Consistent and covariant commutator anomalies in the chiral Schwinger model

TL;DR

This paper derives all covariant and consistent anomalies in chiral QED2 using canonical quantization, analyzes operator evolution, and discusses the implications for gauge-field space curvature.

Contribution

It provides a comprehensive derivation of anomalies and operator dynamics in chiral QED2 within the canonical framework, clarifying their structure and evolution.

Findings

All anomalies are derived explicitly in the canonical framework.

Operators evolve canonically over time.

Relation to nontrivial U(1)-curvature is discussed.

Abstract

We derive all covariant and consistent divergence and commutator anomalies of chiral QED$_2$ within the framework of canonical quantization of the fermions. Further, we compute the time evolution of all occurring operators and find that all commutators evolve canonically. We comment on the relation of our results to the finding of a nontrivial U(1)-curvature in gauge-field space.