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arXiv · 2008.12121

Quantum correction of gravitational constant

Yu-Jie Chen·Shi-Lin Li·Yu-Zhu Chen·Wen-Du Li·Wu-Sheng Dai
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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 $H_{3}$ (Euclidean $AdS_{3}$) spacetime, the $H_{3}/Z$ spacetime, the universe model, the de Sitter spacetime, and the Rindler spacetime.

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Yu-Jie Chen, Shi-Lin Li, Yu-Zhu Chen, Wen-Du Li, Wu-Sheng Dai. 2020-08-26. Quantum correction of gravitational constant. https://arxiv.org/abs/2008.12121

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