Phase space structure and the path integral for gauge theories on a cylinder

1993/08/02 by Sergey V. Shabanov · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/0370-2693(93)90135-5

published as Phys.Lett. B318 (1993) 323-330 · Saclay-T93/078

arxiv created 1993/08/02 · openalex publication_date 1993/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The physical phase space of gauge field theories on a cylindrical spacetime with an arbitrary compact simple gauge group is shown to be the quotient \bf R^2r/W_A, r a rank of the gauge group, W_A the affine Weyl group. The PI formula resulting from Dirac's operator method contains a symmetrization with respect to W_A rather than the integration domain reduction. It gives a natural solution to Gribov's problem. Some features of fermion quantum dynamics caused by the nontrivial phase space geometry are briefly discussed.

Citations

• Quantization of non-Abelian gauge theories
• Some remarks on the Gribov ambiguity

Cited by

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• The configuration space of low-dimensional Yang-Mills theories
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