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

Dam T. Son1 and Andrei O. Starinets1

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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 Script N = 4 supersymmetric Yang-Mills theory in the strong coupling limit. We explain why the quasinormal frequencies of the asymptotically AdS background correspond to the poles of the retarded Green's function of the boundary conformal field theory.


Keywords

AdS-CFT and dS-CFT Correspondence

Thermal Field Theory

Black Holes in String Theory

PACS

11.10.Cd Axiomatic approach

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

11.10.Jj Asymptotic problems and properties

11.25.Hf Conformal field theory, algebraic structures

11.15.Me Strong-coupling expansions

11.10.Wx Finite-temperature field theory

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 09 (September 2002)

Received 31 May 2002, accepted for publication 19 September 2002

Published 1 October 2002



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