Quantisation and Gauge Invariance
Abstract
Description
Recent developments concerning canonical quantisation and gauge invariant quantum mechanical systems and quantum field theories are briefly discussed. On the one hand, it is shown how diffeomorphic covariant representations of the Heisenberg algebra over curved manifolds of non trivial topology involve topology classes of flat U(1) bundles. On the other hand, through some examples, the recently proposed physical projector approach to the quantisation of general gauge invariant systems is shown to avoid the necessity of any gauge fixing - hence also avoiding the possibility of Gribov problems which usually ensue any gauge fixing procedure - and is also capable to provide the adequate description of the physical content of gauge invariant systems.
12 pages, no figures, plain LaTeX file. Contribution to the First International Workshop on Contemporary Problems in Mathematical Physics, October 31st - November 5th, 1999, Cotonou (Republic of Benin)
12 pages, no figures, plain LaTeX file. Contribution to the First International Workshop on Contemporary Problems in Mathematical Physics, October 31st - November 5th, 1999, Cotonou (Republic of Benin)