Projection Operator Approach to Constrained Systems

Details Projection Operator Approach to Constrained Systems Projection Operator Approach to Constrained Systems

1996-06-03

arxiv.org/abs/hep-th/9606007v2

J.Phys.A30:603-617,1997

Physics

High Energy Physics

High Energy Physics - Theory

LateX file, 17 pages. Includes additional references and a correction in Sect.4

Scientific paper

10.1088/0305-4470/30/2/022

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.

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