Projection operator approach to constrained systems

Govaerts, Jan

Files

Preprint.pdf
  • Open Access
  • Adobe PDF
  • 208.17 KB

Details

Authors
Abstract
(en) Recently, within the context of the phase space coherent state path integral quantisation of constrained systems, John Klauder introduced a reproducing kernel for gauge invariant physical states, which involves a projection operator onto the reduced Hilbert space of physical states, avoids any gauge fixing conditions, and leads to a specific measure for the integration over Lagrange multipliers. Here, it is pointed out that this approach is also devoid of any Gribov problems and always provides for an effectively admissible integration over all gauge orbits of gauge invariant systems. This important aspect of Klauder's proposal is explicitly confirmed by two simple examples. Comment: LateX file, 17 pages. Includes additional references and a correction in Sect.4
Affiliations

Citations

Projection operator approach to constrained systems. (n.d.). https://hdl.handle.net/2078.5/256757