Confinement with Kalb - Ramond Fields

الأصل · EN

We consider models with N U(1) gauge fields Aμⁿ, N Kalb-Ramond fields Bμνⁿ, an arbitrary bare action and a fixed UV cutoff Λ. Under mild assumptions these can be obtained as effective low energy theories of SU(N+1) Yang Mills theories in the maximal abelian gauge. For a large class of bare actions they can be solved in the large N limit and exhibit confinement. The confining phase is characterized by an approximate ``low energy'' vector gauge symmetry under which the Kalb-Ramond fields Bμνⁿ transform. The same symmetry allows for a duality transformation showing that magnetic monopoles have condensed. The models allow for various mechanisms of confinement, depending on which sources for Aμⁿ or Bμνⁿ are switched on, but the area law for the Wilson loop is obtained in any case.