Colored, Spinning Classical Particle in an External Non-Abelian Gauge Field

摘要

Classical non-relativistic equations of motion are derived for a colored, spinning point-like particle in an external SU(2) gauge field from Dirac equation. It is found that in addition to the classical spin and color spin vectors, S, I, it is necessary to introduce a new classical dynamical variable (Jsup(ab)), a,b = 1,2,3, describing a mixing of the spin and color. The constraint relations between (Jsup(ab)), S, I are also found. (Atomindex citation 13:698005)