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Title:

From Maxwell-Chern-Simons theory in AdS3 towards hydrodynamics in 1 + 1 dimensions

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We study Abelian Maxwell-Chern-Simons theory in three-dimensional AdS black hole backgrounds for both integer and non-integer Chern-Simons coupling. Such theories can be derived from various string theory constructions, which we review in the present work. In particular we find exact solutions in the low frequency, low momentum limit, ω, k ≪ T (...

We study Abelian Maxwell-Chern-Simons theory in three-dimensional AdS black hole backgrounds for both integer and non-integer Chern-Simons coupling. Such theories can be derived from various string theory constructions, which we review in the present work. In particular we find exact solutions in the low frequency, low momentum limit, ω, k ≪ T (hydrodynamic limit). Using the holographic principle, we translate our results into correlation functions of vector and scalar operators in the dual strongly coupled 1 + 1-dimensional quantum field theory with a chiral anomaly at non-zero temperature T . Starting from the conformal case we show applicability of the hydrodynamic limit and discuss extensions to the non-conformal case. Correlation functions in the conformal case are compared to an exact field theoretic computation. Minimize

Publisher:

Springer Berlin Heidelberg

Year of Publication:

2014-10-01

Source:

Journal of High Energy Physics, 2014-10-01, Volume 2014, pp 1-54

Journal of High Energy Physics, 2014-10-01, Volume 2014, pp 1-54 Minimize

Language:

En

Subjects:

Field Theories in Lower Dimensions ; AdS-CFT Correspondence ; Anomalies in Field and String Theories

Field Theories in Lower Dimensions ; AdS-CFT Correspondence ; Anomalies in Field and String Theories Minimize

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Title:

Fermionic operator mixing in holographic p-wave superfluids

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We use gauge-gravity duality to compute spectral functions of fermionic operators in a strongly-coupled defect field theory in p-wave superfluid states. The field theory is (3+1)-dimensional $ \mathcal{N} = 4 $ supersymmetric SU(Nc) Yang-Mills theory, in the ’t Hooft limit and with large coupling, coupled to two massless flavors of (2+1)-dimensi...

We use gauge-gravity duality to compute spectral functions of fermionic operators in a strongly-coupled defect field theory in p-wave superfluid states. The field theory is (3+1)-dimensional $ \mathcal{N} = 4 $ supersymmetric SU(Nc) Yang-Mills theory, in the ’t Hooft limit and with large coupling, coupled to two massless flavors of (2+1)-dimensional $ \mathcal{N} = 4 $ supersymmetric matter. We show that a sufficiently large chemical potential for a U(1) subgroup of the global SU(2) isospin symmetry triggers a phase transition to a p-wave superfluid state, and in that state we compute spectral functions for the fermionic superpartners of mesons valued in the adjoint of SU(2) isospin. In the spectral functions we see the breaking of rotational symmetry and the emergence of a Fermi surface comprised of isolated points as we cool the system through the superfluid phase transition. The dual gravitational description is two coincident probe D5-branes in AdS5 × S5 with non-trivial worldvolume SU(2) gauge fields. We extract spectral functions from solutions of the linearized equations of motion for the D5-branes’ worldvolume fermions, which couple to one another through the worldvolume gauge field. We develop an efficient method to compute retarded Green’s functions from a system of coupled bulk fermions. We also perform the holographic renormalization of free bulk fermions in any asymptotically Euclidean AdS space. Minimize

Publisher:

Springer-Verlag

Year of Publication:

2010-05-01

Source:

Journal of High Energy Physics, 2010-05-01, Volume 2010, pp 1-67

Journal of High Energy Physics, 2010-05-01, Volume 2010, pp 1-67 Minimize

Language:

En

Subjects:

Gauge-gravity correspondence ; AdS-CFT Correspondence ; Brane Dynamics in Gauge Theories

Gauge-gravity correspondence ; AdS-CFT Correspondence ; Brane Dynamics in Gauge Theories Minimize

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Title:

PUPT-2352 Sum Rules from an Extra Dimension

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Abstract: Using the gravity side of the AdS/CFT correspondence, we investigate the analytic properties of thermal retarded Green’s functions for scalars, conserved currents, the stress tensor, and massless fermions. We provide some results concerning their large and small frequency behavior and their pole structure. From these results, it is str...

