Julia-Toulouse approach to (d+1)-dimensional bosonized Schwinger model with an application to large N QCD

TL;DR

This paper applies the Julia-Toulouse condensation approach to derive bosonized Schwinger models in various dimensions, linking electric charge condensation to the emergence of massive and massless models, and extends the framework to large N QCD.

Contribution

It introduces a novel application of the Julia-Toulouse approach to derive bosonized Schwinger models across different dimensions, including large N QCD.

Findings

Bosonized Schwinger model obtained via charge condensation.

Massive and massless models distinguished by vortex presence.

Framework generalized to arbitrary spacetime dimensions.

Abstract

The Julia-Toulouse approach for condensation of charges and defects is used to show that the bosonized Schwinger model can be obtained through a condensation of electric charges in 1+1 dimensions. The massive model is derived by taking into account the presence of vortices over the electric condensate, while the massless model is obtained when these vortices are absent. This construction is then straightforwardly generalized for arbitrary d+1 spacetime dimensions. The d=3 case corresponds to the large N chiral dynamics of SU(N) QCD in the limit $N\rightarrow\infty$.