Relativistic diffusion of elementary particles with spin
High Energy Physics - Theory
2015-05-13 v2 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0907.0364,
title = {Relativistic diffusion of elementary particles with spin},
author = {Z. Haba},
journal= {arXiv preprint arXiv:0907.0364},
year = {2015}
}
Comments
21 pages,minor changes,the version published in Journ.Phys.A