Star-product Description of Quantization in Second-class Constraint Systems
arXiv:1108.4108
Abstract
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.
16 pages; 5 references added, some changes; in particular, in sect.2, sect.4, title and Affilication