Post-Newtonian Tests of Gravitational Quantum Field Theory with Spin and Scaling Gauge Symmetry

TL;DR

This paper tests a recently developed gravitational quantum field theory against solar system experiments, deriving bounds on its parameters and confirming its consistency with current observational data.

Contribution

It provides the first post-Newtonian analysis of a gravitational quantum field theory with gauge symmetry, linking theoretical predictions with experimental constraints.

Findings

Derived new bounds on the theory's coupling parameters.

Confirmed compatibility with solar system gravitational experiments.

Validated the theory's predictions at the 1st post-Newtonian order.

Abstract

A self-consistent gravitational quantum field theory, with gravitational force treated on the same footing as the other three fundamental interactions, was established recently. The gravidynamics predicted by such a theory could lead to important implications, and the comparisons with experimental results may provide us opportunities to test such new approach of gravity based on the framework of the quantum field theory of gauge interactions. In this work, we start with the effective field equation of the gravitational quantum field theory, and then solve the perturbative gravigauge field order by order up to the 1st post-Newtonian level under the assumption of a simplified energy-momentum tensor of perfect fluids. Having the constraints on the related post-Newtonian parameters from the most up-to-date observational data, the new bound on the combined coupling in the gravitational quantum field theory $|\gamma_G(\alpha_G-\alpha_W/2)|\leq (2.4\pm30)\times10^{-6} $ is obtained. Under such bound, we found that the new gravitational quantum field theory successfully passed and found no conflict with the contemporary keynote Solar system experiments of gravity.