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arXiv · hep-th/9802191

Monopoles, Polyakov-Loops and Gauge Fixing on the Torus

C. Ford·U. G. Mitreuter·J. Pawlowski·T. Tok·A. Wipf
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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''.

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C. Ford, U. G. Mitreuter, J. Pawlowski, T. Tok, A. Wipf. 1998-03-17. Monopoles, Polyakov-Loops and Gauge Fixing on the Torus. https://doi.org/10.1006/aphy.1998.5841

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