1998/02/28 by C. Ford, U.G. Mitreuter, U. G. Mitreuter +4
Physics and Astronomy · Social Sciences · #Abelian group #Black Holes and Theoretical Physics #Gauge (firearms) #Gauge fixing #Gauge theory #Gravitational singularity #Instanton #International Science and Diplomacy #Magnetic monopole #Projection (relational algebra) #Quantum and Classical Electrodynamics #Torus #hep-ph #hep-th
paper · pdf · doi:10.1006/aphy.1998.5841
published as Annals Phys. 269 (1998) 26-50 · 24 pages, 4 figures, Latex 2e, some minor improvements
arxiv created 1998/03/17 · openalex publication_date 1998/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 A0 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''.