Conformal symmetry and the Higgs effect in the Einstein-Weinberg-Salam unified theory

摘要

We consider the unification of the Einstein theory of gravity with a conformal invariant version of the standard model for electroweak interaction without the Higgs potential. In this theory, the evolution of the Universe and the elementary particle masses have one and the same cosmological origin. In the flat space limit, we get the (sigma)-model version of the standard model. The cosmological consequences of such a unification are studied. The red shift formula and Hubble law are obtained under the conventional Friedmann assumption of homogeneous matter distribution. We show that the considered theory leads to a very small vacuum density of the Higgs field (rho)(sup Cosmic)(sub (phi)) = 10(sup -34)(rho)(sub cr) in contrast with the theory with the Higgs potential (rho)(sup Higgs)(sub (phi)) =0(sup 54)(rho)(sub cr). (author). 15 refs.