A Generalized Yang-Mills Model and Dynamical Breaking of Gauge Symmetry

A generalized Yang-Mills model, which contains, besides the vector partV_μ, also a scalar part S, is constructed and the dynamical breaking of gauge symmetry in the model is also discussed. It is shown, in terms of Nambu-Jona-Lasinio (NJL) mechanism, that the gauge symmetry breaking can be realizeddynamically in the generalized Yang-Mills model. The combination of thegeneralized Yang-Mills model and the NJL mechanism provides a way to overcomethe difficulties related to the Higgs field and the Higgs mechanism in theusual spontaneous symmetry breaking theory.