Instantons and Gribov Copies in the Maximally Abelian Gauge

Details Instantons and Gribov Copies in the Maximally Abelian Gauge Instantons and Gribov Copies in the Maximally Abelian Gauge

2000-01-26

arxiv.org/abs/hep-th/0001175v3

Nucl.Phys. B584 (2000) 589-614

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, 8 figures, v3: references added

Scientific paper

10.1016/S0550-3213(00)00355-2

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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