Ultraviolet fixed points in conformal gravity and general quadratic theories

DOI10.1088/0264-9381/33/3/035001zbMath1332.83092arXiv1506.05526OpenAlexW2228431569MaRDI QIDQ2787568

Nobuyoshi Ohta, Roberto Percacci

Publication date: 4 March 2016

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.05526

zbMATH Keywords

fixed pointfunctional renormalization groupasymptotic safetyconformal gravityquadratic gravity

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Quantization of the gravitational field (83C45) Applications of differential geometry to physics (53Z05) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)

Related Items (11)

General procedure of gauge fixings and ghosts ⋮ Towards the determination of the dimension of the critical surface in asymptotically safe gravity ⋮ Gauges and functional measures in quantum gravity. I: Einstein theory ⋮ Infinite order quantum-gravitational correlations ⋮ Scaling solutions for asymptotically free quantum gravity ⋮ The nonperturbative functional renormalization group and its applications ⋮ AdS backgrounds and induced gravity ⋮ Lorentz symmetry is relevant ⋮ Scalar-tensor theories within asymptotic safety ⋮ A link that matters: towards phenomenological tests of unimodular asymptotic safety ⋮ Asymptotic freedom and safety in quantum gravity

Cites Work

• Scaling exponents in quantum gravity near two dimensions
• Gravitational fixed points and asymptotic safety from perturbation theory
• Investigating the ultraviolet properties of gravity with a Wilsonian renormalization group equation
• Symbolic computation of DeWitt-Seeley-Gilkey coefficients on curved manifolds
• Taming perturbative divergences in asymptotically safe gravity
• Is quantum Einstein gravity nonperturbatively renormalizable?
• Aspects of quadratic gravity
• Fixed Points of Higher-Derivative Gravity
• A complete classification of higher derivative gravity in 3D and criticality in 4D
• ASYMPTOTIC SAFETY IN HIGHER-DERIVATIVE GRAVITY
• Higher derivative gravity and asymptotic safety in diverse dimensions
• Estimation of Parameters in Compound Weibull Distributions
• Renormalizable asymptotically free quantum theory of gravity

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