Quantum gravity on the lattice
Quantum gravity on the lattice
复制标题
晶格上的量子引力
DOI：
--
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
H. Hamber
中科院分区：
文献类型：
--
作者：
H. Hamber
我回顾了量子引力的晶格方法，以及它如何与连续介质理论的非平凡紫外不动点场景相关联。在简要介绍了引力和其他不可重整理论中紫外线发散的一般问题之后，我讨论了晶格方法的一般方法和目标。一个潜在的主题是试图建立连续统重整化群结果之间的联系，这主要是基于图摄动理论，和最近的晶格结果，这适用于强引力制度，本质上是非摄动的。本综述的第二个主题是强耦合非阿贝尔规范理论的红外方法与基于重整化群和临界行为普适性的低能量量子引力方法之间始终存在的自然对应关系。在评论的最后，我讨论了路径积分量子引力可能的观测结果，这是由非平凡紫外不动点情景推导出来的。我认为，理论框架自然会导致考虑弱尺度依赖的牛顿常数，其尺度违反参数与观测到的尺度宇宙常数相关（而不是像天真地期望的那样与普朗克长度相关）。
I review the lattice approach to quantum gravity, and how it relates to the non-trivial ultraviolet fixed point scenario of the continuum theory. After a brief introduction covering the general problem of ultraviolet divergences in gravity and other non-renormalizable theories, I discuss the general methods and goals of the lattice approach. An underlying theme is the attempt at establishing connections between the continuum renormalization group results, which are mainly based on diagrammatic perturbation theory, and the recent lattice results, which apply to the strong gravity regime and are inherently non-perturbative. A second theme in this review is the ever-present natural correspondence between infrared methods of strongly coupled non-abelian gauge theories on the one hand, and the low energy approach to quantum gravity based on the renormalization group and universality of critical behavior on the other. Towards the end of the review I discuss possible observational consequences of path integral quantum gravity, as derived from the non-trivial ultraviolet fixed point scenario. I argue that the theoretical framework naturally leads to considering a weakly scale-dependent Newton’s constant, with a scaling violation parameter related to the observed scaled cosmological constant (and not, as naively expected, to the Planck length).