Quantum deformation of the Dirac bracket

Details Quantum deformation of the Dirac bracket Quantum deformation of the Dirac bracket

2005-07-06

arxiv.org/abs/hep-th/0507049v2

Phys.Rev. D73 (2006) 025008

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, REVTeX

Scientific paper

10.1103/PhysRevD.73.025008

The quantum deformation of the Poisson bracket is the Moyal bracket. We construct quantum deformation of the Dirac bracket for systems which admit global symplectic basis for constraint functions. Equivalently, it can be considered as an extension of the Moyal bracket to second-class constraints systems and to gauge-invariant systems which become second class when gauge-fixing conditions are imposed.

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