Geometry of the physical phase space in quantum gauge models
High Energy Physics - Theory
2009-10-31 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0002043,
title = {Geometry of the physical phase space in quantum gauge models},
author = {Sergei V. Shabanov},
journal= {arXiv preprint arXiv:hep-th/0002043},
year = {2009}
}
Comments
A review (Phys. Rep.), 170 pages, 9 figures, plain Latex