Operator thermalisation in d > 2: Huygens or resurgence

Abstract Correlation functions of most composite operators decay exponentially with time at non-zero temperature, even in free field theories. This insight was recently codified in an OTH (operator thermalisation hypothesis). We reconsider an early example, with large N free fields subjected to a si...

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Main Authors: Julius Engelsöy, Jorge Larana-Aragon, Bo Sundborg, Nico Wintergerst
Format: Article
Language:English
Published: SpringerOpen 2020-09-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP09(2020)103
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spelling doaj-9b4492cf7d764246b321439bc67fb2772020-11-25T02:52:31ZengSpringerOpenJournal of High Energy Physics1029-84792020-09-012020912010.1007/JHEP09(2020)103Operator thermalisation in d > 2: Huygens or resurgenceJulius Engelsöy0Jorge Larana-Aragon1Bo Sundborg2Nico Wintergerst3The Oskar Klein Centre for Cosmoparticle Physics & Department of Physics, Stockholm University, AlbaNovaThe Oskar Klein Centre for Cosmoparticle Physics & Department of Physics, Stockholm University, AlbaNovaThe Oskar Klein Centre for Cosmoparticle Physics & Department of Physics, Stockholm University, AlbaNovaThe Niels Bohr Institute, University of CopenhagenAbstract Correlation functions of most composite operators decay exponentially with time at non-zero temperature, even in free field theories. This insight was recently codified in an OTH (operator thermalisation hypothesis). We reconsider an early example, with large N free fields subjected to a singlet constraint. This study in dimensions d > 2 motivates technical modifications of the original OTH to allow for generalised free fields. Furthermore, Huygens’ principle, valid for wave equations only in even dimensions, leads to differences in thermalisation. It works straightforwardly when Huygens’ principle applies, but thermalisation is more elusive if it does not apply. Instead, in odd dimensions we find a link to resurgence theory by noting that exponential relaxation is analogous to non- perturbative corrections to an asymptotic perturbation expansion. Without applying the power of resurgence technology we still find support for thermalisation in odd dimensions, although these arguments are incomplete.http://link.springer.com/article/10.1007/JHEP09(2020)1031/N ExpansionAdS-CFT CorrespondenceHolography and condensed matter physics (AdS/CMT)Quantum Dissipative Systems
collection DOAJ
language English
format Article
sources DOAJ
author Julius Engelsöy
Jorge Larana-Aragon
Bo Sundborg
Nico Wintergerst
spellingShingle Julius Engelsöy
Jorge Larana-Aragon
Bo Sundborg
Nico Wintergerst
Operator thermalisation in d > 2: Huygens or resurgence
Journal of High Energy Physics
1/N Expansion
AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
Quantum Dissipative Systems
author_facet Julius Engelsöy
Jorge Larana-Aragon
Bo Sundborg
Nico Wintergerst
author_sort Julius Engelsöy
title Operator thermalisation in d > 2: Huygens or resurgence
title_short Operator thermalisation in d > 2: Huygens or resurgence
title_full Operator thermalisation in d > 2: Huygens or resurgence
title_fullStr Operator thermalisation in d > 2: Huygens or resurgence
title_full_unstemmed Operator thermalisation in d > 2: Huygens or resurgence
title_sort operator thermalisation in d > 2: huygens or resurgence
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2020-09-01
description Abstract Correlation functions of most composite operators decay exponentially with time at non-zero temperature, even in free field theories. This insight was recently codified in an OTH (operator thermalisation hypothesis). We reconsider an early example, with large N free fields subjected to a singlet constraint. This study in dimensions d > 2 motivates technical modifications of the original OTH to allow for generalised free fields. Furthermore, Huygens’ principle, valid for wave equations only in even dimensions, leads to differences in thermalisation. It works straightforwardly when Huygens’ principle applies, but thermalisation is more elusive if it does not apply. Instead, in odd dimensions we find a link to resurgence theory by noting that exponential relaxation is analogous to non- perturbative corrections to an asymptotic perturbation expansion. Without applying the power of resurgence technology we still find support for thermalisation in odd dimensions, although these arguments are incomplete.
topic 1/N Expansion
AdS-CFT Correspondence
Holography and condensed matter physics (AdS/CMT)
Quantum Dissipative Systems
url http://link.springer.com/article/10.1007/JHEP09(2020)103
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