Some classical properties of the non-abelian Yang-Mills theories

J. A. Sanchez-Monroy; C. Quimbay

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arXiv · hep-ph/0702173

Some classical properties of the non-abelian Yang-Mills theories

J. A. Sanchez-Monroy·C. Quimbay

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Abstract

We present some classical properties for non-abelian Yang-Mills theories that we extract directly from the Maxwell's equations of the theory. We write the equations of motion for the SU(3) Yang-Mills theory using the language of Maxwell's equations in both differential and integral forms. We show that vectorial gauge fields in this theory are non-fermionic sources for non-abelian electric and magnetic fields. These vectorial gauge fields are also responsible for the existence of magnetic monopoles. We build the continuity equation and the energy-momentum tensor for the non-abelian case.

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J. A. Sanchez-Monroy, C. Quimbay. 2010-12-30. Some classical properties of the non-abelian Yang-Mills theories. https://arxiv.org/abs/hep-ph/0702173

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