correction.
[ { "created": "Thu, 29 Oct 2009 02:43:40 GMT", "version": "v1" }, { "created": "Sat, 31 Jul 2010 06:51:38 GMT", "version": "v2" } ]
2011-06-28
[ [ "Chen", "Yi-Xin", "" ], [ "Li", "Jian-Long", "" ], [ "Shao", "Kai-Nan", "" ] ]
The tunneling approach beyond semiclassical approximation has been used to calculate the corrected Hawking temperature and entropy for various black holes and FRW universe model. We examine their derivations, and prove that the quantity $H$ in the corrected temperature is the explicit function of the only free parameter $\mathcal{A}$ (which is an auxiliary parameter defined by $\mathcal{A}=\hbar S_{BH}$). Our analysis improves previous calculations, and indicates that the leading order logarithmic correction to entropy is a natural result of the corrected temperature and the first law of thermodynamics. Additionally, we apply the tunneling approach beyond semiclassical approximation to neutral black rings. Based on the analysis, we show that the entropy of neutral black rings also has a logarithmic leading order correction.
2011.11914
Petr Horava
Alexander Frenkel, Petr Horava, Stephen Randall
Perelman's Ricci Flow in Topological Quantum Gravity
31 pages, 1 figure
Adv. Theor. Math. Phys. 27 (2023) 745
10.4310/ATMP.2023.v27.n3.a3
null
hep-th gr-qc math-ph math.DG math.MP quant-ph
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
We find the regime of our recently constructed topological nonrelativistic quantum gravity, in which Perelman's Ricci flow equations on Riemannian manifolds appear precisely as the localization equations in the path integral. In this mapping between physics and mathematics, the role of Perelman's dilaton is played by our lapse function. Perelman's local fixed volume condition emerges dynamically as the $\lambda$ parameter in our kinetic term approaches $\lambda\to-\infty$. The DeTurck trick that decouples the metric flow from the dilaton flow is simply a gauge-fixing condition for the gauge symmetry of spatial diffeomorphisms. We show how Perelman's ${\cal F}$ and ${\cal W}$ entropy functionals are related to our superpotential. We explain the origin of Perelman's $\tau$ function, which appears in the ${\cal W}$ entropy functional for shrinking solitons, as the Goldstone mode associated with time translations and spatial rescalings: In fact, in our quantum gravity, Perelman's $\tau$ turns out to play the role of a dilaton for anisotropic scale transformations. The map between Perelman's flow and the localization equations in our topological quantum gravity requires an interesting redefinition of fields, which includes a reframing of the metric. With this embedding of Perelman's equations into topological quantum gravity, a wealth of mathematical results on the Ricci flow can now be imported into physics and reformulated in the language of quantum field theory.
[ { "created": "Tue, 24 Nov 2020 06:29:35 GMT", "version": "v1" } ]
2024-06-18
[ [ "Frenkel", "Alexander", "" ], [ "Horava", "Petr", "" ], [ "Randall", "Stephen", "" ] ]
We find the regime of our recently constructed topological nonrelativistic quantum gravity, in which Perelman's Ricci flow equations on Riemannian manifolds appear precisely as the localization equations in the path integral. In this mapping between physics and mathematics, the role of Perelman's dilaton is played by our lapse function. Perelman's local fixed volume condition emerges dynamically as the $\lambda$ parameter in our kinetic term approaches $\lambda\to-\infty$. The DeTurck trick that decouples the metric flow from the dilaton flow is simply a gauge-fixing condition for the gauge symmetry of spatial diffeomorphisms. We show how Perelman's ${\cal F}$ and ${\cal W}$ entropy functionals are related to our superpotential. We explain the origin of Perelman's $\tau$ function, which appears in the ${\cal W}$ entropy functional for shrinking solitons, as the Goldstone mode associated with time translations and spatial rescalings: In fact, in our quantum gravity, Perelman's $\tau$ turns out to play the role of a dilaton for anisotropic scale transformations. The map between Perelman's flow and the localization equations in our topological quantum gravity requires an interesting redefinition of fields, which includes a reframing of the metric. With this embedding of Perelman's equations into topological quantum gravity, a wealth of mathematical results on the Ricci flow can now be imported into physics and reformulated in the language of quantum field theory.
2109.04163
Steven Balbus
Steven A. Balbus
A Poynting theorem formulation for the gravitational wave stress pseudo tensor
8 pages, no figures. To appear in International Journal of Modern Physics D
null
10.1142/S0218271821420037
null
gr-qc
http://creativecommons.org/licenses/by/4.0/
A very simple and physical derivation of the conservation equation for the propagation of gravitational radiation is presented. The formulation is exact. The result takes the readily recognisable and intuitive form of a Poynting-style equation, in which the outward propagation of stress-energy is directly related to the volumetric equivalent of a radiation reaction force acting back upon the sources, including the purely gravitational contribution to the sources. Upon averaging, the emergent pseudo tensor for the gravitational radiation is in exact agreement with that found by much more labour-intensive methods.
