Confinement, brane symmetry and the Julia-Toulouse approach for condensation of defects

Abstract

In this work the phenomenon of charge confinement is approached in various contexts. An universal criterion for the identification of this phenomenon in Abelian gauge theories is suggested: the so-called spontaneous breaking of the brane symmetry. This local symmetry has its most common manifestation in the Dirac string ambiguity present in the electromagnetic theory with monopoles. The spontaneous breaking of the brane symmetry means that the Dirac string becomes part of a brane invariant observable which hides the realization of such a symmetry and develops energy content in the confinement regime. The establishment of this regime can be reached through the condensation of topological defects. The effective theory of the confinement regime can be obtained with the Julia-Toulouse prescription which (originally introduced as the dual mechanism to the Abelian Higgs Mechanism) is generalized in this paper in order to become fully compatible with Elitzur's theorem and describe more general condensates which may break Lorentz and discrete spacetime symmetries. This generalized approach for the condensation of defects is presented here through a series of different applications.

66 pages, 4 figures, JHEP style, version accepted for publication in JHEP

References in corpus (6)

• Charge separation induced by P-odd bubbles in QCD matter
• Introduction to Effective Field Theory
• Non-Abelian Supercurrents and de Sitter Ground State in Electroweak Theory
• U(1) effective confinement theory from SU(2) restricted gauge theory via the Julia-Toulouse Approach
• 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 (17)

• A Monodromy from London
• Effective hydrodynamic field theory and condensation picture of topological insulators
• Three-dimensional Lorentz-violating action
• Massive photons and Dirac monopoles: electric condensate and magnetic confinement
• The BF theory as an electric Julia-Toulouse condensate
• Non-local order parameters for states with topological electromagnetic response
• Podolsky electrodynamics from a condensation of topological defects
• Effective field theories for superconducting systems with multiple Fermi surfaces
• Effective confinement theory from Abelian variables in SU(3) gauge theory
• Julia-Toulouse approach to (d+1)-dimensional bosonized Schwinger model with an application to large N QCD
• Experimental signatures of Kalb-Ramond-like particles
• Vanishing DC holographic conductivity from a magnetic monopole condensate
• The Chern-Simons term in a dual Josephson junction
• Multivalued fields and monopole operators
• Magnetic Charge and Photon Mass: Physical String Singularities, Dirac Condition, and Magnetic Confinement
• Low-energy Chern-Simons-Proca theory
• Diagonal and Hall holographic conductivities dual to a bulk condensate of magnetic monopoles