  We describe the current search for confinement mechanisms in lattice QCD. We
report on a recent derivation of a lattice Ehrenfest-Maxwell relation for the
Abelian projection of SU(2) lattice gauge theory. This gives a precise lattice
definition of field strength and electric current due to static sources,
charged dynamical fields, gauge fixing and ghosts. In the maximal Abelian gauge
the electric charge is anti-screened analogously to the non-Abelian charge.
