Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-04-03
Int.J.Mod.Phys.A10:1529-1552,1995
Physics
High Energy Physics
High Energy Physics - Theory
25 pages
Scientific paper
10.1142/S0217751X95000735
A new model of relativistic massive particle with arbitrary spin (($m,s$)-particle) is suggested. Configuration space of the model is a product of Minkowski space and two-dimensional sphere, ${\cal M}^6 = {\Bbb R}^{3,1} \times S^2$. The system describes Zitterbevegung at the classical level. Together with explicitly realized Poincar\'e symmetry, the action functional turns out to be invariant under two types of gauge transformations having their origin in the presence of two Abelian first-class constraints in the Hamilton formalism. These constraints correspond to strong conservation for the phase-space counterparts of the Casimir operators of the Poincar\'e group. Canonical quantization of the model leads to equations on the wave functions which prove to be equivalent to the relativistic wave equations for the massive spin-$s$ field.
Kuzenko Sergei M.
Lyakhovich Simon L.
Segal Arkady Yu.
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