Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-10-27
Physics
High Energy Physics
High Energy Physics - Theory
Talk given at XIV International Workshop QFTHEP'99, Moscow, Russia, May 27-June 2, 1999; 7 pages, LaTeX
Scientific paper
The most general 2+1 dimensional spinning particle model is considered. The action functional may involve all the possible first order Poincare invariants of world lines, and the particular class of actions is specified thus the corresponding gauge algebra to be unbroken by inhomogeneous external fields. Nevertheless, the consistency problem reveals itself as a requirement of the global compatibility between first and second class constraints. These compatibility conditions, being unnoticed before in realistic second class theories, can be satisfied for a particle iff the gyromagnetic ratio takes the critical value g=2. The quantization procedure is suggested for a particle in the generic background field by making use of a Darboux co-ordinates, being found by a perturbative expansion in the field multipoles and the general procedure is described for constructing of the respective transformation in any order.
Alkalaev K. B.
Lyakhovich Simon L.
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