Smooth Non-Abelian Bosonization

TL;DR

This paper extends smooth bosonization to non-Abelian theories by constructing a theory with both bosonic and fermionic fields, enabling a smooth interpolation between fermionic and bosonic representations through a gauge fixing parameter.

Contribution

It introduces a non-Abelian extension of smooth bosonization, providing a new method to interpolate between fermionic and bosonic descriptions via a gauge fixing approach.

Findings

Constructed a non-Abelian bosonization framework with local chiral gauge symmetry.

Demonstrated a smooth interpolation between fermionic and bosonic theories.

Provided a complementary approach to duality-based bosonization methods.

Abstract

We present an extension of ``smooth bosonization'' to the non-Abelian case. We construct an enlarged theory containing both bosonic and fermionic fields which exhibits a local chiral gauge symmetry. A gauge fixing function depending on one real parameter allows us to interpolate smoothly between a purely fermionic and a purely bosonic representation. The procedure is, in the special case of bosonization, complementary to the approach based on duality.