https://doi.org/10.1140/epjp/i2011-11024-x
Regular Article
Quantum Yang-Mills gravity in flat space-time and effective curved space-time for motions of classical objects
Physics Department, University of Massachusetts Dartmouth, North Dartmouth, 02747-2300, MA, USA
Received:
4
November
2010
Accepted:
3
February
2011
Published online:
17
March
2011
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.
© Società Italiana di Fisica and Springer, 2011
