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.
Keywords
Cite
@article{arxiv.1102.2253,
title = {Quantum Yang-Mills gravity in flat space-time and effective curved space-time for motions of classical objects},
author = {Jong-Ping Hsu},
journal= {arXiv preprint arXiv:1102.2253},
year = {2011}
}
Comments
20 pages, to be published in "The European Physical Journal - Plus"(2011). The final publication is available at http://www.epj.org