Equações clássicas de Yang Mills com fontes

Abstract

Structured in the Lagrangian formalism, the field theory has extensive applications inside many areas of physics. In this way, when used in concepts associated with Chromodynamics, it is possible to establish motion equations such as those of Yang-Mills. In this work, we analyze the consequences of these ideas in classical field theory with other mathematical expressions, thus, we deduce non-abelian differential equations. The main of this work is verify if the abelian chromo-magnetic monopole (the Schwinger monopole) could be considered as solution of the Yang-Mills non-abelian equations with sources.