Unification of gauge and gravitation theories

Abstract

A new approach to local Gauge theories is presented. The theory is developed in a curved space–time, and therefore gravitation is not neglected. Besides the Yang–Mills A^α_μ vector bosons associated with a symmetry group, scalar bosons g_αβ appear just as naturally. The Lagrangian describing the interaction of these fields is the Ricci scalar for an extended Riemannian geometry.