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Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
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Exact Thermodynamics and Transport in the Classical Sine-Gordon Model
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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.
Forward citations
Cited by 2 Pith papers
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Finite temperature correlation functions of the sine--Gordon model
The sine-Gordon model's finite-temperature correlation functions are evaluated non-perturbatively via the Method of Random Surfaces, with an exact formula derived for N-point functions obeying a selection rule.
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Full counting statistics in the sine-Gordon model
Full counting statistics for energy, momentum, and topological charge in the sine-Gordon model, computed via TBA, show fractal coupling dependence for topological charge but smooth behavior for energy and momentum.
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