Current correlation functions from a bosonized theory in 3/2+1 dimensions

TL;DR

This paper computes current correlation functions in a bosonized 2+1 dimensional Dirac theory constrained to a half-plane, analyzing induced vacuum currents and comparing with fermionic models in the large-mass limit.

Contribution

It provides explicit calculations of current correlations in a bosonized 3/2+1 dimensional model, linking bosonic and fermionic descriptions in the large-mass regime.

Findings

Derived explicit current-current correlation functions.

Analyzed induced vacuum currents under external fields.

Established connections with fermionic models in the large-mass limit.

Abstract

Within the context of a bosonized theory, we evaluate the current-current correlation functions corresponding to a massive Dirac field in 2+1 dimensions, which is constrained to a spatial half-plane. We apply the result to the evaluation of induced vacuum currents in the presence of an external field. We comment on the relation with the purely fermionic version of the model, in the large-mass limit.