Lattice regularization of massive and massless integrable field theories

TL;DR

This paper demonstrates how integrable lattice models with specific weights serve as effective regularizations for both massive and massless integrable quantum field theories, enabling computation of their S matrices.

Contribution

It introduces a lattice regularization approach for massive and massless integrable field theories using vertex and RSOS models with trigonometric weights.

Findings

Massive and massless S matrices derived from lattice Bethe ansatz.

Lattice models effectively regularize continuum integrable theories.

Provides a bridge between lattice models and quantum field theory.

Abstract

We show that integrable vertex and RSOS models with trigonometric Boltzmann weights and appropriate inhomogeneities provide a convenient lattice regularization for massive field theories and for the recently studied massless field theories that interpolate between two non trivial conformal field theories. Massive and massless S matrices are computed from the lattice Bethe ansatz.