Geometry of the physical phase space in quantum gauge models

Details Geometry of the physical phase space in quantum gauge models Geometry of the physical phase space in quantum gauge models

2000-02-05

arxiv.org/abs/hep-th/0002043v1

Phys.Rept. 326 (2000) 1-163

Physics

High Energy Physics

High Energy Physics - Theory

A review (Phys. Rep.), 170 pages, 9 figures, plain Latex

Scientific paper

10.1016/S0370-1573(99)00085-X

The physical phase space in gauge systems is studied. Effects caused by a non-Euclidean geometry of the physical phase space in quantum gauge models are described in the operator and path integral formalisms. The projection on the Dirac gauge invariant states is used to derive a necessary modification of the Hamiltonian path integral in gauge theories of the Yang-Mills type with fermions that takes into account the non-Euclidean geometry of the physical phase space. The new path integral is applied to resolve the Gribov obstruction. Applications to the Kogut-Susskind lattice gauge theory are given. The basic ideas are illustrated with examples accessible for non-specialists.

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