Operator thermalisation in d > 2: Huygens or resurgence
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- Engelsöy2020_Article_OperatorThermalisationInD2Huyg
Final published version, 330 KB, PDF document
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.
Original language | English |
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Article number | 103 |
Journal | Journal of High Energy Physics |
Volume | 2020 |
Issue number | 9 |
Number of pages | 20 |
ISSN | 1029-8479 |
DOIs | |
Publication status | Published - 16 Sep 2020 |
- 1, N Expansion, AdS-CFT Correspondence, Holography and condensed matter physics (AdS, CMT), Quantum Dissipative Systems, QUANTUM, TRANSITION, MODELS
Research areas
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