Soluble field theory with a massless gauge invariant limit

TL;DR

This paper introduces a solvable (1+1)-dimensional field theory model with a massless, gauge-invariant limit, providing explicit propagator calculations and demonstrating a non-singular zero-mass limit that preserves gauge invariance.

Contribution

It presents a new four-parameter soluble model in (1+1) dimensions with a non-singular massless limit maintaining gauge invariance, expanding understanding of gauge theories.

Findings

Explicit propagators derived from known vector coupling theory

Non-singular zero bare mass limit with unbroken gauge invariance

Model's solvability and gauge invariance preserved in the massless limit

Abstract

It is shown that there exists a soluble four parameter model in (1+1) dimensions all of whose propagators can be determined in terms of the corresponding known propagators of the vector coupling theory. Unlike the latter case, however, the limit of zero bare mass is nonsingular and yields a nontrivial theory with a rigorously unbroken gauge invariance.