A note on the vector Schwinger Model with the photon mass term: Gauge invariant reformulation, operator solution and path integral formulation

TL;DR

This paper reexamines the vector Schwinger model with a photon mass term, providing a gauge-invariant reformulation, operator solution, and path integral approach, revealing a generalized gauge boson mass expression.

Contribution

It offers a new gauge-invariant reformulation and operator solution for the vector Schwinger model with a photon mass term, contrasting recent findings.

Findings

Mass of the gauge boson has a generalized expression.

Phase space structure is determined for the modified model.

Contradicts recent publication on gauge boson mass.

Abstract

Vector Schwinger model is reinvestigated with the mass like term for gauge field. Phase space structure has been determined in this situation. It has been found that mass of the gauge boson acquires a generalized expression with the bare coupling constant and the parameters involved in the masslike terms for the gauge field which is in contrast with the result of a recent publication on this issue.