AI 中文总结
该研究基于函数重整化群探究有效引力常数的标度依赖性，明确其定性与电磁相互作用无关、定量由两个待确定参数决定，且受现有观测结果严格约束。
AI 中文摘要
广义相对论或许并非引力的终极理论，寻找广义相对论之外引力理论的一种可行途径是考虑可变的引力常数。基于量子场论，引力常数作为引力相互作用的耦合常数，可能会随能量标度发生变化，这种引力常数的标度依赖行为可通过函数重整化群（functional renormalization group）得到很好的描述。在当前研究中，我们系统地探究了该行为：首先发现该行为在定性上与是否包含电磁相互作用等相互作用无关，但定量上由两个待确定的参数决定；通常可通过引力常数的标度依赖性引入一个极限标度，若假设所有物理标度均可行，则这两个参数被限制在某些特殊区域；此外，我们将该标度依赖行为与现有观测结果进行比较，发现观测结果对这两个参数施加了严格约束。
英文摘要
The general relativity may not be the final theory of gravity. One possible way to look for the gravity theory beyond general relativity is considering variable gravitational constant. Based on the quantum field theory, the gravitational constant as the coupling constant of gravity interaction may change along with the energy scale. Such scale dependent behavior of the gravitational constant can be well described by the functional renormalization group. In the current work, we investigate such behavior systematically. Firstly we find that such behavior is qualitatively independent of interactions such as the electromagnetic interaction included or not. But quantitatively the behavior is governed by two to-be-determined parameters. In general a limit scale may be introduced by the scale dependence of the gravitational constant. If we assume all physical scales are feasible, the two parameters are limited in some special regions. And more we compare the scale dependence behavior to the existing observations. We find the observation results constraint the two parameters strictly.
Comments9 pages, 9 figures
