Higgs Model without Elementary Scalars

Abstract

A model of interaction of massless vector and spinor fields is considered. With the use of Bogolyubov quasi-average method we study a possibility of a dynamical breaking of the initial symmetry. Assuming the existence of effective cut-off $\Lambda$, we show, that there exists a solution, which breaks gauge symmetry of the theory. Instead of Higgs scalars fermion-antifermion tachion bound states are present here. As a result we have a theory with a massive vector field, a massive spinor and a composite scalar.