  A few years ago H. Morales and the author introduced a type of generalized
derivative that contained both vector and scalar boson fields. Here it is shown
how to construct a full-fledged generalized Yang-Mills theory through the
introduction of "extended field" multiplets. These are mixed fields that
include both a vector and a scalar part. It is shown how the standard model of
high energy physics appears naturally in a Yang-Mills theory that uses extended
field multiplets through two spontaneous symmetry breakings, one due to the VEV
of a scalar field and another to the VEV of a vector field.
