Abstract
The propagator of a spinning particle is expressed by a path integral. The problem has different solutions in even and odd dimensions. In even dimensions the representation is a generalization from one to four dimensions (E. Fradkin, D. Gitman, Phys. Rev. D44 (1991) 3230) and the effective action in the path integral is Berezin-Marinov pseudoclassical action. In odd dimensions the solution is presented for the first time. A new effective action can be extracted from the path integral and it can serve as a pseudoclassical model for spinning particles in odd dimensions.
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© 1997 Springer Science+Business Media New York
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Gitman, D.M. (1997). Path Integrals and Pseudoclassical Description for Spinning Particles. In: DeWitt-Morette, C., Cartier, P., Folacci, A. (eds) Functional Integration. NATO ASI Series, vol 361. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0319-8_24
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DOI: https://doi.org/10.1007/978-1-4899-0319-8_24
Publisher Name: Springer, Boston, MA
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