Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-09-07
J.Phys.A33:4183-4202,2000
Physics
High Energy Physics
High Energy Physics - Theory
22 pages, no figures, plain LaTeX file
Scientific paper
10.1088/0305-4470/33/22/319
The quantisation of gauge invariant systems usually proceeds through some gauge fixing procedure of one type or another. Typically for most cases, such gauge fixings are plagued by Gribov ambiguities, while it is only for an admissible gauge fixing that the correct dynamical description of the system is represented, especially with regards to non perturbative phenomena. However, any gauge fixing procedure whatsoever may be avoided altogether, by using rather a recently proposed new approach based on the projection operator onto physical gauge invariant states only, which is necessarily free on any such issues. These different aspects of gauge invariant systems are explicitely analysed within a solvable U(1) gauge invariant quantum mechanical model related to the dimensional reduction of Yang-Mills theory.
Govaerts Jan
Lucio-Martinez Jose-Luis
Villanueva Victor M.
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