Remarks on a $B \wedge F$ model with topological mass from gauging spin

TL;DR

This paper analyzes a $B  F$ model with topological mass, revealing confinement and screening effects through gauge-invariant variables, and connects these results to a theory involving antisymmetric tensor fields from topological defect condensation.

Contribution

It demonstrates the confinement mechanism in a $B  F$ model with topological mass and relates it to a tensor field theory derived from the Julia-Toulouse mechanism.

Findings

Static potential is a sum of Yukawa and linear potentials.

Charges experience confinement due to the combined potential.

Results connect topological defect condensation with confinement phenomena.

Abstract

Aspects of screening and confinement are reassessed for a $B \wedge F$ model with topological mass with the gauging of spin. Our discussion is carried out using the gauge-invariant, but path-dependent, variables formalism. We explicitly show that the static potential profile is the sum of a Yukawa and a linear potential, leading to the confinement of static external charges. Interestingly enough, similar results are obtained in a theory of antisymmetric tensor fields that results from the condensation of topological defects as a consequence of the Julia-Toulouse mechanism.