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Nonequilibrium dynamics of the O(N ) model on dS3 and AdS crunches
Journal of High Energy Physics, Volume: 2018, Issue: 3
Swansea University Author: Prem Kumar
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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...
Published in: | Journal of High Energy Physics |
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ISSN: | 1029-8479 |
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2018
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URI: | https://cronfa.swan.ac.uk/Record/cronfa39051 |
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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 |
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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 |
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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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1763752409826328576 |
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11.030209 |