Vector Schwinger Model with a Photon Mass Term on the Light-Front

TL;DR

This paper investigates a 2D electrodynamics model with a photon mass term on the light-front, revealing gauge invariance in this formulation and providing a new perspective on the vector Schwinger model.

Contribution

It introduces a light-front quantization of the vector Schwinger model with a photon mass, highlighting gauge invariance in this approach unlike the instant-form.

Findings

Gauge invariance achieved on the light-front

Quantization of the massive photon model performed

Contrasts with instant-form gauge properties

Abstract

Vector Schwinger model with a mass term for the photon, describing 2D electrodyn amics with massless fermions, studied by us recently, represents a new class of models. This theory becomes gauge-invariant when studied on the light-front. Thi s is in contrast to the instant-form theory which is gauge-noninvariant. We quan tize this theory on the light-front.