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Exact thermodynamics and transport in the classical sine-Gordon model

Rebekka Koch, Alvise Bastianello

SciPost Phys. 15, 140 (2023) · published 5 October 2023


We revisit the exact thermodynamic description of the classical sine-Gordon field theory, a well-known 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.

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sine-Gordon model

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