Simple Model for Vector Bosons

Abstract

Using the analogy between the SL(2,C) gauge theory of gravitation and the Yang-Mills theory, we propose a model for massive vector bosons. The model is based on the Geroch-Held-Penrose treatment of gravitation in which a reduction from SL(2,C) to an Abelian subgroup of it is made. It is shown that the proposed model is unitary at the two-loop level