ANTISYMMETRIC TENSOR FIELD COUPLED TO CHIRAL MATTER AND DYNAMICAL SYMMETRY BREAKING

The minimal coupling of chiral fermions to a second rank antisymmetric tensor field is considered, and an alternative to the standard model is discussed in which the Higgs doublet is replaced by a real scalar and a second rank antisymmetric tensor. The dynamical breaking of electroweak symmetry, via the Nambu-Jona-Lasinio mechanism, is shown to occur due to natural four-Fermi interactions. The mean field theory due to instanton configurations in the antisymmetric tensor field is also presented and possible cosmological applications of this model are discussed.