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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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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