EFFECTIVE CONSTRAINT POTENTIAL FOR ABELIAN MONOPOLE IN SU(2) LATTICE GAUGE-THEORY

We describe numerical calculation results for the probability distribu tion of the value of the monopole creation operator in the SU(2) latti ce gluodynamics. We work in the maximal Abelian projection. It occurs that at low temperatures, below the deconfinement phase transition, th e maximum of the distribution is shifted from zero, which means that t he effective constraint potential is of the Higgs type. Above the phas e transition the minimum of the potential (the maximum of the monopole held distribution) is at the zero value of the monopole field. This f act confirms the existence of the Abelian monopole condensate in the c onfinement phase of lattice gluodynamics, and agrees with the dual sup erconductor model of the confining vacuum. (C) 1997 Published by Elsev ier Science B.V.