Correlations of the topological charge Q, the electric current J(e), and th
e magnetic current J(m) in SU( 2) lattice gauge theory in the maximal Abeli
an projection are investigated. It is found that the correlator ((Q(Je Jm))
) is nonzero for a wide range of values of the bare charge. It is shown tha
t: (i) the Abelian monopoles in the maximal Abelian projection are dyons wh
ich carry fluctuating electric charge; (ii) the sign of the electric charge
e (x) coincides with that of the product of the monopole charge m(x) and t
he topological charge density Q(x). (C) 1999 American Institute of Physics.