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

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arxiv hep-th/0205051 v2 pith:IQKJ2QYV submitted 2002-05-07 hep-th hep-ph

classification hep-thhep-ph
keywords prescriptiontheoryconformalcorrelatorscorrespondencefieldminkowski-spaceretarded
verification ladder T0 review T1 audit T2 compute T3 formal
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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 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.

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