[ { "created": "Thu, 9 Sep 2021 10:48:29 GMT", "version": "v1" } ]
2022-01-26
[ [ "Balbus", "Steven A.", "" ] ]
A very simple and physical derivation of the conservation equation for the propagation of gravitational radiation is presented. The formulation is exact. The result takes the readily recognisable and intuitive form of a Poynting-style equation, in which the outward propagation of stress-energy is directly related to the volumetric equivalent of a radiation reaction force acting back upon the sources, including the purely gravitational contribution to the sources. Upon averaging, the emergent pseudo tensor for the gravitational radiation is in exact agreement with that found by much more labour-intensive methods.
hep-th/0512060
Jun-Chen Su
Jun-Chen Su and Hai-Jun Wang
Renormalization of the quantum chromodynamics with massive gluons
34 pages, 12 figures
null
null
null
hep-th
null
In our previously published papers, it was proved that the chromodynamics with massive gluons can well be set up on the gauge-invariance principle. The quantization of the chromodynamics was perfectly performed in the both of Hamiltonian and Lagrangian path-integral formalisms by using the Lagrangian undetermined multiplier method. In this paper, It is shown that the quantum theory is invariant with respect to a kind of BRST-transformations. From the BRST-invariance of the theory, the Ward-Takahashi identities satisfied by the generating functionals of full Green functions, connected Green functions and proper vertex functions are successively derived. As an application of the above Ward-Takahashi identities, the Ward-Takahashi identities obeyed by the massive gluon and ghost particle propagators and various proper vertices are derived and based on these identities, the propagators and vertices are perfectly renormalized. Especially, as a result of the renormalization, the Slavnov-Taylor identity satisfied by renormalization constants is natually deduced. To demonstrate the renormalizability of the theory, the one-loop renormalization of the theory is carried out by means of the mass-dependent momentum space subtraction scheme and the renormalization group approach, giving an exact one-loop effective coupling constant and one-loop effective gluon and quark masses which show the asymptotically free behaviors as the same as those given in the quantum chromodynamics with massless gluons.
[ { "created": "Tue, 6 Dec 2005 07:54:55 GMT", "version": "v1" }, { "created": "Tue, 22 Aug 2006 14:14:28 GMT", "version": "v2" } ]
2007-05-23
[ [ "Su", "Jun-Chen", "" ], [ "Wang", "Hai-Jun", "" ] ]
In our previously published papers, it was proved that the chromodynamics with massive gluons can well be set up on the gauge-invariance principle. The quantization of the chromodynamics was perfectly performed in the both of Hamiltonian and Lagrangian path-integral formalisms by using the Lagrangian undetermined multiplier method. In this paper, It is shown that the quantum theory is invariant with respect to a kind of BRST-transformations. From the BRST-invariance of the theory, the Ward-Takahashi identities satisfied by the generating functionals of full Green functions, connected Green functions and proper vertex functions are successively derived. As an application of the above Ward-Takahashi identities, the Ward-Takahashi identities obeyed by the massive gluon and ghost particle propagators and various proper vertices are derived and based on these identities, the propagators and vertices are perfectly renormalized. Especially, as a result of the renormalization, the Slavnov-Taylor identity satisfied by renormalization constants is natually deduced. To demonstrate the renormalizability of the theory, the one-loop renormalization of the theory is carried out by means of the mass-dependent momentum space subtraction scheme and the renormalization group approach, giving an exact one-loop effective coupling constant and one-loop effective gluon and quark masses which show the asymptotically free behaviors as the same as those given in the quantum chromodynamics with massless gluons.
1509.03945
Hongbo Cheng
Hongbo Cheng
The Casimir effect at finite temperature in a six-dimensional vortex scenario
7 pages
International Journal of Theoretical Physics 55(2016)1354
10.1007/s10773-015-2776-y
null
hep-th
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
The Casimir effect for parallel plates satisfying the Dirichlet boundary condition in the context of effective QED coming from a six-dimensional Nielsen-Olesen vortex solution of the Abelian Higgs model with fermions coupled to gravity is studied at finite temperature. We find that the sign of the Casimir energy remains negative under the thermal influence. It is also shown that the Casimir force between plates will be weaker in the higher-temperature surroundings while keeps attractive. This Casimir effect involving the thermal influence is still inconsistent with the known experiments. We find that the thermal correction can not compensate or even reduce the modification from this kind of vortex model to make the Casimir force to be in less conflict with the measurements.
[ { "created": "Mon, 14 Sep 2015 03:36:37 GMT", "version": "v1" } ]
2016-07-26
[ [ "Cheng", "Hongbo", "" ] ]
The Casimir effect for parallel plates satisfying the Dirichlet boundary condition in the context of effective QED coming from a six-dimensional Nielsen-Olesen vortex solution of the Abelian Higgs model with fermions coupled to gravity is studied at finite temperature. We find that the sign of the Casimir energy remains negative under the thermal influence. It is also shown that the Casimir force between plates will be weaker in the higher-temperature surroundings while keeps attractive. This Casimir effect involving the thermal influence is still inconsistent with the known experiments. We find that the thermal correction can not compensate or even reduce the modification from this kind of vortex model to make the Casimir force to be in less conflict with the measurements.