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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

Submission summary

As Contributors: Luca Delacrétaz
Arxiv Link: (pdf)
Date submitted: 2021-09-08 03:32
Submitted by: Delacrétaz, Luca
Submitted to: SciPost Physics
Academic field: Physics
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
Approach: Theoretical


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.

Current status:
Editor-in-charge assigned

List of changes

- Added clarfiying comments above Eqs. (8) and (9).

- Added Footnote 8 explaining the validity of the KPZ correlation function.

- Corrected a statement about the bulk viscosity, Eq. (38).

Submission & Refereeing History

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Resubmission 2105.02229v2 on 8 September 2021

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