SL(2,R) Yang-Mills theory on a circle
High Energy Physics - Theory
2015-06-26 v1
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9407035,
title = {SL(2,R) Yang-Mills theory on a circle},
author = {I. Bengtsson and J. Hallin},
journal= {arXiv preprint arXiv:hep-th/9407035},
year = {2015}
}
Comments
10 pages, Goteborg ITP 94-19, Contains two files: A latex file with all figures drawn in latex and a tar archive including a slightly modified latex file (uses psfig) and nicer postscript figures+necessary macros