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Nonequilibrium dynamics of the O(N ) model on dS3 and AdS crunches

Prem Kumar Orcid Logo, Vladislav Vaganov

Journal of High Energy Physics, Volume: 2018, Issue: 3

Swansea University Author: Prem Kumar Orcid Logo

  • 10.1007-JHEP03(2018)092.pdf

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DOI (Published version): 10.1007/JHEP03(2018)092

Abstract

We study the nonperturbative quantum evolution of the interacting O(N) vector model at large-N, formulated on a spatial two-sphere, with time de- pendent couplings which diverge at finite time. This model - the so-called “E-frame” theory, is related via a conformal transformation to the interacting...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa39051
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first_indexed 2018-03-13T05:39:44Z
last_indexed 2020-06-18T18:53:41Z
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spelling 2020-06-18T14:43:51.1177655 v2 39051 2018-03-12 Nonequilibrium dynamics of the O(N ) model on dS3 and AdS crunches 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2018-03-12 SPH We study the nonperturbative quantum evolution of the interacting O(N) vector model at large-N, formulated on a spatial two-sphere, with time de- pendent couplings which diverge at finite time. This model - the so-called “E-frame” theory, is related via a conformal transformation to the interacting O(N) model in three dimensional global de Sitter spacetime with time independent couplings. We show that with a purely quartic, relevant deformation the quantum evolution of the E-frame model is regular even when the classical theory is rendered singular at the end of time by the diverging coupling. Time evolution drives the E-frame theory to the large-N Wilson-Fisher fixed point when the classical coupling diverges. We study the quantum evolution numerically for a variety of initial conditions and demonstrate the finiteness of the energy at the classical “end of time”. With an additional (time dependent) mass deformation, quantum backreaction lowers the mass, with a puta- tive smooth time evolution only possible in the limit of infinite quartic coupling. We discuss the relevance of these results for the resolution of crunch singularities in AdS geometries dual to E-frame theories with a classical gravity dual. Journal Article Journal of High Energy Physics 2018 3 1029-8479 Crunch singularities, Holography, Nonequilibrium QFT 15 3 2018 2018-03-15 10.1007/JHEP03(2018)092 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-06-18T14:43:51.1177655 2018-03-12T22:18:46.5919673 Prem Kumar 0000-0003-0867-4213 1 Vladislav Vaganov 2 0039051-16032018093127.pdf 10.1007-JHEP03(2018)092.pdf 2018-03-16T09:31:27.5930000 Output 2888977 application/pdf Version of Record true 2018-03-15T00:00:00.0000000 This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) true eng
title Nonequilibrium dynamics of the O(N ) model on dS3 and AdS crunches
spellingShingle Nonequilibrium dynamics of the O(N ) model on dS3 and AdS crunches
Prem Kumar
title_short Nonequilibrium dynamics of the O(N ) model on dS3 and AdS crunches
title_full Nonequilibrium dynamics of the O(N ) model on dS3 and AdS crunches
title_fullStr Nonequilibrium dynamics of the O(N ) model on dS3 and AdS crunches
title_full_unstemmed Nonequilibrium dynamics of the O(N ) model on dS3 and AdS crunches
title_sort Nonequilibrium dynamics of the O(N ) model on dS3 and AdS crunches
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Prem Kumar
Vladislav Vaganov
format Journal article
container_title Journal of High Energy Physics
container_volume 2018
container_issue 3
publishDate 2018
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/JHEP03(2018)092
document_store_str 1
active_str 0
description We study the nonperturbative quantum evolution of the interacting O(N) vector model at large-N, formulated on a spatial two-sphere, with time de- pendent couplings which diverge at finite time. This model - the so-called “E-frame” theory, is related via a conformal transformation to the interacting O(N) model in three dimensional global de Sitter spacetime with time independent couplings. We show that with a purely quartic, relevant deformation the quantum evolution of the E-frame model is regular even when the classical theory is rendered singular at the end of time by the diverging coupling. Time evolution drives the E-frame theory to the large-N Wilson-Fisher fixed point when the classical coupling diverges. We study the quantum evolution numerically for a variety of initial conditions and demonstrate the finiteness of the energy at the classical “end of time”. With an additional (time dependent) mass deformation, quantum backreaction lowers the mass, with a puta- tive smooth time evolution only possible in the limit of infinite quartic coupling. We discuss the relevance of these results for the resolution of crunch singularities in AdS geometries dual to E-frame theories with a classical gravity dual.
published_date 2018-03-15T03:49:33Z
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score 10.998025

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