SciPost Physics

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

• doi: 10.21468/SciPostPhys.15.4.140
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Abstract

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.

• Del Vecchio et al., Exact Large-Scale Fluctuations of the Phase Field in the Sine-Gordon Model
  Phys. Rev. Lett. 131, 263401 (2023) [Crossref]
• Suret et al., Soliton gas: Theory, numerics, and experiments
  Phys. Rev. E 109, 061001 (2024) [Crossref]
• Visuri, Sine-Gordon dynamics in spin transport
  Phys. Rev. A 109, 053310 (2024) [Crossref]
• De Nardis et al., Nonlinear Fluctuating Hydrodynamics for Kardar-Parisi-Zhang Scaling in Isotropic Spin Chains
  Phys. Rev. Lett. 131, 197102 (2023) [Crossref]
• Szász-Schagrin et al., Nonequilibrium time evolution in the sine-Gordon model
  Phys. Rev. B 109, 014308 (2024) [Crossref]
• Bastianello, Sine-Gordon model from coupled condensates: A generalized hydrodynamics viewpoint
  Phys. Rev. B 109, 035118 (2024) [Crossref]
• Møller et al., Dynamical separation of charge and energy transport in one-dimensional Mott insulators
  Phys. Rev. B 109, L161112 (2024) [Crossref]
• Mazzuca, Generalized hydrodynamics for the volterra lattice: ballistic and non-ballistic behavior of correlation functions
  J. Phys. A: Math. Theor. 57, 395207 (2024) [Crossref]
• Doyon et al., New Classical Integrable Systems from Generalized TT¯ -Deformations
  Phys. Rev. Lett. 132, 251602 (2024) [Crossref]
• Canfora et al., Exact mapping from the (3+1) -dimensional Skyrme model to the (1+1) -dimensional sine-Gordon theory and some applications
  Phys. Rev. D 108, 114027 (2023) [Crossref]
• Nagy et al., Thermodynamic Bethe Ansatz and generalised hydrodynamics in the sine-Gordon model
  SciPost Phys. 16, 145 (2024) [Crossref]
• Bastianello et al., Landau-Lifschitz Magnets: Exact Thermodynamics and Transport
  Phys. Rev. Lett. 133, 107102 (2024) [Crossref]