G. Dicecio et al., EHRENFEST THEOREMS FOR FIELD-STRENGTH AND ELECTRIC-CURRENT IN ABELIANPROJECTED SU(2) LATTICE GAUGE-THEORY, Nuclear physics. B, Proceedings supplement, 63, 1998, pp. 525-527
We derive an Ehrenfest theorem for SU(2) lattice gauge theory which, a
fter Abelian projection, relates the Abelian field strength and a dyna
mical electric current and defines these operators for finite lattice
spacing. Preliminary results from the ongoing numerical test of the re
lation are presented, including the contributions from gauge fixing an
d the Faddeev-Popov determinant (the ghost fields) in the maximally Ab
elian gauge.