Year: 1997
Type: article
Abstract: Recently, having reconsidered the reproducing kernel for gauge-invariant states which involves the projection operator onto the reduced Hilbert space of physical states, John Klauder has shown how the phase space coherent state path integral quantization of constrained systems avoids any gauge-fixing conditions, and leads to a specific measure for the integration over Lagrange multipliers. Here, it is pointed out that independently of the coherent state formulation, 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 reappraisal of the physical reproducing kernel is explicitly confirmed by two simple examples.
Author: Jan Govaerts
Institutions: UCLouvain, KU Leuven
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2018165628