Minkowski-space correlators in AdS/CFT correspondence: recipe and applications

As a non-trivial check of the non-supersymmetric gauge/gravity duality, we use a near-extremal black brane background to compute the retarded Green's functions of the stress-energy tensor in N = 4 super-Yang-Mills (SYM) theory at finite temperature. For the long-distance, low-frequency modes of the diagonal components of the stress-energy tensor, hydrodynamics predicts the existence of a pole in the correlators corresponding to propagation of sound waves in the N = 4 SYM plasma. The retarded Green's functions obtained from gravity do indeed exhibit this pole, with the correct values for the sound speed and the rate of attenuation.

show abstract

“…In ref. [5] we formulated a prescription for computing the retarded Green's functions from gravity. In ref.…”

Section: Introductionmentioning

confidence: 99%

From AdS/CFT correspondence to hydrodynamics. II. Sound waves

Policastro¹,

Son

Starinets

2002

J. High Energy Phys.

Self Cite

337

447

View full text Add to dashboard Cite

show abstract

“…Also the quasinormal modes play an important role here since their location in the complex frequency plane is related to the resonance peaks appearing in the spectral function. This is due to the fact that the quasinormal modes of a gravity field fluctuation are identical to the poles in the retarded correlator of the dual gauge theory operator, as was first noticed for metric fluctuations in [27]. Furthermore knowing the quasinormal modes precisely, we can quantify qualitative observations in the spectral function's behavior.…”

Section: Peak Turning Behavior: Quasinormal Modes and Meson Massesmentioning

confidence: 75%

“…The correlator recipe Let us review the three-step recipe to obtain two-point correlation functions motivated and developed in [27]. We calculate the retarded two-point correlator G R of the operator Ø in Minkowski space.…”

Section: Analytical Methods: Correlators and Dispersion Relationsmentioning

confidence: 99%

Holographic quark gluon plasma with flavor

Kaminski

2009

Fortschritte der Physik

View full text Add to dashboard Cite

In this work I explore theoretical and phenomenological implications of chemical potentials and charge densities inside a strongly coupled thermal plasma, using the gauge/gravity correspondence. Strong coupling effects discovered in this model theory are interpreted geometrically and may be taken as qualitative predictions for heavy ion collisions at RHIC and LHC. In particular I examine the thermodynamics, spectral functions, transport coefficients and the phase diagram of the strongly coupled plasma. For example stable mesons, which are the analogs of the QCD Rho-mesons, are found to survive beyond the deconfinement transition. This paper is based on partly unpublished work performed in the context of my PhD thesis. New results and ideas extending significantly beyond those published until now are stressed.

show abstract

“…where C em is the electromagnetic coupling which will be set to unity when performing numerical calculations, and G 0 T (ω) and G 2 T (ω) are the expansion coefficients of the retarded correlators [67] in the spatial momentum k, i.e.,…”

Section: Holographic Setupmentioning

confidence: 99%

Refractive index in generalized superconductors with Born–Infeld electrodynamics

Cheng

Pan

et al. 2018

Eur. Phys. J. C

View full text Add to dashboard Cite

We investigate, in the probe limit, the negative refraction in the generalized superconductors with the BornInfeld electrodynamics. We observe that the system has a negative Depine-Lakhtakia index in the superconducting phase at small frequencies and the greater the Born-Infeld corrections the larger the range of frequencies or the range of temperatures for which the negative refraction occurs. Furthermore, we find that the tunable Born-Infeld parameter can be used to improve the propagation of light in the holographic setup. Our analysis indicates that the Born-Infeld electrodynamics plays an important role in determining the optical properties of the boundary theory.

show abstract

Minkowski-space correlators in AdS/CFT correspondence: recipe and applications

Cited by 1,156 publications

References 43 publications

From AdS/CFT correspondence to hydrodynamics. II. Sound waves

From AdS/CFT correspondence to hydrodynamics. II. Sound waves

Holographic quark gluon plasma with flavor

Refractive index in generalized superconductors with Born–Infeld electrodynamics

Contact Info

Product

Resources

About