Effective Potential of Scalar-Tensor Gravity

Abstract

Effective potential of a scalar field induced by weak gravity is studied. The set of operators relevant for leading effects and preserving the second order of field equations is found. It is shown that only the mass term and a specific Brans-Dicke-like interaction are relevant within such a setup. The explicit form of the potential is found. The model has room for a natural inflationary scenario similar to the well-known case of the Starobinsky inflation. Possible implications for the Standard Model are highlighted.

Minor corrections. Class. Quantum Grav (2020)

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• Beyond Horndeski interactions induced by quantum effects
• Inflationary solutions in the simplest gravity model with conformal symmetry
• Black Holes in Einstein-scalar-Gauss-Bonnet model probed with scattering amplitudes
• FeynGrav and Recent Progress in Computational Perturbative Quantum Gravity
• Inflation in simple one-loop effective potentials of perturbative quantum gravity