Deformations of Fermionic Quantum Field Theories and Integrable Models

TL;DR

This paper demonstrates how deformation techniques applied to a scalar massive Fermion can generate all two-dimensional integrable quantum field theories with specific S-matrix properties, including the Sinh-Gordon model, and explores their properties in higher dimensions.

Contribution

It introduces a method to derive integrable quantum field models from Fermionic theories using deformations, expanding the understanding of their structure and properties.

Findings

All integrable models with S_2(0) = -1 can be obtained via deformation.

The deformed models include the Sinh-Gordon model.

Higher-dimensional properties like locality and covariance are analyzed.

Abstract

Considering the model of a scalar massive Fermion, it is shown that by means of deformation techniques it is possible to obtain all integrable quantum field theoretic models on two-dimensional Minkowski space which have factorizing S-matrices corresponding to two-particle scattering functions S_2 satisfying S_2(0) = -1. Among these models there is for example the Sinh-Gordon model. Our analysis provides a complement to recent developments regarding deformations of quantum field theories. The deformed model is investigated also in higher dimensions. In particular, locality and covariance properties are analyzed.