Spinning Particles on Spacelike Hypersurfaces and their Rest-Frame Description

Abstract

A new spinning particle with a definite sign of the energy is defined on spacelike hypersurfaces after a critical discussion of the standard spinning particles. They are the pseudoclassical basis of the positive energy $(\frac{1}{2},0)$ [or negative energy $(0,\frac{1}{2})$] parts of the $(\frac{1}{2},\frac{1}{2})$ solutions of the Dirac equation. The study of the isolated system of N such spinning charged particles plus the electromagnetic field leads to their description in the rest-frame Wigner-covariant instant form of dynamics on the Wigner hyperplanes orthogonal to the total 4-momentum of the isolated system (when it is timelike). We find that on such hyperplanes these spinning particles have a nonminimal coupling only of the type "spin-magnetic field" like the nonrelativistic Pauli particles to which they tend in the nonrelativistic limit. The Lienard-Wiechert potentials associated with these charged spinning particles are found. Then, a comment on how to quantize the spinning particles respecting their fibered structure describing the spin structure is done.

70 pages, revtex

References in corpus (2)

• A canonical realization of the BMS algebra
• Dirac Fields on Spacelike Hypersurfaces, Their Rest-Frame Description and Dirac Observables

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