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

Abstract

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.

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

References in corpus (4)

• Structure of Abrikosov Vortices in SU(2) Lattice Gauge Theory
• Colour confinement as dual Meissner effect: $SU(2)$ gauge theory
• Monopole Currents in U(1) Lattice Gauge Theory: A Comparison to an Effective Model based on Dual Superconductivity
• Magnetic Monopoles and the Dual London Equation in SU(3) Lattice Gauge Theory

Cited by in corpus (1)

• Dynamically generated electric charge distributions in Abelian projected SU(2) lattice gauge theories