Instantons, monopoles, vortices, and the Faddeev-Popov operator eigenspectrum
arXiv:hep-th/0610011 · doi:10.1016/j.nuclphysa.2007.03.096
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.
4 pages, talk presented at the 18th international IUPAP conference on few-body problems in physics, Santos, Brazil, 21st-26th of August 2006; submitted to the proceedings