SL(2, R) YANG-MILLS THEORY ON A CIRCLE

DOI10.1142/S0217732394003063zbMath1015.81539arXivhep-th/9407035MaRDI QIDQ2727795

Ingemar Bengtsson, Joakim Hallin

Publication date: 31 July 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/hep-th/9407035

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13)

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