On calculation of the off-shell renormalization functions in the R^2 gravity

TL;DR

This paper introduces a novel method for calculating off-shell renormalization functions in R^2 gravity, constructs one-loop renormalization group equations, and analyzes the effective potential for a massless scalar field interacting with quantum gravity.

Contribution

It proposes a new approach to compute off-shell renormalization functions in R^2 gravity and derives the corresponding one-loop renormalization group equations.

Findings

Derived the one-loop renormalization group equations.

Analyzed the behavior of the effective potential for a massless scalar field.

Proposed a new method for off-shell renormalization in R^2 gravity.

Abstract

A new way how to calculate the off-shell renormalization functions within the $R^2$-gravity has been proposed. The one-loop renormalization group equations in the approach suggested have been constructed. The behaviour of effective potential for an massless scalar field interacting with the quantum gravitational field has been analyzed in this approach.