Poincare Algebra in Chiral QCD_2

TL;DR

This paper constructs a quantum theory of chiral QCD_2 on a cylinder that accounts for anomalies, and analyzes how the Poincare algebra differs from the classical case.

Contribution

It provides a novel construction of the Poincare algebra in chiral QCD_2 that incorporates anomaly effects, highlighting differences from the classical algebra.

Findings

The Poincare algebra in chiral QCD_2 is modified due to anomalies.

A consistent quantum theory respecting anomaly constraints is developed.

The algebra of Poincare generators differs from the classical algebra in this setting.

Abstract

For the chiral QCD_2 on a cylinder, we give a construction of a quantum theory consistent with anomaly. We construct the algebra of the Poincare generators and show that it differs from the Poincare one.