English

Bethe Ansatz for XXX chain with negative spin

High Energy Physics - Theory 2019-12-03 v3 Statistical Mechanics Quantum Physics

Abstract

XXX spin chain with spin s=1s=-1 appears as an effective theory of Quantum Chromodynamics. It is equivalent to lattice nonlinear Schroediger's equation: interacting chain of harmonic oscillators [bosonic]. In thermodynamic limit each energy level is a scattering state of several elementary excitations [lipatons]. Lipaton is a fermion: it can be represented as a topological excitation [soliton] of original [bosonic] degrees of freedom, described by the group Z2Z_2 . We also provide the CFT description (including local quenches) and Yang-Yang thermodynamics of the model.

Keywords

Cite

@article{arxiv.1909.00800,
  title  = {Bethe Ansatz for XXX chain with negative spin},
  author = {Kun Hao and Dmitri Kharzeev and Vladimir Korepin},
  journal= {arXiv preprint arXiv:1909.00800},
  year   = {2019}
}

Comments

21 pages, 2 figures

R2 v1 2026-06-23T11:03:20.153Z