Instantons in the Maximally Abelian Gauge

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

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

Instantons in the Maximally Abelian Gauge

High Energy Physics - Lattice 2009-10-28 v1

Authors: R. C. Brower , K. N. Orginos , C-I Tan

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Abstract

We investigate the Maximally Abelian (MA) Projection for a single $SU(2)$ 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 $\rho$ . However, the MA gauge fixing functional $G$ decreases monotonically as $R/\rho \rightarrow 0$ . 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.

Keywords

Maximally Abelian gauge SU(2) instanton monopole loops gauge fixing singular gauge

Cite

@article{arxiv.hep-lat/9608012,
  title  = {Instantons in the Maximally Abelian Gauge},
  author = {R. C. Brower and K. N. Orginos and C-I Tan},
  journal= {arXiv preprint arXiv:hep-lat/9608012},
  year   = {2009}
}

Comments

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

Instantons in the Maximally Abelian Gauge

Abstract

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