Ricci flow in general relativity: dynamics of gluon fields on an arbitrary curved background from unified spinor fields

Abstract

Wedescribe the gluon field dynamics from Unified Spinor Fields, taking into account the quantum self-interactions which come from a Ricci flow in a varied Einstein-Hilbert action. A new action to describe the Yang-Mills fields is introduced and it is obtained the nonlinear equation of motion on a curved background Riemann manifold, with self-interactions included, for the gluon field components.