Quantum Yang-Mills gravity in flat space-time and effective curved space-time for motions of classical objects

Abstract

Yang-Mills gravity with translational gauge group T(4) in flat space-time implies a simple self-coupling of gravitons and a truly conserved energy-momentum tensor. Its consistency with experiments crucially depends on an interesting property that an `effective Riemannian metric tensor' emerges in and only in the geometric-optics limit of the photon and particle wave equations. We obtain Feynman rules for a coupled graviton-fermion system, including a general graviton propagator with two gauge parameters and the interaction of ghost particles. The equation of motion of macroscopic objects, as an N-body system, is demonstrated as the geometric-optics limit of the fermion wave equation. We discuss a relativistic Hamilton-Jacobi equation with an `effective Riemann metric tensor' for the classical particles.

20 pages, to be published in "The European Physical Journal - Plus"(2011). The final publication is available at http://www.epj.org

References in corpus (4)

• A massive binary black-hole system in OJ287 and a test of general relativity
• Gravitational Lorentz Force and the Description of the Gravitational Interaction
• Yang-Mills Gravity in Flat Space-Time, I. Classical Gravity with Translation Gauge Symmetry
• Yang-Mills Gravity in Flat Space-time, II. Gravitational Radiations and Lee-Yang Force for Accelerated Cosmic Expansion

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