Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Path Integrals and Pseudoclassical Description for Spinning Particles in
  Arbitrary Dimensions   The propagator of a spinning particle in external Abelian field and in
arbitrary dimensions is presented by means of a path integral. The problem has
different solutions in even and odd dimensions. In even dimensions the
representation is just a generalization of one in four dimensions (it has been
known before). In this case a gauge invariant part of the effective action in
the path integral has a form of the standard (Berezin-Marinov) pseudoclassical
action. In odd dimensions the solution is presented for the first time and, in
particular, it turns out that the gauge invariant part of the effective action
differs from the standard one. We propose this new action as a candidate to
describe spinning particles in odd dimensions. Studying the hamiltonization of
the pseudoclassical theory with this action, we show that the operator
quantization leads to adequate minimal quantum theory of spinning particles in
odd dimensions. In contrast with the models proposed formerly in this case the
new one admits both the operator and the path integral quantization. Finally
the consideration is generalized for the case of the particle with anomalous
magnetic moment.

24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an