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

@article{Son2002MinkowskispaceCI,
  title={Minkowski-space correlators in AdS/CFT correspondence: recipe and applications},
  author={Dam Thanh Son and Andrei O. Starinets},
  journal={Journal of High Energy Physics},
  year={2002},
  volume={2002},
  pages={042-042}
}
We formulate a prescription for computing Minkowski-space correlators from AdS/CFT correspondence. This prescription is shown to give the correct retarded propagators at zero temperature in four dimensions, as well as at finite temperature in the two-dimensional conformal field theory dual to the BTZ black hole. Using the prescription, we calculate the Chern-Simons diffusion constant of the finite-temperature = 4 supersymmetric Yang-Mills theory in the strong coupling limit. We explain why the… 
View via Publisher
arxiv.org
1,080 Citations
Highly Influential Citations
120
Background Citations
409
Methods Citations
348
Results Citations
20

1,080 Citations

On time-dependent AdS/CFT

We clarify aspects of the holographic AdS/CFT correspondence that are typical of lorentzian signature, to lay the foundation for a treatment of time-dependent gravity and conformal field theory…

correspondence , quasinormal modes , and thermal correlators in N = 4 SYM

We use the Lorentzian AdS/CFT prescription to find the poles of the retarded thermal Green’s functions of N = 4 SU(N) SYM theory in the limit of large N and large ’t Hooft coupling. In the process,…

Isospin diffusion in thermal AdS/CFT correspondence with flavor

We study the gauge/gravity dual of a finite temperature field theory at finite isospin chemical potential by considering a probe of two coincident D7-branes embedded in the AdS-Schwarzschild black…

AdS black holes and thermal Yang-Mills correlators

We study the real time correlators of scalar glueball operators for Yang-Mills theory at finite temperature in flat space. The analytic structure of the frequency space propagator in perturbative…

Applications of AdS/CFT in Quark Gluon Plasma

As one of the most important developments in string theory, the AdS/CFT correspondence(or in general gauge/gravity correspondence) encodes a way of using string theory to perform non-perturbative…

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

A bstractWe 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…

Schwinger-Keldysh propagators from AdS/CFT correspondence

We demonstrate how to compute real-time Green's functions for a class of finite temperature field theories from their AdS gravity duals. In particular, we reproduce the 2 ? 2 Schwinger-Keldysh matrix…

The sound of topology in the AdS/CFT correspondence

A bstractUsing the gauge/gravity correspondence, we study the properties of 2-point correlation functions of finite-temperature strongly coupled gauge field theories, defined on a curved space of…

AdS/CFT duality for non-relativistic field theory

We formulate a correspondence between non-relativistic conformal field theories (NRCFTs) in d?1 spatial dimensions and gravitational theories in AdSd+2 backgrounds with one compactified lightlike…

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

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 = 4…
...

References

SHOWING 1-10 OF 50 REFERENCES

What do CFTs tell us about anti-de Sitter spacetimes?

The AdS/CFT conjecture relates quantum gravity on anti-de Sitter (AdS) space to a conformal field theory (CFT) defined on the spacetime boundary. We interpret the CFT in terms of natural analogues of…

Vacua, propagators, and holographic probes in AdS/CFT

In this paper we investigate the relation between the bulk and boundary in AdS/CFT. We first discuss the relation between the Poincare and the global vacua, and then study various probes of the bulk…

Choptuik scaling and quasinormal modes in the AdS / CFT correspondence

We establish an exact connection between the Choptuik scaling parameter for the three-dimensional Ba\~nados-Teitelboim-Zanelli black hole, and the imaginary part of the quasinormal frequencies for…

The Hadamard function and the Feynman propagator in the AdS/CFT correspondence

Quasinormal modes of AdS black holes and the approach to thermal equilibrium

We investigate the decay of a scalar field outside a Schwarzschild anti de Sitter black hole. This is determined by computing the complex frequencies associated with quasinormal modes. There are…

On the role of chaos in the AdS / CFT connection

The question of how infalling matter in a pure state forms a Schwarzschild black hole that appears to be at nonzero temperature is discussed in the context of the AdS/CFT connection. It is argued…

Anti-de Sitter space and holography

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of…

Gauge Theory Correlators from Non-Critical String Theory

Holographic Probes of Anti-de Sitter Spacetimes

We describe probes of anti{endash}de Sitter spacetimes in terms of conformal field theories on the AdS boundary. Our basic tool is a formula that relates bulk and boundary states{emdash}classical…

Effective dynamics of soft non-Abelian gauge fields at finite temperature