CONFINEMENT, MONOPOLES AND WILSONIAN EFFECTIVE ACTION

An effective low energy action for Yang-Mills theories is proposed, wh ich invokes an additional auxiliary field H-mu nu for the field streng th F-mu nu. For a particular relation between the parameters of this a ction a gluon propagator with a 1/p(4) behaviour for p(2) --> 0 in the Landau gauge is obtained. The abelian subsector of this action admits a duality transformation, where the dual action contains a Goldstone boson phi as the dual of H-mu nu, and corresponds to an abelian Higgs model in the broken phase describing the condensation of magnetic char ges. The Wilsonian renormalization group equations for the parameters of the original action are integrated in some approximation, and we fi nd that the relation among the parameters associated with confinement appears as an infrared attractive fixed point. (C) 1998 Elsevier Scien ce B.V.