On the spectrum of the Faddeev-Popov operator in topological background fields

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dc.creatorMaas, Axel
dc.date2005-11-30
dc.date.accessioned2026-07-07T10:45:22Z
dc.date.available2026-07-07T10:45:22Z
dc.descriptionIn the Gribov-Zwanziger scenario the confinement of gluons is attributed to an enhancement of the spectrum of the Faddeev-Popov operator near eigenvalue zero. This has been observed in functional and also in lattice calculations. The linear rise of the quark-anti-quark potential and thus quark confinement on the other hand seems to be connected to topological excitations. To investigate whether a connection exists between both aspects of confinement, the spectrum of the Faddeev-Popov operator in two topological background fields is determined analytically in SU(2) Yang-Mills theory. It is found that a single instanton, which is likely irrelevant to quark confinement, also sustains only few additional zero-modes. A center vortex, which is likely important to quark confinement, is found to contribute much more zero-modes, provided the vortex is of sufficient flux. Furthermore, the corresponding eigenstates in the vortex case satisfy one necessary condition for the confinement of quarks.
dc.description14 pages, 4 figures, submitted to EPJC
dc.identifierhttps://arxiv.org/abs/hep-th/0511307
dc.identifierhttp://arxiv.org/abs/hep-th/0511307
dc.identifierEur.Phys.J.C48:179-192,2006
dc.identifierdoi:10.1140/epjc/s10052-006-0003-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182892
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleOn the spectrum of the Faddeev-Popov operator in topological background fields
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