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.

arXiv comment6 pages, 2 figures, minor changes, references added, accepted for publication in Physics Letters B

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• Phases of Antisymmetric Tensor Field Theories
• Topological Excitations in Compact Maxwell-Chern-Simons Theory
• 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 (12)

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• Three-dimensional Lorentz-violating action
• Dual approaches for defects condensation
• U(1) effective confinement theory from SU(2) restricted gauge theory via the Julia-Toulouse Approach
• Massive photons and Dirac monopoles: electric condensate and magnetic confinement
• Non-local order parameters for states with topological electromagnetic response
• The BF theory as an electric Julia-Toulouse condensate
• Effective confinement theory from Abelian variables in SU(3) gauge theory
• Vanishing DC holographic conductivity from a magnetic monopole condensate
• The Chern-Simons term in a dual Josephson junction
• Chaotic instantons in scalar field theory
• Diagonal and Hall holographic conductivities dual to a bulk condensate of magnetic monopoles