Monopoles, Polyakov-loops and gauge fixing on the Torus

• Verfasst von: Ford, Chris [VerfasserIn]
• Verfasst von: Pawlowski, Jan M. [VerfasserIn]
• Titel: Monopoles, Polyakov-loops and gauge fixing on the Torus
• Verf.angabe: C. Ford, U.G. Mitreuter, T. Tok, A. Wipf, Theor.–Phys. Institut, Universität Jena Fröbelstieg 1, D–07743 Jena, Germany ; J. M. Pawlowski, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, Ireland
• Fussnoten: Gesehen am 07.12.2017
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 1998
• Band/Heft Quelle: (1998) Artikel-Nummer 9802191, 25 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 156612462X

Abstract

We consider pure Yang Mills theory on the four torus. A set of non-Abelian transition functions is presented which encompass all instanton sectors. It is argued that these transition functions are a convenient starting point for gauge fixing. In particular, we give an extended Abelian projection with respect to the Polyakov loop, where $A_0$ is independent of time and in the Cartan subalgebra. In the non-perturbative sectors such gauge fixings are necessarily singular. These singularities can be restricted to Dirac strings joining monopole and anti-monopole like ``defects''.