RG flows of Quantum Einstein Gravity in the linear-geometric approximation

被引：57

作者：

Demmel, Maximilian ^{[1
,2
]}

Saueressig, Frank ^{[3
]}

Zanusso, Omar ^{[4
]}

机构：

[1] Johannes Gutenberg Univ Mainz, PRISMA Cluster Excellence, D-55099 Mainz, Germany

[2] Johannes Gutenberg Univ Mainz, Inst Phys THEP, D-55099 Mainz, Germany

[3] Radboud Univ Nijmegen, Inst Math Astrophys & Particle Phys, NL-6525 AJ Nijmegen, Netherlands

[4] Univ Jena, Inst Theoret Phys, D-07743 Jena, Germany

来源：

ANNALS OF PHYSICS | 2015年 / 359卷

关键词：

Quantum gravity; Asymptotic safety; Functional renormalization group; ASYMPTOTIC SAFETY; BACKGROUND INDEPENDENCE; ULTRAVIOLET PROPERTIES; RENORMALIZATION-GROUP; EVOLUTION EQUATION;

D O I：

10.1016/j.aop.2015.04.018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct a novel Wetterich-type functional renormalization group equation for gravity which encodes the gravitational degrees of freedom in terms of gauge-invariant fluctuation fields. Applying a linear-geometric approximation the structure of the new flow equation is considerably simpler than the standard Quantum Einstein Gravity construction since only transverse-traceless and trace part of the metric fluctuations propagate in loops. The geometric flow reproduces the phase-diagram of the Einstein-Hilbert truncation including the non-Gaussian fixed point essential for Asymptotic Safety. Extending the analysis to the polynomial f (R)-approximation establishes that this fixed point comes with similar properties as the one found in metric Quantum Einstein Gravity; in particular it possesses three UV-relevant directions and is stable with respect to deformations of the regulator functions by endomorphisms. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：141 / 165

页数：25

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