Star-product Description of Quantization in Second-class Constraint Systems
Mathematical Physics
2014-09-16 v6 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.1108.4108,
title = {Star-product Description of Quantization in Second-class Constraint Systems},
author = {M. Nakamura},
journal= {arXiv preprint arXiv:1108.4108},
year = {2014}
}
Comments
16 pages; 5 references added, some changes; in particular, in sect.2, sect.4, title and Affilication