Real-time gauge/gravity duality

Details Real-time gauge/gravity duality Real-time gauge/gravity duality

2008-05-02

arxiv.org/abs/0805.0150v2

Phys.Rev.Lett.101:081601,2008

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 3 figures; v2: typos corrected, PRL version

Scientific paper

10.1103/PhysRevLett.101.081601

We present a general prescription for the holographic computation of real-time n-point functions in non-trivial states. In QFT such real-time computations involve a choice of a time contour in the complex time plane. The holographic prescription amounts to ``filling in'' this contour with bulk solutions: real segments of the contour are filled in with Lorentzian solutions while imaginary segments are filled in with Riemannian solutions and appropriate matching conditions are imposed at the corners of the contour. We illustrate the general discussion by computing the 2-point function of a scalar operator using this prescription and by showing that this leads to an unambiguous answer with the correct i epsilon insertions.

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