Real-time gauge/gravity duality: Prescription, Renormalization and Examples

Details Real-time gauge/gravity duality: Prescription, Renormalization and Examples Real-time gauge/gravity duality: Prescription, Renormalization and Examples

2008-12-16

arxiv.org/abs/0812.2909v2

Physics

High Energy Physics

High Energy Physics - Theory

85 pages, 13 figures; v2: added comments and references

Scientific paper

We present a comprehensive analysis of the prescription we recently put forward for the computation of real-time correlation functions using gauge/gravity duality. The prescription is valid for any holographic supergravity background and it naturally maps initial and final data in the bulk to initial and final states or density matrices in the field theory. We show in detail how the technique of holographic renormalization can be applied in this setting and we provide numerous illustrative examples, including the computation of time-ordered, Wightman and retarded 2-point functions in Poincare and global coordinates, thermal correlators and higher-point functions.

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