SL(2,R) Yang-Mills theory on a circle

Details SL(2,R) Yang-Mills theory on a circle SL(2,R) Yang-Mills theory on a circle

1994-07-06

arxiv.org/abs/hep-th/9407035v1

Mod.Phys.Lett. A9 (1994) 3245-3254

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Goteborg ITP 94-19, Contains two files: A latex file with all figures drawn in latex and a tar archive including a s

Scientific paper

The kinematics of SL(2,R) Yang-Mills theory on a circle is considered, for reasons that are spelled out. The gauge transformations exhibit hyperbolic fixed points, and this results in a physical configuration space with a non-Hausdorff "network" topology. The ambiguity encountered in canonical quantization is then much more pronounced than in the compact case, and can not be resolved through the kind of appeal made to group theory in that case.

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