Monopoles and vortices in pure gauge theories and in Higgs theories

Abstract

Smeared Abelian and center gauges are introduced in pure non-Abelian lattice gauge theories. Popular Abelian and center gauges are limits of smeared gauges. Smeared gauges are also shown to be equivalent to Higgs theories. As a result, distributions and interactions of monopoles and vortices, which are objects responsible for confinement in pure gauge theories, can be studied by investigating classical solutions of Higgs theories.

13 pages, A detailed proof of locality of the action in the relevant limit is given