Quadratic Gravity

被引：131

作者：

Salvio, Alberto ^{[1
]}

机构：

[1] CERN, Dept Theoret Phys, Geneva, Switzerland

来源：

FRONTIERS IN PHYSICS | 2018年 / 6卷

关键词：

renormalization group; gravity; fixed point; relativity; field theory; FREE QUANTUM-THEORY; ASYMPTOTIC FREEDOM; CANONICAL QUANTIZATION; FIXED-POINTS; RENORMALIZATION; STABILITY; INVARIANCE; UNITARITY; MODELS; MATTER;

D O I：

10.3389/fphy.2018.00077

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Adding the terms quadratic in the curvature to the Einstein-Hilbert action renders gravity renormalizable. This property is preserved in the presence of the most general renormalizable couplings with (and of) a generic quantum field theory (QFT). The price to pay is a massive ghost, which is due to the higher derivatives that the terms quadratic in the curvature imply. In this paper, the quadratic gravity scenario is reviewed including the recent progress on the related stability problem of higher derivative theories. The renormalization of the theory is also reviewed and the final form of the full renormalization group equations in the presence of a generic renormalizable QFT is presented. The theory can be extrapolated up to in finite energy through the renormalization group if all matter couplings flow to a fixed point (either trivial or interacting). Moreover, besides reviewing the above-mentioned topics, are some further insight on the ghost issue and the in finite energy extrapolation are provided. There is hope that in the future, this scenario might provide a phenomenologically viable and UV complete relativistic field theory of all interactions.

引用

页数：24

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