QUANTIZATION OF A SPINNING PARTICLE WITH ANOMALOUS MAGNETIC-MOMENT

Authors
Citation
Dm. Gitman et Av. Saa, QUANTIZATION OF A SPINNING PARTICLE WITH ANOMALOUS MAGNETIC-MOMENT, Classical and quantum gravity, 10(8), 1993, pp. 1447-1460
Citations number
32
Categorie Soggetti
Physics
ISSN journal
02649381
Volume
10
Issue
8
Year of publication
1993
Pages
1447 - 1460
Database
ISI
SICI code
0264-9381(1993)10:8<1447:QOASPW>2.0.ZU;2-B
Abstract
A generalization of the pseudoclassical action of a spinning particle in the presence of an anomalous magnetic moment is given. The leading considerations, to write the action, are gotten from the path-integral representation for the causal Green function of the generalized (by P auli) Dirac equation for the particle with anomalous magnetic moment i n an external electromagnetic field. The action can be written in repa rametrization and supergauge-invariant form. Both operator (Dirac) and path-integral (BFV) quantization are discussed. The first one leads t o the Dirac-Pauli equation, whereas the second one gives the correspon ding propagator. One of the non-trivial points in this case is that bo th quantization schemes demand, for consistency, that we take into acc ount an operator ordering problem.