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General form of color charge of the quark

  • Regular Article - Theoretical Physics
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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 μ=0,1,2,3 are summed. However, in Yang–Mills theory the Yang–Mills color current density j μa(x) of the quark satisfies the equation D μ [A]j μa(x)=0 which is not a continuity equation (∂ μ j μa(x)≠0) which implies that the color charge of the quark is not constant where a=1,2,…,8 are the color indices. Since the charge of a point particle is obtained from the zero (μ=0) 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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Acknowledgements

I thank George Sterman for useful discussions and suggestions.

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    Gouranga C. Nayak

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Nayak, G.C. General form of color charge of the quark. Eur. Phys. J. C 73, 2442 (2013). https://doi.org/10.1140/epjc/s10052-013-2442-6

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  • DOI: https://doi.org/10.1140/epjc/s10052-013-2442-6

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