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arxiv: hep-ph/0702173 · v2 · pith:5IBP6CJ6new · submitted 2007-02-16 · ✦ hep-ph

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

classification ✦ hep-ph
keywords non-abelianequationsfieldstheoryyang-millsclassicalgaugemagnetic
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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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