Towards the determination of the dimension of the critical surface in asymptotically safe gravity

DOI10.1016/j.physletb.2020.135773zbMath1475.83112arXiv2004.04126OpenAlexW3015580634MaRDI QIDQ823085

Roberto Percacci, Kevin Falls, Nobuyoshi Ohta

Publication date: 24 September 2021

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04126

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Quantization of the gravitational field (83C45) Renormalization group methods applied to problems in quantum field theory (81T17) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30)

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Cites Work

• Agravity
• The universal RG machine
• The c and a-theorems and the local renormalisation group
• Gravitational fixed points and asymptotic safety from perturbation theory
• Benign vs. malicious ghosts in higher-derivative theories
• Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
• Quantum gravity, fakeons and microcausality
• Naturalness and dimensional transmutation in classically scale-invariant gravity
• Taming perturbative divergences in asymptotically safe gravity
• On renormalization group flows in four dimensions
• Solution to the ghost problem in fourth order derivative theories
• Ultraviolet fixed points in conformal gravity and general quadratic theories
• Aspects of quadratic gravity
• An Introduction to Covariant Quantum Gravity and Asymptotic Safety
• Fixed Points of Higher-Derivative Gravity
• Renormalizable asymptotically free quantum theory of gravity