Some Classical Models of Particles and Quantum Gauge Theories

The article contains a review and new results of some mathematical models relevant to the interpretation quantum mechanics emulating well-known gauge theories, such as scalar electrodynamics (Klein–Gordon–Maxwell electrodynamics), spinor (Dirac–Maxwell etc. In these models, evolution is typically described by modified Maxwell equations. case electrodynamics, complex wave function can be made real transformation, algebraically eliminated from equations resulting describe independent electromagnetic field. Similar were obtained for electrodynamics. Three out four components Dirac equation, remaining component transformation. A similar result was equation in Yang–Mills As theories play central role modern physics, approach this may sufficiently general. One-particle functions modeled plasma-like collections large number particles antiparticles. This seems enable simulation phase-space distribution functions, Wigner function, which are not necessarily non-negative.