Status of the Asymptotic Safety Paradigm for Quantum Gravity and Matter

被引：71
作者：
Eichhorn, Astrid [1 ]
机构：
[1] Heidelberg Univ, Inst Theoret Phys, Philosophenweg 16, D-69120 Heidelberg, Germany
来源：
FOUNDATIONS OF PHYSICS | 2018年 / 48卷 / 10期
关键词：
Quantum gravity; Asymptotic safety; Standard model; LANDAU POLE PROBLEM; HIGGS-BOSON MASS; RENORMALIZATION-GROUP; EVOLUTION EQUATION; GAUGE-THEORIES; FLOW EQUATION; FIXED-POINTS; UPPER-BOUNDS; BLACK-HOLE; TRIVIALITY;
D O I：
10.1007/s10701-018-0196-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the asymptotic safety paradigm, a quantum field theory reaches a regime with quantum scale invariance in the ultraviolet, which is described by an interacting fixed point of the Renormalization Group. Compelling hints for the viability of asymptotic safety in quantum gravity exist, mainly obtained from applications of the functional Renormalization Group. The impact of asymptotically safe quantum fluctuations of gravity at and beyond the Planck scale could at the same time induce an ultraviolet completion for the Standard Model of particle physics with high predictive power.
引用
收藏
页码：1407 / 1429
页数：23
相关论文
共 144 条
[1]   Running couplings and operator mixing in the gravitational corrections to coupling constants [J].
Anber, Mohamed M. ;
Donoghue, John F. ;
El-Houssieny, Mohamed .
PHYSICAL REVIEW D, 2011, 83 (12)
[2]  
[Anonymous], JHEP
[3]  
[Anonymous], 1980, GEN RELATIVITY EINST
[4]   GAUGE-INVARIANCE IN QUANTUM-GRAVITY [J].
ANTONIADIS, I ;
ILIOPOULOS, J ;
TOMARAS, TN .
NUCLEAR PHYSICS B, 1986, 267 (02) :497-508
[5]   Dynamics with infinitely many derivatives: the initial value problem [J].
Barnaby, Neil ;
Kamran, Niky .
JOURNAL OF HIGH ENERGY PHYSICS, 2008, (02)
[6]   En route to Background Independence: Broken split-symmetry, and how to restore it with bi-metric average actions [J].
Becker, D. ;
Reuter, M. .
ANNALS OF PHYSICS, 2014, 350 :225-301
[7]   MASS OF THE HIGGS BOSON IN THE CANONICAL REALIZATION OF THE SALAM-WEINBERG THEORY [J].
BEG, MAB ;
PANAGIOTAKOPOULOS, C ;
SIRLIN, A .
PHYSICAL REVIEW LETTERS, 1984, 52 (11) :883-886
[8]   Essential nature of Newton's constant in unimodular gravity [J].
Benedetti, Dario .
GENERAL RELATIVITY AND GRAVITATION, 2016, 48 (05)
[9]   Taming perturbative divergences in asymptotically safe gravity [J].
Benedetti, Dario ;
Machado, Pedro F. ;
Saueressig, Frank .
NUCLEAR PHYSICS B, 2010, 824 (1-2) :168-191
[10]   ASYMPTOTIC SAFETY IN HIGHER-DERIVATIVE GRAVITY [J].
Benedetti, Dario ;
Machado, Pedro F. ;
Saueressig, Frank .
MODERN PHYSICS LETTERS A, 2009, 24 (28) :2233-2241
12345678910