A $SU(2)$ Generalized Gauge Field Model With Higgs Mechanism

Abstract

By means of the non-commutative differential geometry, we construct an $SU(2)$ generalized gauge field model. It is of $SU(2)\times {\pi }_4(SU(2))$ gauge invariance. We show that this model not only includes the Higgs field automatically on the equal footing with ordinary Yang-Mills gauge potentials but also is stable against quantum correlation.