Abstract

SANCHEZ-MONROY, J.A.  and  QUIMBAY, C.J. Some classical properties of the non-abelian Yang-Mills theories. Rev. mex. fís. E [online]. 2010, vol.56, n.2, pp.172-176. ISSN 1870-3542.

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 : Yang-Mills theory; Maxwell's equations; integral and differential forms; magnetic monopoles.

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