U(1) effective confinement theory from SU(2) restricted gauge theory via the Julia-Toulouse Approach

Abstract

We derive an U(1) effective theory of color confinement by applying the so-called Julia-Toulouse Approach for defects condensation to the SU(2) restricted gauge theory defined by means of the Cho decomposition of the non-abelian connection. Cho's geometric construction naturally displays the topological degrees of freedom of the theory and can be used to put the Yang-Mills action into an abelianized form under certain conditions. On the other hand, the use of the Julia-Toulouse prescription to deal with the monopole condensation leads to an effective action describing the phase whose dynamics is dominated by the magnetic condensate. The effective theory we found describes the interaction between external electric currents displaying a short-range Yukawa interaction plus a linear confinement term that governs the long distance physics.

arXiv comment7 pages

References in corpus (12)

• Partially Dual variables in SU(2) Yang-Mills Theory
• On the Significance of the Quantity "A Squared"
• Phases of Antisymmetric Tensor Field Theories
• Dual superconductor models of color confinement
• Spin-Charge Separation, Conformal Covariance and the SU(2) Yang-Mills Theory
• QCD versus Skyrme-Faddeev Theory
• Defining < A^2 > in the finite volume hamiltonian formalism
• Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
• On condensation of topological defects and confinement
• Dual approaches for defects condensation
• 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

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• Effective confinement theory from Abelian variables in SU(3) gauge theory
• Abelian-Higgs model from Cho-Faddeev-Niemi decomposition
• Vanishing DC holographic conductivity from a magnetic monopole condensate
• Appearance of vortices and monopoles in a decomposition of an SU(2) Yang-Mills field
• The Chern-Simons term in a dual Josephson junction
• Skyrme-Faddeev Lagrangian from reformulated Georgi-Glashow model