PATH-INTEGRALS AND PSEUDOCLASSICAL DESCRIPTION FOR SPINNING PARTICLESIN ARBITRARY DIMENSIONS

Authors
Citation
Dm. Gitman, PATH-INTEGRALS AND PSEUDOCLASSICAL DESCRIPTION FOR SPINNING PARTICLESIN ARBITRARY DIMENSIONS, Nuclear physics. B, 488(1-2), 1997, pp. 490-512
Citations number
74
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
488
Issue
1-2
Year of publication
1997
Pages
490 - 512
Database
ISI
SICI code
0550-3213(1997)488:1-2<490:PAPDFS>2.0.ZU;2-U
Abstract
The propagator of a spinning particle in an external Abelian field and in arbitrary dimensions is presented by means of a path integral. The problem has distinct solutions in even and odd dimensions. In even di mensions the representation is just a generalization of the one in fou r dimensions (which is already known), In this case the gauge invarian t part of the effective action in the path integral has the form of th e standard (Berezin-Marinov) pseudoclassical action, In odd dimensions the solution is presented for the first time and, in particular, it t urns out that the gauge invariant part of the effective action differs from the standard one, We propose this new action as a candidate to d escribe spinning particles in odd dimensions, Studying the Hamiltoniza tion of the pseudoclassical theory with the new action we show that th e operator quantization leads to an adequate minimal quantum theory of spinning particles in odd dimensions, Finally the consideration is ge neralized for the case of a particle with an anomalous magnetic moment .