English

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

High Energy Physics - Phenomenology 2011-03-28 v2

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.

Keywords

Cite

@article{arxiv.hep-ph/0702173,
  title  = {Some classical properties of the non-abelian Yang-Mills theories},
  author = {J. A. Sanchez-Monroy and C. Quimbay},
  journal= {arXiv preprint arXiv:hep-ph/0702173},
  year   = {2011}
}

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12 pages