Schwinger-Keldysh Propagators from AdS/CFT Correspondence

Details Schwinger-Keldysh Propagators from AdS/CFT Correspondence Schwinger-Keldysh Propagators from AdS/CFT Correspondence

2002-12-05

arxiv.org/abs/hep-th/0212072v4

JHEP 0303 (2003) 046

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, 1 figure, references added; to appear in JHEP

Scientific paper

10.1088/1126-6708/2003/03/046

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 two-by-two Schwinger-Keldysh matrix propagator from a gravity calculation. Our methods should work also for computing higher point Lorentzian signature correlators. We elucidate the boundary condition subtleties which hampered previous efforts to build a Lorentzian-signature AdS/CFT correspondence. For two-point correlators, our construction is automatically equivalent to the previously formulated prescription for the retarded propagator.

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