Renormalization of Higher Derivative Quantum Gravity Coupled to a Scalar with Shift Symmetry

Abstract

It has been suggested that higher-derivative gravity theories coupled to a scalar field with shift symmetry may be an important candidate for a quantum gravity. We show that this class of gravity theories are renormalizable in D = 3 and 4 dimensions.

11 pages. arXiv admin note: substantial text overlap with arXiv:1201.2058. v2: minor corrections. v3: minor corrections to match the published version

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Cited by in corpus (7)

• A Stueckelberg Approach to Quadratic Curvature Gravity and its Decoupling Limits
• On the weak-gravity bound for a shift-symmetric scalar field
• Emergent Lorentz Signature, Fermions, and the Standard Model
• Matter scattering in $R_{\mu \nu }^2$ gravity and unitarity
• Singularity at the demise of a black hole
• Emergent Lorentzian dispersion relations from a Euclidean scalar-tensor theory
• Coarse-graining of the Einstein-Hilbert Action rewritten by the Fisher information metric