Abstract: Using the gravity side of the AdS/CFT correspondence, we investigate the analytic properties of thermal retarded Green’s functions for scalars, conserved currents, the stress tensor, and massless fermions. We provide some results concerning their large and small frequency behavior and their pole structure. From these results, it is straightforward to prove the validity of various sum rules on the field theory side of the duality. We introduce a novel contraction mapping we use to study the large frequency behavior of the Green’s Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-05-22

Source:

http://www.mat.univie.ac.at/%7Eesiprpr/esi2278.pdf

http://www.mat.univie.ac.at/%7Eesiprpr/esi2278.pdf Minimize

Document Type:

text

Language:

en

Subjects:

Sum rules ; Holography ; AdS/CFT ; Gauge/Gravity correspondence

Sum rules ; Holography ; AdS/CFT ; Gauge/Gravity correspondence Minimize

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

Metadata may be used without restrictions as long as the oai identifier remains attached to it. Minimize

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Title:

Preprint typeset in JHEP style- HYPER VERSION IFT-UAM/CSIC-09-14

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Abstract: We study the poles of the retarded Green functions of a holographic superconductor. The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken. The poles of the holographic Green functions are the quasinormal modes in an AdS black hole background. We study the s...

Abstract: We study the poles of the retarded Green functions of a holographic superconductor. The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken. The poles of the holographic Green functions are the quasinormal modes in an AdS black hole background. We study the spectrum of quasinormal frequencies in the broken phase, where we establish the appearance of a massless or hydrodynamic mode at the critical temperature as expected for a second order phase transition. In the broken phase we find the pole representing second sound. We compute the speed of second sound and its attenuation length as function of the temperature. In addition we find a pseudo diffusion mode, whose frequencies are purely imaginary but with a non-zero gap at zero momentum. This gap goes to zero at the critical temperature. As a technical side result we explain how to calculate holographic Green Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-21

Source:

http://arxiv.org/pdf/0903.2209v1.pdf

http://arxiv.org/pdf/0903.2209v1.pdf Minimize

Document Type:

text

Language:

en

Subjects:

Holography ; Superconductivity. Contents

Holography ; Superconductivity. Contents Minimize

DDC:

539 Modern physics *(computed)*

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

Metadata may be used without restrictions as long as the oai identifier remains attached to it. Minimize

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Title:

Hydrodynamics of Holographic Superconductors

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Abstract: We study the poles of the retarded Green functions of a holographic superconductor. The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken. The poles of the holographic Green functions are the quasinormal modes in an AdS black hole background. We study the s...

Abstract: We study the poles of the retarded Green functions of a holographic superconductor. The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken. The poles of the holographic Green functions are the quasinormal modes in an AdS black hole background. We study the spectrum of quasinormal frequencies in the broken phase, where we establish the appearance of a massless or hydrodynamic mode at the critical temperature as expected for a second order phase transition. In the broken phase we find the pole representing second sound. We compute the speed of second sound and its attenuation length as function of the temperature. In addition we find a pseudo diffusion mode, whose frequencies are purely imaginary but with a non-zero gap at zero momentum. This gap goes to zero at the critical temperature. As a technical side result we explain how to calculate holographic Green Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-21

Source:

http://arxiv.org/pdf/0903.2209v2.pdf

http://arxiv.org/pdf/0903.2209v2.pdf Minimize

Document Type:

text

Language:

en

Subjects:

Holography ; Superconductivity. Contents

Holography ; Superconductivity. Contents Minimize

DDC:

539 Modern physics *(computed)*

Rights:

Metadata may be used without restrictions as long as the oai identifier remains attached to it.

