One-loop transition amplitudes in the D1D5 CFT

Carson, Zaq; Hampton, Shaun; Mathur, Samir D.

doi:10.1007/JHEP01(2017)006

One-loop transition amplitudes in the D1D5 CFT

Journal Article · Mon Jan 02 04:00:00 EST 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP01(2017)006· OSTI ID:1424736

Carson, Zaq ^[1]; Hampton, Shaun ^[2]; Mathur, Samir D. ^[2]

The Ohio State Univ., Columbus, OH (United States); Department of Physics, The Ohio State University, Columbus, U.S.A.
The Ohio State Univ., Columbus, OH (United States)

We consider the issue of thermalization in the D1D5 CFT. Thermalization is expected to correspond to the formation of a black hole in the dual gravity theory. We start from the orbifold point, where the theory is essentially free, and does not thermalize. In earlier work it was noted that there was no clear thermalization effect when the theory was deformed of the orbifold point to first order in the relevant twist perturbation. In this paper we consider the deformation to second order in the twist, where we do find effects that can cause thermalization of an initial perturbation. We consider a 1-loop process where two untwisted copies of the CFT are twisted to one copy and then again untwisted to two copies. We start with a single oscillator excitation on the initial CFT, and compute the effect of the two twists on this state. We find simple approximate expressions for the Bogoliubov coeffcients and the behavior of the single oscillator excitation in the continuum limit, where the mode numbers involved are taken to be much larger than unity. We also prove a number of useful relationships valid for processes with an arbitrary number of twist insertions.

View Accepted Manuscript (DOE)

Research Organization:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

Grant/Contract Number:: SC0011726

OSTI ID:: 1424736

Alternate ID(s):: OSTI ID: 22658812

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 1 Vol. 2017; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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