Real-time gauge/gravity duality
Real-time gauge/gravity duality
We present a general prescription for the holographic computation of real-time n-point functions in nontrivial states. In quantum field theory 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? insertions.
081601-[4pp]
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
van Rees, Balt
0ebbfd57-1fa0-4259-8808-1867e9294c3f
22 August 2008
Skenderis, Kostas
09f32871-ffb1-4f4a-83bc-df05f4d17a09
van Rees, Balt
0ebbfd57-1fa0-4259-8808-1867e9294c3f
Abstract
We present a general prescription for the holographic computation of real-time n-point functions in nontrivial states. In quantum field theory 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? insertions.
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e-pub ahead of print date: 21 August 2008
Published date: 22 August 2008
Organisations:
Mathematical Sciences
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Local EPrints ID: 341273
URI: http://eprints.soton.ac.uk/id/eprint/341273
PURE UUID: eb9f6254-e170-4a37-bccc-e65ca662b606
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Date deposited: 25 Jul 2012 11:01
Last modified: 15 Mar 2024 03:41
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Author:
Balt van Rees
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