Metadata may be used without restrictions as long as the oai identifier remains attached to it. Minimize

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Title:

Quasinormal modes of massive charged flavor branes

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We present an analysis and classiffication of vector and scalar fluctuations in a D3/D7-brane setup at finite temperature and baryon density. The system is dual to an $$ \mathcal{N} = 2 $$ supersymmetric Yang-Mills theory with SU(Nc) gauge group and Nf hyper-multiplets in the fundamental representation in the quenched approximation. We improve s...

We present an analysis and classiffication of vector and scalar fluctuations in a D3/D7-brane setup at finite temperature and baryon density. The system is dual to an $$ \mathcal{N} = 2 $$ supersymmetric Yang-Mills theory with SU(Nc) gauge group and Nf hyper-multiplets in the fundamental representation in the quenched approximation. We improve significantly over previous results on the quasinormal mode spectrum of D7-branes and stress their novel physical interpretation. Amongst our findings is a new purely imaginary scalar mode that becomes tachyonic at sufficiently low temperature and baryon density. We establish the existence of a critical density above which the scalar mode stays in the stable regime for all temperatures. In the vector sector we study the crossover from the hydrodynamic to the quasiparticle regime and find that it moves to shorter wavelengths for lower temperatures. At zero baryon density the quasinormal modes move toward distinct discrete attractor frequencies that depend on the momentum as we increase the temperature. At finite baryon density, however, the trajectories show a turning behavior such that for low temperature the quasinormal mode spectrum approaches the spectrum of the supersymmetric zero temperature normal modes. We interpret this as resolution of the singular quasinormal mode spectrum that appears at the limiting D7-brane embedding at vanishing baryon density. Minimize

Publisher:

Springer-Verlag

Year of Publication:

2010-03-01

Source:

Journal of High Energy Physics, 2010-03-01, Volume 2010, pp 1-56

Journal of High Energy Physics, 2010-03-01, Volume 2010, pp 1-56 Minimize

Language:

En

Subjects:

Gauge-gravity correspondence ; Black Holes in String Theory ; D-branes ; AdSCFT Correspondence

Gauge-gravity correspondence ; Black Holes in String Theory ; D-branes ; AdSCFT Correspondence Minimize

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Title:

QGP thermodynamics and Meson spectroscopy with AdS/CFT

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In this talk we present applications of the AdS/CFT correspondence to strongly coupled systems at finite temperature and particle density. The model we investigate contains adjoint matter described by the gauge multiplet of N = 4, as well as fundamental matter given by the hypermultiplet of N = 2 Super Yang-Mills theory. In some aspects these sy...

In this talk we present applications of the AdS/CFT correspondence to strongly coupled systems at finite temperature and particle density. The model we investigate contains adjoint matter described by the gauge multiplet of N = 4, as well as fundamental matter given by the hypermultiplet of N = 2 Super Yang-Mills theory. In some aspects these systems can be thought of as models for the quark-gluon plasma. In the first part we review some properties of meson spectra obtained from these holographic models. We discuss the implications of finite temperature and particle density in these stringtheory motivated setups. In particular, we find a broadening of the vector meson peaks in the relevant spectral function at finite density. However, we do not observe a movement of the resonances to lower frequencies. Moreover, we analyze the effects of strong coupling on heavy meson diffusion in medium. To do so we make use of an effective model with dipole interaction, which is valid for heavy quarks at arbitrary coupling strength. We calculate the momentum broadening — normalized to the in-medium mass shift — and compare the large ’t Hooft coupling AdS/CFT result with a perturbative result for weak coupling. We find that the momentum broadening is reduced at large ’t Hooft coupling, leading to increased relaxation time. PoS(Confinement8)131 Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-02-05

Source:

http://pos.sissa.it/archive/conferences/077/131/Confinement8_131.pdf

http://pos.sissa.it/archive/conferences/077/131/Confinement8_131.pdf Minimize

Document Type:

text

Language:

en

DDC:

539 Modern physics *(computed)*

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Title:

Fluid dynamics of R-charged black holes

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We construct electrically charged AdS5 black hole solutions whose charge, mass and boost-parameters vary slowly with the space-time coordinates. From the perspective of the dual theory, these are equivalent to hydrodynamic configurations with varying chemical potential, temperature and velocity fields. We compute the boundary theory transport co...

