Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-08-02
Phys.Lett. B318 (1993) 323-330
Physics
High Energy Physics
High Energy Physics - Theory
Saclay-T93/078
Scientific paper
10.1016/0370-2693(93)90135-5
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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