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

@inproceedings{DTSon2002MinkowskispaceCI,
  title={Minkowski-space correlators in AdS/CFT correspondence: recipe and applications},
  author={D.T.Son and A.O.Starinets},
  year={2002}
}
: 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 N = 4 supersymmetric Yang-Mills theory in the strong coupling limit. We explain why the… 
View PDF on arXiv
127 Citations
Highly Influential Citations
14
Background Citations
26
Methods Citations
16
Results Citations
2

127 Citations

Schwinger-Keldysh effective action for a relativistic Brownian particle in the AdS/CFT correspondence

We compute Schwinger-Keldysh effective action for a relativistic heavy quark (with constant background velocity) in strongly coupled N = 4 supersymmetric Yang-Mills plasma. The holographic dual…

Universality of the Chern-Simons diffusion rate

We prove the universality of the Chern-Simons diffusion rate - a crucial observable for the chiral magnetic effect - in a large class of planar strongly correlated gauge theories with dual string…

Pion quasiparticles and QCD phase transitions at finite temperature and isospin density from holography

Spectra of pions, which are known as the pseudo-Goldstone bosons of spontaneous chiral symmetry breaking, as well as their relationship with chiral phase transition and pion superfluidity phase…

Transport at Strong Coupling and Black Hole Dynamics

In this thesis we study aspects of transport in strongly coupled quantum systems with broken translational symmetry. Using holographic duality, we also examine the associated dynamical problem in…

Holography, black holes and condensed matter physics

In this thesis we employ holographic techniques to explore strongly-coupled quantum field theories at non-zero temperature and density. First we consider a state dual to a charged black hole with…

Momentum fluctuations of heavy quarks in the gauge-string duality

Jet-quenching and momentum correlators from the gauge-string duality

I relate the jet-quenching parameter, defined as q̂ = p⊥/λ, for an external quark moving through a thermal plasma of N = 4 gauge theory, to a two-point function of transverse displacements of the…

Correlation functions in theories with Lifshitz scaling Keränen , Ville 2017-05-08

The 2+1 dimensional quantum Lifshitz model can be generalised to a class of higher dimensional free field theories that exhibit Lifshitz scaling. When the dynamical critical exponent equals the…

Direct photons emission rate and electric conductivity in twice anisotropic QGP holographic model with first-order phase transition

The electric conductivity and direct photons emission rate are considered in the holographic theory with two types of anisotropy. The electric conductivity is derived in two different ways, and their…

Open quantum systems and Schwinger-Keldysh holograms

We initiate the study of open quantum field theories using holographic methods. Specifically, we consider a quantum field theory (the system) coupled to a holographic field theory at finite…
...

References

SHOWING 1-10 OF 43 REFERENCES

Conformal invariance and universality in finite-size scaling

The universal relation between critical exponents and the amplitude of the correlation length divergence as a function of finite size at the critical point of two-dimensional systems is shown to be a…

Zur Theorie der Riemann'schen Functionen zweiter Ordnung mit vier Verzweigungspunkten

Quasinormal modes of Schwarzschild anti-de Sitter black holes: Electromagnetic and gravitational perturbations

We study the quasinormal modes (QNM) of electromagnetic and gravitational perturbations of a Schwarzschild black hole in an asymptotically anti\char21{}de Sitter (AdS) spacetime. Some of the…

Black Hole Physics: Basic Concepts and New Developments, by Valeri P. Frolov and Igor D. Novikov

Preface. I. Basic Concepts. 1. Introduction: Brief History of Black Hole Physics. 2. Spherically Symmetric Black Holes. 3. Rotating Black Holes. 4. Black Hole Perturbations (with N. Andersson). 5.…

Conformal field theory interpretation of black hole quasinormal modes.

Exact agreement is found between the quasinormal frequencies and the location of the poles of the retarded correlation function of the corresponding perturbations in the dual conformal field theory.

Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma.

Using the anti-de Sitter/conformal field theory correspondence, the shear viscosity eta of the finite-temperature N = 4 supersymmetric Yang-Mills theory is related with the absorption cross section of low-energy gravitons by a near-extremal black three-brane and it is shown that in the limit of zero frequency this cross section coincides with the area of the horizon.

Quasinormal modes of Reissner-Nordström Anti-de Sitter black holes

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…

Quasi-Normal Modes of Stars and Black Holes

The successes, as well as the limits, of perturbation theory are presented, and its role in the emerging era of numerical relativity and supercomputers is discussed.

Scalar wave propagation in topological black hole backgrounds

We consider the evolution of a scalar field coupled to curvature in topological black hole spacetimes. We solve numerically the scalar wave equation with a different curvature-coupling constant…