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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 | |
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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 | |
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Academic field: | Physics |
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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)