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arXiv · hep-lat/9608012

Instantons in the Maximally Abelian Gauge

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 $ρ$. However, the MA gauge fixing functional $G$ decreases monotonically as $R/ρ\rightarrow 0$. 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.

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R. C. Brower, K. N. Orginos, C-I Tan. 1996-08-03. Instantons in the Maximally Abelian Gauge. https://doi.org/10.1016/s0920-5632(96)00695-0

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