Aspects of asymptotic safety for quantum gravity

被引：82

作者：

Falls, Kevin G. ^{[1
,2
]}

Litim, Daniel F. ^{[3
]}

Schroder, Jan ^{[3
]}

机构：

[1] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[2] INFN, Sez Trieste, Via Valerio 2, I-34127 Trieste, Italy

[3] Univ Sussex, Dept Phys & Astron, Brighton BN1 9QH, E Sussex, England

来源：

PHYSICAL REVIEW D | 2019年 / 99卷 / 12期

基金：

美国国家科学基金会;

关键词：

FIXED-POINTS; ULTRAVIOLET PROPERTIES; RENORMALIZATION-GROUP; EVOLUTION EQUATION; INDEPENDENCE; MODELS; FLOW;

D O I：

10.1103/PhysRevD.99.126015

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We study fixed points of quantum gravity with renormalization group methods and a procedure to remove convergence-limiting poles from the flow. The setup is tested within the f (R) approximation for gravity by solving exact recursive relations up to order R-70 in the Ricci scalar, combined with resummations and numerical integration. Results include fixed points, scaling exponents, the gap in the eigenvalue spectrum, the dimensionality of the UV-critical surface, fingerprints for weak coupling, and the quantum equations of motion. Our findings strengthen the view that "most of quantum gravity" is rather weakly coupled. Another novelty are a pair of de Sitter solutions for quantum cosmology, whose occurrence is traced back to the removal of poles. We also address slight disparities of results in the literature and give bounds on the number of fundamentally free parameters of quantum gravity.

引用

页数：18

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