论文标题
将量子重力作为暗粒子的局部大规模激发
Localized massive excitation of quantum gravity as a dark particle
论文作者
论文摘要
我们构建一个静态的球形激发态，而无奇异性在可重新分布的量子重力中具有无背景性质。它的直径由量子重力的相关长度给出，比普朗克长度长2个数量级，并且在外面有一个schwarzschild尾巴。从物理要求中假定的高阶校正的非扰动表达来描述内部的量子重力动力学，即在强耦合处的边缘消失了。通过将其近似为取决于径向坐标的平均场来管理的是非线性和非局部性表现的运行耦合常数。如果质量是普朗克质量的几倍，我们可以建立一个线性的运动方程系统，以融合了运行效果并获得激发态作为其解决方案。它可能是暗物质的候选者，并将对黑洞物理学有一个新的视角。
We construct a static and spherical excited state without singularities in renormalizable quantum gravity with background-free nature asymptotically. Its diameter is given by a correlation length of the quantum gravity, longer than the Planck length by 2 orders of magnitude, and it has a Schwarzschild tail outside. The quantum gravity dynamics inside is described by employing a nonperturbative expression of higher-order corrections assumed from a physical requirement that the dynamics disappear at the edge where it is in strong coupling. A running coupling constant that is a manifestation of nonlinearity and nonlocality is managed by approximating it as a mean field that depends on the radial coordinate. If the mass is several times the Planck mass, we can set up a system of linearized equations of motion for the gravitational potentials incorporating the running effect and obtain the excited state as its solution. It may be a candidate for dark matter, and will give a new perspective on black hole physics.
