Instantons in the Maximally Abelian Gauge

R. C. Brower; K. N. Orginos; C-I Tan

doi:10.1016/S0920-5632(96)00695-0

paper

Instantons in the Maximally Abelian Gauge

arXiv:hep-lat/9608012 · doi:10.1016/S0920-5632(96)00695-0

Abstract

We investigate the Maximally Abelian (MA) Projection for a single $S U (2)$ instanton in continuum gauge theory. We find that there is a class of solutions to the differential MA gauge condition with circular monopole loops of radius $R$ centered on the instanton of width $ρ$ . However, the MA gauge fixing functional $G$ decreases monotonically as $R / ρ \to 0$ . Its global minimum is the instanton in the singular gauge. We point out that interactions with nearby anti-instantons are likely to excite these monopole loops.

Talk presented at LATTICE96(topology), 3 pages, 2 EPS figures, needs espcrc2.sty