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Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories

by Luca V. Delacretaz, A. Liam Fitzpatrick, Emanuel Katz, Matthew T. Walters

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Submission summary

Authors (as registered SciPost users): Luca Delacrétaz
Submission information
Preprint Link: https://arxiv.org/abs/2105.02229v3  (pdf)
Date accepted: 2022-02-28
Date submitted: 2022-02-04 03:35
Submitted by: Delacrétaz, Luca
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
Approach: Theoretical

Abstract

We consider 2d QFTs as relevant deformations of CFTs in the thermodynamic limit. Using causality and KPZ universality, we place a lower bound on the timescale characterizing the onset of hydrodynamics. The bound is determined parametrically in terms of the temperature and the scale associated with the relevant deformation. This bound is typically much stronger than $\frac{1}{T}$, the expected quantum equilibration time. Subluminality of sound further allows us to define a thermodynamic $C$-function, and constrain the sign of the $\mathcal T\bar{\mathcal T}$ term in EFTs.

List of changes

List of changes:
- Added clarifications in Sec. 3 and 4.1.
- made corrections to Sec. 5.4 on the application to theories with large c_UV, and added references.

Published as SciPost Phys. 12, 119 (2022)

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