Exact Thermodynamics and Transport in the Classical Sine-Gordon Model

29 Mar 2023  ·  Rebekka Koch, Alvise Bastianello ·

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.

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Statistical Mechanics Quantum Gases High Energy Physics - Theory Pattern Formation and Solitons Exactly Solvable and Integrable Systems