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Star-product Description of Quantization in Second-class Constraint Systems

The quantization of the second-class constraint systems is discussed within the projection operator method(POM) of constraint systems. Through the nonlocal representation of the constraint hyper-operators, new star-products are defined. Then, the projected operator-algebra of the quantized constraint systems is constructed with these star-products, and it is shown that the commutators and symmetrized products among the projected operators contain the quantum corrections due to the noncommutativity among operators.

preprint2014arXivOpen access
M. Nakamura
math-phmath.MPhep-th
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M. Nakamura

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