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Schwinger-Keldysh Propagators from AdS/CFT Correspondence

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arxiv hep-th/0212072 v4 pith:Z2PHJNPB submitted 2002-12-05 hep-th hep-ph

C. P. Herzog , D. T. Son This is my paper · ORCID
classification hep-thhep-ph
keywords correlatorscorrespondencegravitypropagatorschwinger-keldyshautomaticallyboundarybuild
verification ladder T0 review T1 audit T2 compute T3 formal
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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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