Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
Statistical Mechanics
2023-10-04 v2 Quantum Gases
High Energy Physics - Theory
Pattern Formation and Solitons
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.2303.16932,
title = {Exact Thermodynamics and Transport in the Classical Sine-Gordon Model},
author = {Rebekka Koch and Alvise Bastianello},
journal= {arXiv preprint arXiv:2303.16932},
year = {2023}
}
Comments
33 pages, 4 figures