Thermalization in the D1D5 CFT
Abstract
It is generally agreed that black hole formation in gravity corresponds to thermalization in the dual CFT. It is sometimes argued that if the CFT evolution shows evidence of large redshift in gravity, then we have seen black hole formation in the CFT. We argue that this is not the case: a clock falling towards the horizon increases its redshift but remains intact as a clock; thus it is not `thermalized'. Instead, thermalization should correspond to a new phase after the phase of large redshift, where the infalling object turns into fuzzballs on reaching within planck distance of the horizon. We compute simple examples of the scattering vertex in the D1D5 CFT which, after many iterations, would lead to thermalization. An initial state made of two left-moving and two right-moving excitations corresponds, in gravity, to two gravitons heading towards each other. The thermalization vertex in the CFT breaks these excitations into multiple excitations on the left and right sides; we compute the amplitudes for several of these processes. We find secular terms that grow as $t^2$ instead of oscillating with $$t$$; we conjecture that this may be a feature of processes leading to thermalization.
- Authors:
-
- The Ohio State Univ., Columbus, OH (United States)
- Publication Date:
- Research Org.:
- The Ohio State Univ., Columbus, OH (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1782855
- Grant/Contract Number:
- SC0011726
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2020; Journal Issue: 6; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Black Holes in String Theory; Conformal Field Theory; D-branes
Citation Formats
Hampton, Shaun, and Mathur, Samir D. Thermalization in the D1D5 CFT. United States: N. p., 2020.
Web. doi:10.1007/jhep06(2020)004.
Hampton, Shaun, & Mathur, Samir D. Thermalization in the D1D5 CFT. United States. https://doi.org/10.1007/jhep06(2020)004
Hampton, Shaun, and Mathur, Samir D. Mon .
"Thermalization in the D1D5 CFT". United States. https://doi.org/10.1007/jhep06(2020)004. https://www.osti.gov/servlets/purl/1782855.
@article{osti_1782855,
title = {Thermalization in the D1D5 CFT},
author = {Hampton, Shaun and Mathur, Samir D.},
abstractNote = {It is generally agreed that black hole formation in gravity corresponds to thermalization in the dual CFT. It is sometimes argued that if the CFT evolution shows evidence of large redshift in gravity, then we have seen black hole formation in the CFT. We argue that this is not the case: a clock falling towards the horizon increases its redshift but remains intact as a clock; thus it is not `thermalized'. Instead, thermalization should correspond to a new phase after the phase of large redshift, where the infalling object turns into fuzzballs on reaching within planck distance of the horizon. We compute simple examples of the scattering vertex in the D1D5 CFT which, after many iterations, would lead to thermalization. An initial state made of two left-moving and two right-moving excitations corresponds, in gravity, to two gravitons heading towards each other. The thermalization vertex in the CFT breaks these excitations into multiple excitations on the left and right sides; we compute the amplitudes for several of these processes. We find secular terms that grow as $t^2$ instead of oscillating with $t$; we conjecture that this may be a feature of processes leading to thermalization.},
doi = {10.1007/jhep06(2020)004},
journal = {Journal of High Energy Physics (Online)},
number = 6,
volume = 2020,
place = {United States},
year = {Mon Jun 01 00:00:00 EDT 2020},
month = {Mon Jun 01 00:00:00 EDT 2020}
}
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