Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-07-02
Journ.Phys.A42,445401(2009)
Physics
High Energy Physics
High Energy Physics - Theory
21 pages,minor changes,the version published in Journ.Phys.A
Scientific paper
We obtain a generalization of the relativistic diffusion of Schay and Dudley for particles with spin. The diffusion equation is a classical version of an equation for the Wigner function of an elementary particle. The elementary particle is described by a unitary irreducible representation of the Poincare group realized in the Hilbert space of wave functions in the momentum space. The arbitrariness of the Wigner rotation appears as a gauge freedom of the diffusion equation. The spin is described as a connection of a fiber bundle over the momentum hyperbolic space (the mass-shell). Motion in an electromagnetic field, transport equations and equilibrium states are discussed.
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