Schwinger-Keldysh propagators from AdS/CFT correspondence
Author(s) -
Christopher P. Herzog,
D. Son
Publication year - 2003
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2003/03/046
Subject(s) - propagator , dual polyhedron , physics , mathematical physics , supergravity , signature (topology) , field theory (psychology) , field (mathematics) , class (philosophy) , matrix (chemical analysis) , point (geometry) , theoretical physics , mathematics , pure mathematics , supersymmetry , geometry , computer science , materials science , composite material , artificial intelligence
We demonstrate how to compute real-time Green's functions for a class offinite temperature field theories from their AdS gravity duals. In particular,we reproduce the two-by-two Schwinger-Keldysh matrix propagator from a gravitycalculation. Our methods should work also for computing higher point Lorentziansignature correlators. We elucidate the boundary condition subtleties whichhampered previous efforts to build a Lorentzian-signature AdS/CFTcorrespondence. For two-point correlators, our construction is automaticallyequivalent to the previously formulated prescription for the retardedpropagator.Comment: 16 pages, 1 figure, references added; to appear in JHE
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