Unitary and Renormalizable Theory of Higher Derivative Gravity

Abstract

In 3+1 space-time dimensions, fourth order derivative gravity is perturbatively renormalizable. Here it is shown that it describes a unitary theory of gravitons (with/without an additional scalar) in a limited coupling parameter space which includes standard cosmology. The running of gravitational constant which includes contribution of graviton is computed. It is shown that generically Newton's constant vanishes at short distance in this perturbatively renormalizable and unitary theory.

4 pages. To appear in JPCS-IOP. Proceedings of the conference COSGRAV12, held at Indian Statistical Institute, Kolkata

Cited by in corpus (21)

• Unitarity, stability and loops of unstable ghosts
• On the quantum field theory of the gravitational interactions
• A QCD analogy for quantum gravity
• Do we have unitary and (super)renormalizable Quantum Gravity below Planck scale?
• Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system
• Super-renormalizable or finite completion of the Starobinsky theory
• The Ostrogradsky instability can be overcome by quantum physics
• Quantum massive conformal gravity
• Running Couplings in Quantum Theory of Gravity Coupled with Gauge Fields
• On Gauss-bonnet gravity and boundary conditions in Lorentzian path-integral quantization
• Charge Renormalization due to Graviton Loops
• Exorcising Ghosts in Induced Gravity
• Surprises in Lorentzian path-integral of Gauss-Bonnet gravity
• Ultraviolet complete dark energy model
• On the Renormalization Group perspective of $\alpha$-attractors
• Non-locality and late-time cosmic acceleration from an ultraviolet complete theory
• Cosmic evolution in novel-Gauss Bonnet Gravity
• AdS backgrounds and induced gravity
• Lorentzian quantum cosmology in novel Gauss-Bonnet gravity from Picard-Lefschetz methods
• Removing Ostrogradski's ghost from cosmological perturbations in $f(R,R_{\mu \nu }^2,C_{\mu \nu \rho \sigma }^2)$ gravity
• Lorentzian quantum cosmology with $R^2$ correction