We construct electrically charged AdS5 black hole solutions whose charge, mass and boost-parameters vary slowly with the space-time coordinates. From the perspective of the dual theory, these are equivalent to hydrodynamic configurations with varying chemical potential, temperature and velocity fields. We compute the boundary theory transport coefficients associated with a derivative expansion of the energy momentum tensor and R-charge current up to second order. In particular, we find a first order transport coefficient Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2013-08-04

Source:

http://arxiv.org/pdf/0809.2488v1.pdf

http://arxiv.org/pdf/0809.2488v1.pdf Minimize

Document Type:

text

Language:

en

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Title:

IFT-UAM/CSIC-09-12 Flavor Superconductivity from Gauge/Gravity Duality

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Abstract: We give a detailed account and extensions of a holographic flavor superconductivity model which we have proposed recently. The model has an explicit field theory realization as strongly coupled N = 2 Super Yang-Mills theory with fundamental matter at finite temperature and finite isospin chemical potential. Using gauge/gravity duality,...

Abstract: We give a detailed account and extensions of a holographic flavor superconductivity model which we have proposed recently. The model has an explicit field theory realization as strongly coupled N = 2 Super Yang-Mills theory with fundamental matter at finite temperature and finite isospin chemical potential. Using gauge/gravity duality, i. e. a probe of two flavor D7–branes in the AdS black hole background, we show that the system undergoes a second order phase transition with critical exponent 1/2. The new ground state may be interpreted as a ρ meson superfluid. It shows signatures known from superconductivity, such as an infinite dc conductivity and a gap in the frequency-dependent conductivity. We present a stringy picture of the condensation mechanism in terms of a recombination of strings. We give a detailed account of the evaluation of the non-Abelian Dirac-Born-Infeld action involved using two different methods. Finally we also consider the case of massive flavors and discuss the holographic Meissner–Ochsenfeld effect in our Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-21

Source:

http://arxiv.org/pdf/0903.1864v2.pdf

http://arxiv.org/pdf/0903.1864v2.pdf Minimize

Document Type:

text

Language:

en

Subjects:

Gauge-gravity correspondence ; D-branes ; Black Holes. Contents

Gauge-gravity correspondence ; D-branes ; Black Holes. Contents Minimize

DDC:

539 Modern physics *(computed)*

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

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Title:

Preprint typeset in JHEP style- HYPER VERSION IFT-UAM/CSIC-09-14

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Description:

Abstract: We study the poles of the retarded Green functions of a holographic superconductor. The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken. The poles of the holographic Green functions are the quasinormal modes in an AdS black hole background. We study the s...

Abstract: We study the poles of the retarded Green functions of a holographic superconductor. The model shows a second order phase transition where a charged scalar operator condenses and a U(1) symmetry is spontaneously broken. The poles of the holographic Green functions are the quasinormal modes in an AdS black hole background. We study the spectrum of quasinormal frequencies in the broken phase, where we establish the appearance of a massless or hydrodynamic mode at the critical temperature as expected for a second order phase transition. In the broken phase we find the pole representing second sound. We compute the speed of second sound and its attenuation length as function of the temperature. In addition we find a pseudo diffusion mode, whose frequencies are purely imaginary but with a non-zero gap at zero momentum. This gap goes to zero at the critical temperature. As a technical side result we explain how to calculate holographic Green Minimize

Contributors:

The Pennsylvania State University CiteSeerX Archives

Year of Publication:

2012-11-21

Source:

http://arxiv.org/pdf/0903.2209v3.pdf

http://arxiv.org/pdf/0903.2209v3.pdf Minimize

Document Type:

text

Language:

en

Subjects:

Holography ; Superconductivity. Contents

Holography ; Superconductivity. Contents Minimize

DDC:

539 Modern physics *(computed)*

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Metadata may be used without restrictions as long as the oai identifier remains attached to it.

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