Instantons and Gribov Copies in the Maximally Abelian Gauge

F Bruckmann, T Heinzl, T Tok, A Wipf

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)589-614
Number of pages0
JournalNucl.Phys. B
Volume584
Issue number0
Publication statusPublished - 26 Jan 2000

Keywords

  • hep-th
  • hep-lat

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