On Massive Vector Bosons and Abelian Magnetic Monopoles in D=(3+1): a Possible Way to Quantise the Topological Mass Parameter

TL;DR

This paper explores an Abelian gauge model with topological mass terms, demonstrating the existence of magnetic monopoles, deriving a generalized quantization condition involving the mass parameter, and showing that quantum corrections do not alter this parameter.

Contribution

It introduces a novel Abelian gauge model with topological mass terms, establishing monopole solutions and a new quantization condition unaffected by quantum corrections.

Findings

Existence of Dirac-like magnetic monopoles in the model

Derivation of a generalized quantization condition involving the mass parameter

Quantum 1-loop corrections do not shift the mass parameter

Abstract

An Abelian gauge model, with vector and 2-form potential fields linked by a topological mass term that mixes the two Abelian factors, is shown to exhibit Dirac-like magnetic monopoles in the presence of a matter background. In addition, considering a "non-minimal coupling" between the fermions and the tensor field, we obtain a generalised quantisation condition that involves, among others, the mass parameter. Also, it is explicitly shown that 1_loop (finite) corrections do not shift the value of such a mass parameter.