Exact Thermodynamics and Transport in the Classical Sine-Gordon Model

Abstract

We revisit the exact thermodynamic description of the classical sine-Gordon field theory, a notorious integrable model. We found that existing results in the literature based on the soliton-gas picture did not correctly take into account light, but extended, solitons and thus led to incorrect results. This issue is regularized upon requantization: we derive the correct thermodynamics by taking the semiclassical limit of the quantum model. Our results are then extended to transport settings by means of Generalized Hydrodynamics.

arXiv comment33 pages, 4 figures

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Cited by in corpus (18)

• Generalized hydrodynamics: a perspective
• Non-linear fluctuating hydrodynamics for KPZ scaling in isotropic spin chains
• The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint
• Exact large-scale fluctuations of the phase field in the sine-Gordon model
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