Quantum correction of gravitational constant
Abstract
We suggest a scheme for considering the quantum correction of the gravitational constant. In the model, the gravitational constant originates from a coupling of the gravitational field with a scalar field. In this paper, we show that if the scalar field, as it should be in the real physical world, is a quantum field, then the gravitational constant will have a spacetime-dependent quantum correction, so that the quantum corrected physical constant is no longer a constant. The quantum correction of the gravitational constant is different in different spacetime. We calculate the quantum correction in the Schwarzschild spacetime, the (Euclidean ) spacetime, the spacetime, the universe model, the de Sitter spacetime, and the Rindler spacetime.
Cite
@article{arxiv.2008.12121,
title = {Quantum correction of gravitational constant},
author = {Yu-Jie Chen and Shi-Lin Li and Yu-Zhu Chen and Wen-Du Li and Wu-Sheng Dai},
journal= {arXiv preprint arXiv:2008.12121},
year = {2021}
}