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

Sergey V. Shabanov
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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.

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Sergey V. Shabanov. 1993-08-02. Phase space structure and the path integral for gauge theories on a cylinder. https://doi.org/10.1016/0370-2693(93)90135-5

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