Post-newtonian tests of gravitational quantum field theory with spin and scaling gauge symmetry

Ying-Jian Chen; Peng Xu; Yue-Liang Wu

doi:10.1140/epjc/s10052-025-13993-6

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 228
https://doi.org/10.1140/epjc/s10052-025-13993-6

Regular Article - Theoretical Physics

Post-newtonian tests of gravitational quantum field theory with spin and scaling gauge symmetry

Ying-Jian Chen¹^,2^,3, Peng Xu²^,3^,4^,5^a and Yue-Liang Wu¹^,2^,3^,4^,6

¹ University of Chinese Academy of Sciences (UCAS), International Centre for Theoretical Physics Asia-Pacific (ICTP-AP), 100190, Beijing, China
² Taiji Laboratory for Gravitational Wave Universe (Beijing/Hangzhou), UCAS, 100049, Beijing, China
³ Center for Gravitational Wave Experiment, National Microgravity Laboratory, Institute of Mechanics, Chinese Academy of Sciences, 100190, Beijing, China
⁴ School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, 310024, Hangzhou, China
⁵ Lanzhou Center of Theoretical Physics, Lanzhou University, 730000, Lanzhou, China
⁶ CAS key laboratory of theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, 100190, Beijing, China

^a xupeng@imech.ac.cn

Received: 27 August 2024
Accepted: 24 February 2025
Published online: 5 March 2025

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 $| γ_{G} (α_{G} - α_{W} / 2) | \leq (2.4 \pm 30) \times 10^{- 6}$ $|\gamma _G(\alpha _G-\alpha _W/2)|\le (2.4\pm 30)\times 10^{-6}$ 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.

© The Author(s) 2025

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