General form of color charge of the quark

Abstract

In Maxwell theory the constant electric charge e of the electron is consistent with the continuity equation ∂ µ j µ (x) = 0 where j µ (x) is the current density of the electron where the repeated indices component of a corresponding current density by integrating over the entire (physically) allowed volume, the color charge q a (t) of the quark in Yang-Mills theory is time dependent. In this paper we derive the general form of eight time dependent fundamental color charges q a (t) of the quark in Yang-Mills theory in SU(3) where a = 1, 2, ..., 8.

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