English

Low temperature TBA and GHD for simple integrable QFT

Statistical Mechanics 2024-06-25 v4 Quantum Gases High Energy Physics - Theory Exactly Solvable and Integrable Systems

Abstract

We derive the low temperature thermodynamic equations corrected by virtual processes for integrable QFT on large but finite size space circle. Obtained TBA's are solved numerically for the sinh-Gordon model. We also derive corresponding Euler scale generalized hydrodynamic (GHD) equations and display them explicitly for small occupation ratio of virtual quasiparticles. The spectrum of velocities for the linear approximation to GHD is numerically calculated.

Keywords

Cite

@article{arxiv.2308.05010,
  title  = {Low temperature TBA and GHD for simple integrable QFT},
  author = {Jacek Pawelczyk},
  journal= {arXiv preprint arXiv:2308.05010},
  year   = {2024}
}

Comments

12 pages, 3 figures. v2: 13 pages, an appendix added, simplified GHD equations. v3: some typos corrected; v4 :18 pages, 5 figures, some simplifications and extensions, more appendices

R2 v1 2026-06-28T11:51:59.182Z