Non-equilibrium scalar two point functions in AdS/CFT

Open Access
Regular Article - Theoretical Physics

Abstract

In the first part of the paper, we discuss different versions of the AdS/CFT dictionary out of equilibrium. We show that the Skenderis-van Rees prescription and the “extrapolate” dictionary are equivalent at the level of “in-in” two point functions of free scalar fields in arbitrary asymptotically AdS spacetimes. In the second part of the paper, we calculate two point correlation functions in dynamical spacetimes using the “extrapolate” dictionary. These calculations are performed for conformally coupled scalar fields in examples of spacetimes undergoing gravitational collapse, the AdS2-Vaidya spacetime and the AdS3-Vaidya spacetime, which allow us to address the problem of thermalization following a quench in the boundary field theory. The computation of the correlators is formulated as an initial value problem in the bulk spacetime. Finally, we compare our results for AdS3-Vaidya to results in the previous literature obtained using the geodesic approximation and we find qualitative agreement.

Keywords

Gauge-gravity correspondence AdS-CFT Correspondence 

Notes

Open Access

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.Rudolf Peierls Centre for Theoretical PhysicsUniversity of OxfordOxfordUnited Kingdom
  2. 2.Merton CollegeUniversity of OxfordOxfordUnited Kingdom

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