Grassmann manifold Bosonization of QCD in Two Dimensions

TL;DR

This paper presents a bosonization approach to two-dimensional QCD, revealing its integrable structure, conserved quantities, and physical implications within a deformed Wess-Zumino-Witten model framework.

Contribution

It introduces a novel bosonization of 2D QCD on the Grassmann manifold and analyzes the integrability conditions and conserved quantities of the model.

Findings

QCD bosonization leads to an integrably deformed Wess-Zumino-Witten model

Identification of fermions with Grassmann manifold indices

Discovery of infinitely many conserved quantities

Abstract

Two dimensional QCD is bosonized to be an integrably deformed Wess-Zumino-Witten model under proper limit. Fermions are identified having indices of the Grassmann manifold. Conditions for integrability are analyzed and their physical meanings are discussed. We also address the nature of the exactly solvable part of the theory and find the infinitely many conserved quantities.