DISTRIBUTION OF MAGNETIC MONOPOLES WITHIN CUBES IN COMPACT QED

Abstract

Earlier investigations [Int. J. Mod. Phys. A19, 5017 (2004)] showed local minima in the monopole–antimonopole potential in U(1) gauge theory on the lattice. In this paper we localize monopoles of Monte Carlo configurations. A statistical analysis of localization measurements gives us the probability density which we compare with the potential found in Ref. 1. We find the monopoles mainly located either in the center of three-dimensional cubes or on the interface between two cubes. This agrees with the position of minima and maxima of the monopole–antimonopole potential.