Vortex Correlation Functions in Maxwell-Chern-Simons Models

TL;DR

This paper investigates vortex correlation functions in Maxwell-Chern-Simons models with instanton backgrounds, exploring their potential to produce spin 1/2 excitations and connections to 3D fermionic bosonization.

Contribution

It extends Maxwell-Chern-Simons models by including nonlocal terms and computes vortex correlations, analyzing spin and fermionic excitation possibilities.

Findings

Vortex correlation functions are explicitly computed.

The study suggests conditions for spin 1/2 excitation emergence.

Connections to bosonization in 3D fermionic systems are discussed.

Abstract

Maxwell-Chern-Simons models in the presence of an instanton anti-instanton background are studied. The saddle-point configuration corresponds to the creation and annihilation of a vortex localized around the Dirac string needed to support the nontrivial background. This configuration is generalized to the case in which a nonlocal Maxwell term is allowed in order to fulfill the finite action requirement. Following 't Hooft procedure, we compute the vortex correlation functions and we study the possibility of obtaining spin 1/2 excitations. A possible connection with the bosonization of interacting three-dimensional massive fermionic systems is also discussed.