A local and integrable lattice regularization of the massive Thirring model

TL;DR

This paper presents a local, integrable lattice Hamiltonian formulation of the massive Thirring model using discrete fermion fields, clarifying boundary conditions, continuum limits, and the connection between lattice parameters and continuum couplings.

Contribution

It introduces a novel local lattice regularization of the massive Thirring model that preserves integrability and clarifies key subtleties in the continuum limit and parameter relations.

Findings

Established a local, integrable lattice Hamiltonian for the massive Thirring model.

Analyzed the relation between lattice anisotropy and continuum coupling constants.

Clarified the treatment of boundary conditions and fermion doublers.

Abstract

The light--cone lattice approach to the massive Thirring model is reformulated using a local and integrable lattice Hamiltonian written in terms of discrete fermi fields. Several subtle points concerning boundary conditions, normal--ordering, continuum limit, finite renormalizations and decoupling of fermion doublers are elucidated. The relations connecting the six--vertex anisotropy and the various coupling constants of the continuum are analyzed in detail.