Composite quarks and leptons as solutions of anomaly constraints

Abstract

We provide models for composite fermions which satisfy the anomaly constraints of 't Hooft. All the decoupling requirements are satisfied as preons acquire a mass. The spectrum of the composite fermions is far richer than the preon's while maintaining asymptotic freedom. The available symmetries contain SU(3) × SU(2) × U(1) and the composite particles include the ordinary quarks and leptons along with additional unobserved (presumably heavy) fermions.