Lattice local integrable regularization of the Sine-Gordon model

TL;DR

This paper introduces a local lattice regularization of the Sine-Gordon model using lattice Bose-operators, demonstrating its integrability and connection to the six-vertex model, and confirms the critical exponents via Bethe Ansatz.

Contribution

It presents a novel local lattice regularization of the Sine-Gordon model and establishes its integrability and critical behavior through Bethe Ansatz analysis.

Findings

The lattice Hamiltonian reproduces the Sine-Gordon model in the low-energy limit.

Bethe Ansatz results match the expected critical exponents.

The approach confirms the integrability of the lattice regularization.

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.