Bosonization in d=2 from finite chiral determinants with a Gauss decomposition

TL;DR

This paper presents a straightforward method to bosonize two-dimensional non-abelian models using finite chiral determinants derived from a Gauss decomposition, naturally incorporating the counterterm usually added manually.

Contribution

It introduces a novel approach to bosonization in 2D non-abelian models using finite chiral determinants, simplifying calculations and naturally deriving the counterterm.

Findings

Bosonization achieved via finite chiral determinants from Gauss decomposition.

Counterterm $Aar A$ emerges naturally in this framework.

Method simplifies the bosonization process for non-abelian models.

Abstract

We show how to bosonize two-dimensional non-abelian models using finite chiral determinants calculated from a Gauss decomposition. The calculation is quite straightforward and hardly more involved than for the abelian case. In particular, the counterterm $A\bar A$, which is normally motivated from gauge invariance and then added by hand, appears naturally in this approach.