https://doi.org/10.1140/epjc/s10052-016-4520-z
Regular Article - Theoretical Physics
The standard model coupled to quantum gravitodynamics
No 20 Jalan Pendas 4, 81560, Gelang Patah, Johor, Malaysia
* e-mail: fermin_aldabe@yahoo.com
Received:
17
March
2016
Accepted:
7
November
2016
Published online:
29
December
2016
We show that the renormalizable 
Yang–Mills coupled to matter and the Higgs field fits all the experimentally observed differential cross sections known in nature. This extended Standard Model reproduces the experimental gravitational differential cross sections without resorting to the graviton field and instead by exchanging 
gauge fields. By construction, each SO(4) generator in quantum gravitodynamics does not commute with the Dirac gamma matrices. This produces additional interactions absent to non-Abelian gauge fields in the Standard Model. The contributions from these new terms yield differential cross sections consistent with the Newtonian and post-Newtonian interactions derived from General Relativity. Dimensional analysis of the Lagrangian shows that all its terms have total dimensionality four or less and therefore that all physical quantities in the theory renormalize by finite amounts. These properties make QGD the only renormalizable four-dimensional theory describing gravitational interactions.
© The Author(s), 2016
