Consistency of lattice definitions of U(1) flux in Abelian projected SU(2) gauge theory

Details Consistency of lattice definitions of U(1) flux in Abelian projected SU(2) gauge theory Consistency of lattice definitions of U(1) flux in Abelian projected SU(2) gauge theory

2003-10-07

arxiv.org/abs/hep-lat/0310017v1

Physics

High Energy Physics

High Energy Physics - Lattice

2 pages, 2 eps figures, Lattice 2003 contributed talk

Scientific paper

10.1016/S0920-5632(03)02667-7

We reexamine the dual Abrikosov vortex under the requirement that the lattice averages of the fields satisfy exact Maxwell equations [ME]. The electric ME accounts for the total flux and the magnetic ME determines the shape of the confining string. This leads to unique and consistent definitions of flux and electric and magnetic currents at finite lattice spacing. The resulting modification of the standard DeGrand-Toussaint construction gives a magnetic current comprised of smeared monopoles.

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