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Monopoles, Polyakov Loops, and Gauge Fixing on the Torus

✍ Scribed by C. Ford; U.G. Mitreuter; T. Tok; A. Wipf; J.M. Pawlowski

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 637 KB
Volume: 269
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.1998.5841

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✦ Synopsis

We consider pure Yang Mills theory on the four torus. A set of non-Abelian transition functions which encompass all instanton sectors is presented. 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 antimonopole like ``defects''.

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