The BF theory as an electric Julia-Toulouse condensate

Abstract

The Julia-Toulouse mechanism is used to show that the topological Abelian BF term may be induced by the condensation of electric charges. As an application we discuss the subtle question of including consistently magnetic defects into the Maxwell-BF theory in a way to avoid the usual problems of current conservation, charge quantization, Elitzur's theorem violation and the reality of the Dirac brane, produced by the non-minimal coupling. We also discuss a new way of obtaining the Dirac's veto, which is based on the so-called Dirac brane symmetry.

5 pages, reorganized and shortened version accepted for publication in the Brief Reports section of Physical Review D

References in corpus (5)

• Topological BF field theory description of topological insulators
• Time-reversal symmetric hierarchy of fractional incompressible liquids
• Confinement, brane symmetry and the Julia-Toulouse approach for condensation of defects
• Monopoles in the presence of the Chern-Simons term via the Julia-Toulouse approach
• Radiative processes as a condensation phenomenon and the physical meaning of deformed canonical structures

Cited by in corpus (10)

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• Three-dimensional Lorentz-violating action
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• Lorentz invariance violation and simultaneous emission of electromagnetic and gravitational waves
• Effective field theories for superconducting systems with multiple Fermi surfaces
• Julia-Toulouse approach to (d+1)-dimensional bosonized Schwinger model with an application to large N QCD
• Multivalued fields and monopole operators
• The Universe as a Set of Topological Fluids with Hierarchy and Fine Tuning of Coupling Constants in Terms of Graph Manifolds
• The Chern-Simons term in a dual Josephson junction
• Diagonal and Hall holographic conductivities dual to a bulk condensate of magnetic monopoles