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arXiv · hep-th/0001175

Instantons and Gribov Copies in the Maximally Abelian Gauge

F. Bruckmann·T. Heinzl·T. Tok·A. Wipf
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Abstract

We calculate the Faddeev-Popov operator corresponding to the maximally Abelian gauge for gauge group SU(N). Specializing to SU(2) we look for explicit zero modes of this operator. Within an illuminating toy model (Yang-Mills mechanics) the problem can be completely solved and understood. In the field theory case we are able to find an analytic expression for a normalizable zero mode in the background of a single `t Hooft instanton. Accordingly, such an instanton corresponds to a horizon configuration in the maximally Abelian gauge. Possible physical implications are discussed.

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F. Bruckmann, T. Heinzl, T. Tok, A. Wipf. 2000-03-06. Instantons and Gribov Copies in the Maximally Abelian Gauge. https://doi.org/10.1016/s0550-3213(00)00355-2

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