Compensating fields, bosonization and soldering in QCD2

TL;DR

This paper explores the use of compensating fields and bosonization techniques to analyze quantum features of two-dimensional QCD, focusing on the anomalous divergence of the chiral current and its bosonic-fermionic mapping.

Contribution

It demonstrates how soldering of bosonized actions enables the mapping between bosonic and fermionic representations of extended QCD2 with compensating fields.

Findings

Bosonic formulation reveals chiral anomaly through equations of motion.

Soldering techniques facilitate the bosonization of extended QCD2.

Mapping between fermionic and bosonic descriptions is established.

Abstract

An interesting tool for investigating the quantum features of a field theory is the introduction of compensating fields. For instance, the anomalous divergence of the chiral current can be calculated in the field-antifield formalism from an extended form of QCD with compensating fields. The interpretation of this procedure from the bosonized point of view, in the two dimensional case, crucially depends on the possibility of defining a bosonized version for the extended theory. We show, by using some recent results on the soldering of bosonized actions corresponding to chiral fermions, how is the mapping between bosonic and fermionic representations of this extended $QCD_2$. In the bosonic formulation the anomalous divergence of the chiral current shows up from the equations of motion of the compensating fields.