Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system

2017/03/31 by Yuta Hamada, Masatoshi Yamada
Physics and Astronomy · #Asymptotic safety in quantum gravity #Beta function (physics) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Coupling (piping) #Coupling constant #Derivative (finance) #Fixed point #Noncommutative and Quantum Gravity Theories #Renormalization #Renormalization group #Yukawa potential #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.1007/jhep08(2017)070

published as JHEP (2017) 2017: 70 · Version published in JHEP; 75 pages, 10 figures, typos corrected, references added

openalex created_date 2017/04/07 · openalex publication_date 2017/08/01 · arxiv created 2017/08/19 · arxiv updated 2017/08/22 · openalex updated_date 2026/08/05

Abstract

We study asymptotic safety of models of the higher derivative quantum gravity with and without matter. The beta functions are derived by utilizing the functional renormalization group, and non-trivial fixed points are found. It turns out that all couplings in gravity sector, namely the cosmological constant, the Newton constant, and the R 2 and R 2 coupling constants, are relevant in case of higher derivative pure gravity. For the Higgs-Yukawa model non-minimal coupled with higher derivative gravity, we find a stable fixed point at which the scalar-quartic and the Yukawa coupling constants become relevant. The relevant Yukawa coupling is crucial to realize the finite value of the Yukawa coupling constants in the standard model.

Citations

• Asymptotic safety and the cosmological constant
• The renormalization group and the ε expansion
• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Local Covariant Operator Formalism of Non-Abelian Gauge Theories and Quark Confinement Problem
• Light fermions in quantum gravity
• Quantum gravity at two loops
• Fractal structure of 4D euclidean simplicial manifold
• Exact renormalization group equations: an introductory review
• Fixed Points of Quantum Gravity
• GAUGE DEPENDENCE OF THE EFFECTIVE AVERAGE ACTION IN EINSTEIN GRAVITY
• Fundamentals of the exact renormalization group
• Exact evolution equation for the effective potential
• Scaling structures in four-dimensional simplicial gravity
• Gravitational corrections to Yukawa systems
• Asymptotic safety in higher-derivative gravity
• Asymptotically safe cosmology
• ULTRAVIOLET PROPERTIES OF f(R)-GRAVITY
• Renormalization group flow in scalar-tensor theories: I
• Emergence of a 4D World from Causal Quantum Gravity
• The Standard Model Higgs boson as the inflaton
• Asymptotic freedom of Yang–Mills theory with gravity
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Scaling laws for ising models near Tc
• Renormalization group fixed points of foliated gravity-matter systems