Exact Results for Integrable Asymptotically-free Field Theories

TL;DR

This paper presents a technique to verify the equivalence between exact factorizable S-matrices and asymptotically-free Lagrangian field theories in two dimensions, resolving ambiguities and precisely determining physical masses.

Contribution

It introduces a method to test S-matrix and Lagrangian equivalence, resolving CDD ambiguities and linking physical masses to perturbative parameters.

Findings

Method successfully tests S-matrix and Lagrangian equivalence.

Exact mass determination in terms of Lambda parameter.

Summarized results for specific integrable models.

Abstract

An account is given of a technique for testing the equivalence between an exact factorizable S-matrix and an asymptotically-free Lagrangian field theory in two space-time dimensions. The method provides a way of resolving CDD ambiguities in the S-matrix and it also allows for an exact determination of the physical mass in terms of the Lambda parameter of perturbation theory. The results for various specific examples are summarized. (To appear in the Proceedings of the Conference on Recent Developments in Quantum Field Theory and Statistical Mechanics, ICTP, Trieste, Easter 1995).