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

Abstract

We study $QE{D}_3$ 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.

6 pages, 2 figures, minor changes, references added, accepted for publication in Physics Letters B

References in corpus (2)

• Localization of Gauge Fields and Monopole Tunnelling
• Radiative processes as a condensation phenomenon and the physical meaning of deformed canonical structures

Cited by in corpus (4)

• Three-dimensional Lorentz-violating action
• U(1) effective confinement theory from SU(2) restricted gauge theory via the Julia-Toulouse Approach
• Vanishing DC holographic conductivity from a magnetic monopole condensate
• Diagonal and Hall holographic conductivities dual to a bulk condensate of magnetic monopoles