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.

7 pages

References in corpus (4)

• Spin-Charge Separation, Conformal Covariance and the SU(2) Yang-Mills Theory
• Center vortices as sources of Abelian dominance in pure SU(2) Yang-Mills theory
• 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 (3)

• Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
• Abelian-Higgs model from Cho-Faddeev-Niemi decomposition
• Vanishing DC holographic conductivity from a magnetic monopole condensate