Monopoles in the presence of the Chern-Simons term via the Julia-Toulouse approach

TL;DR

This paper investigates monopoles in 3D quantum electrodynamics with a Chern-Simons term using the Julia-Toulouse mechanism, providing new insights into symmetry breaking, deconfinement, and fermionic determinants.

Contribution

It offers a novel geometrical interpretation of monopole dynamics and symmetry breaking in the presence of the Chern-Simons term via the Julia-Toulouse approach.

Findings

Proper interpretation of non-conserved currents from Dirac brane symmetry breaking

Clarification of the deconfinement transition mechanism

Method for computing fermionic determinants with Dirac strings

Abstract

We study $QED_3$ with magnetic-like defects using the Julia-Toulouse condensation mechanism (JTM). By a careful treatment of the symmetries we suggest a geometrical interpretation for distinct debatable issues in the MCS-monopole system: (i) the induction of the non-conserved electric current together with the Chern-Simons term (CS), (ii) the deconfinement transition and, (iii) the computation of the fermionic determinant in the presence of Dirac string singularities. The JTM leads to proper interpretation of the non-conserved current as originating from Dirac brane symmetry breaking. The mechanism behind this symmetry breaking is clarified. The physical origin of the deconfinement transition becomes evident in the low energy effective theory induced by the JTM. The proper procedure to compute the fermionic determinant in the presence of Dirac branes will be presented. A byproduct of this approach is the possible appearance of statistical transmutation and the clarification for the different quantization rules for the topological mass.