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Instantons, monopoles, vortices, and the Faddeev-Popov operator eigenspectrum

Axel Maas
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Abstract

The relation of confinement scenarios based on topological configurations and the Gribov-Zwanziger scenario is examined. To this end the eigenspectrum of the central operator in the Gribov-Zwanziger scenario, the Faddeev-Popov operator, is studied in topological field configurations. It is found that instantons, monopoles, and vortices contribute to the spectrum in a qualitatively similar way. Especially, all give rise to additional zero-modes and thus can contribute to the Gribov-Zwanziger confinement mechanism. Hence a close relation between these confinement scenarios likely exists.

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Axel Maas. 2006-09-30. Instantons, monopoles, vortices, and the Faddeev-Popov operator eigenspectrum. https://doi.org/10.1016/j.nuclphysa.2007.03.096

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