Ehrenfest theorems for field strength and electric current in Abelian projected SU(2) lattice gauge theory

Physics – High Energy Physics – High Energy Physics - Lattice

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3pp. LaTeX, using espcrc2.sty. Talk presented at Lattice 97

Scientific paper

10.1016/S0920-5632(97)00822-0

We derive an Ehrenfest theorem for SU(2) lattice gauge theory which, after Abelian projection, relates the Abelian field strength and a dynamical electric current and defines these operators for finite lattice spacing. Preliminary results from the ongoing numerical test of the relation are presented, including the contributions from gauge fixing and the Faddeev-Popov determinant (the ghost fields) in the maximally Abelian gauge.

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