Heavy operators and hydrodynamic tails

The late time physics of interacting QFTs at finite temperature is controlled by hydrodynamics. For CFTs this implies that heavy operators -- which are generically expected to create thermal states -- can be studied semiclassically. We show that hydrodynamics universally fixes the OPE coefficien...

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Main Author: Luca V. Delacretaz
Format: Article
Language:English
Published: SciPost 2020-09-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.9.3.034
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author Luca V. Delacretaz
author_facet Luca V. Delacretaz
author_sort Luca V. Delacretaz
collection DOAJ
description The late time physics of interacting QFTs at finite temperature is controlled by hydrodynamics. For CFTs this implies that heavy operators -- which are generically expected to create thermal states -- can be studied semiclassically. We show that hydrodynamics universally fixes the OPE coefficients $C_{HH'L}$, on average, of all neutral light operators with two non-identical heavy ones, as a function of the scaling dimension and spin of the operators. These methods can be straightforwardly extended to CFTs with global symmetries, and generalize recent EFT results on large charge operators away from the case of minimal dimension at fixed charge. We also revisit certain aspects of late time thermal correlators in QFT and other diffusive systems.
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spelling doaj.art-33b5eca5746044888cbb0981473cf0662022-12-22T02:37:48ZengSciPostSciPost Physics2542-46532020-09-019303410.21468/SciPostPhys.9.3.034Heavy operators and hydrodynamic tailsLuca V. DelacretazThe late time physics of interacting QFTs at finite temperature is controlled by hydrodynamics. For CFTs this implies that heavy operators -- which are generically expected to create thermal states -- can be studied semiclassically. We show that hydrodynamics universally fixes the OPE coefficients $C_{HH'L}$, on average, of all neutral light operators with two non-identical heavy ones, as a function of the scaling dimension and spin of the operators. These methods can be straightforwardly extended to CFTs with global symmetries, and generalize recent EFT results on large charge operators away from the case of minimal dimension at fixed charge. We also revisit certain aspects of late time thermal correlators in QFT and other diffusive systems.https://scipost.org/SciPostPhys.9.3.034
spellingShingle Luca V. Delacretaz
Heavy operators and hydrodynamic tails
SciPost Physics
title Heavy operators and hydrodynamic tails
title_full Heavy operators and hydrodynamic tails
title_fullStr Heavy operators and hydrodynamic tails
title_full_unstemmed Heavy operators and hydrodynamic tails
title_short Heavy operators and hydrodynamic tails
title_sort heavy operators and hydrodynamic tails
url https://scipost.org/SciPostPhys.9.3.034
work_keys_str_mv AT lucavdelacretaz heavyoperatorsandhydrodynamictails