Real-time gauge/gravity duality: Prescription, renormalization and examples

Kostas Skenderis; Balt C.Van Rees

doi:10.1088/1126-6708/2009/05/085

Real-time gauge/gravity duality: Prescription, renormalization and examples

Kostas Skenderis
, Balt C.Van Rees

University of Amsterdam

Research output: Contribution to journal › Article › peer-review

Abstract

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 Poincaré and global coordinates, thermal correlators and higher-point functions.

Original language	English
Article number	085
Journal	Journal of High Energy Physics
Volume	2009
Issue number	5
DOIs	https://doi.org/10.1088/1126-6708/2009/05/085
Publication status	Published - 7 Jul 2009
Externally published	Yes

Keywords

AdS-CFT correspondence
Gauge-gravity correspondence
Models of quantum gravity

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10.1088/1126-6708/2009/05/085

Cite this

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title = "Real-time gauge/gravity duality: Prescription, renormalization and examples",

abstract = "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 Poincar{\'e} and global coordinates, thermal correlators and higher-point functions.",

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AB - 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 Poincaré and global coordinates, thermal correlators and higher-point functions.

KW - AdS-CFT correspondence

KW - Gauge-gravity correspondence

KW - Models of quantum gravity

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DO - 10.1088/1126-6708/2009/05/085

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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ER -

Real-time gauge/gravity duality: Prescription, renormalization and examples

Abstract

Keywords

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