English

Lattice local integrable regularization of the Sine-Gordon model

Mathematical Physics 2022-12-28 v2 High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems

Abstract

We study the local lattice integrable regularization of the Sine-Gordon model written down in terms of the lattice Bose-operators. We show that the local spin Hamiltonian obtained from the six-vertex model with alternating inhomogeneities in fact leads to the Sine-Gordon model in the low-energy limit. We show that the Bethe Ansatz results for this model lead to the correct general relations for different critical exponents of the coupling constant.

Keywords

Cite

@article{arxiv.2211.04007,
  title  = {Lattice local integrable regularization of the Sine-Gordon model},
  author = {A. A. Ovchinnikov},
  journal= {arXiv preprint arXiv:2211.04007},
  year   = {2022}
}

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LaTex, 8 pages