Monopoles, Polyakov-loops and gauge fixing on the Torus
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 wit...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
1998
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| In: |
Arxiv
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| Online Access: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/hep-th/9802191
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| Author Notes: | 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 |
| Summary: | 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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| Item Description: | Gesehen am 07.12.2017 |
| Physical Description: | Online Resource |