Quantization of 2D Abelian Gauge Theory without the Kinetic Term of Gauge Field as Anomalous Gauge Theory

TL;DR

This paper investigates the quantization of a 2D Abelian gauge theory lacking a kinetic term, revealing that gauge anomaly makes the gauge field dynamical, which impacts the understanding of anomalous gauge theories.

Contribution

It demonstrates the quantization of a 2D Abelian gauge theory without a kinetic term as an anomalous gauge theory, highlighting the dynamical nature of the gauge field due to anomaly.

Findings

Gauge field becomes dynamical because of gauge anomaly

Quantization in the most general gauge conditions

Insights into anomalous gauge theories without kinetic terms

Abstract

The massless Schwinger model without the kinetic term of gauge field has gauge anomaly. We quantize the model as an anomalous gauge theory in the most general class of gauge conditions. We show that the gauge field becomes a dynamical variable because of gauge anomaly.