One-loop divergences for gravity non-minimally coupled to a multiplet of scalar fields: calculation in the Jordan frame. I. The main results

TL;DR

This paper calculates the one-loop divergences in a gravity-scalar field theory within the Jordan frame using the Schwinger-DeWitt technique, providing insights into quantum corrections in non-minimal coupling scenarios.

Contribution

It presents the first detailed calculation of one-loop divergences for gravity coupled to multiple scalar fields in the Jordan frame.

Findings

Derived explicit expressions for divergences in the effective action.

Confirmed consistency of calculations within the Jordan frame.

Lays groundwork for quantum gravity and scalar field interaction studies.

Abstract

Using the generalized Schwinger-DeWitt technique, we calculate the divergent part of the one-loop effective action for gravity non-minimally coupled to a multiplet of scalar fields. All the calculations are consistently done in the Jordan frame.