Multiparameter Integrable QFT's with N bosons

TL;DR

This paper introduces a new family of integrable quantum field theories with N bosons and adjustable masses, connecting to known models and applicable as continuum limits of integrable spin chains.

Contribution

It presents a novel class of integrable models with multiple parameters, unifying and extending existing theories like sine-Gordon and chiral Gross Neveu models.

Findings

Theories include scalar particles with no bound states.

Resemblance to Thirring model cut-off analysis.

Applicable as continuum limits of integrable quantum spin chains.

Abstract

We introduce a new family of integrable theories with $N$ bosons and $N$ freely adjustable mass parameters. These theories restrict in particular limits to the ``generalized supersymmetric'' sine-Gordon models, as well as to the flavor anisotropic chiral Gross Neveu models (studied recently by N. Andrei and collaborators). The scattering theory involves scalar particles that are no bound states, and bears an intriguing resemblance wih the results of a sharp cut-off analysis of the Thirring model carried out by Korepin in (1980). Various physical applications are discussed. In particular, we demonstrate that our theories are the appropriate continuum limit of integrable quantum spin chains with mixtures of spins.