Higher Derivative Gravity from the Universal Renormalization Group Machine

Abstract

We study the renormalization group flow of higher derivative gravity, utilizing the functional renormalization group equation for the average action. Employing a recently proposed algorithm, termed the universal renormalization group machine, for solving the flow equation, all the universal features of the one-loop beta-functions are recovered. While the universal part of the beta-functions admits two fixed points, we explicitly show that the existence of one of them depends on the choice of regularization scheme, indicating that it is most probably unphysical.

7 pages, published version

References in corpus (4)

• Fixed Points of Higher Derivative Gravity
• Ultraviolet properties of f(R)-Gravity
• Taming perturbative divergences in asymptotically safe gravity
• A short introduction to asymptotic safety

Cited by in corpus (21)

• The Gravitational Two-Loop Counterterm is Asymptotically Safe
• Renormalization group fixed points of foliated gravity-matter systems
• Black holes within Asymptotic Safety
• Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
• From renormalization group flows to cosmology
• Towards the determination of the dimension of the critical surface in asymptotically safe gravity
• Fixed-Functionals of three-dimensional Quantum Einstein Gravity
• Asymptotic Safety, Fractals, and Cosmology
• Cosmological bounds on the field content of asymptotically safe gravity-matter models
• Ultraviolet Fixed Points in Conformal Gravity and General Quadratic Theories
• Renormalization group flow of Hořava-Lifshitz gravity at low energies
• Infinite order quantum-gravitational correlations
• Asymptotic Safety: Swampland or Wonderland?
• Scalar-Tensor theories within Asymptotic Safety
• Fixed Points of Quantum Gravity and the Dimensionality of the UV Critical Surface
• Off-diagonal heat-kernel expansion and its application to fields with differential constraints
• $f(R,R_{\mu \nu }^2)$ at one loop
• Standard Model and Graviweak Unification with (Super)Renormalizable Gravity. Part I: Visible and Invisible Sectors of the Universe
• The search for the universality class of metric quantum gravity
• RG flows of Quantum Einstein Gravity in the linear-geometric approximation
• Lorentzian quantum cosmology with $R^2$ correction