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.