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Moyal dynamics of constraint systems

M. I. Krivoruchenko
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Abstract

Quantization of constraint systems within the Weyl-Wigner-Groenewold-Moyal framework is discussed. Constraint dynamics of classical and quantum systems is reformulated using the skew-gradient projection formalism. The quantum deformation of the Dirac bracket is generalized to match smoothly the classical Dirac bracket in and outside of the constraint submanifold in the limit $\hbar \to 0$.

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M. I. Krivoruchenko. 2006-10-06. Moyal dynamics of constraint systems. https://arxiv.org/abs/hep-th/0610074

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