Renormalization of Higher Derivative Quantum Gravity Coupled to a Scalar with Shift Symmetry

TL;DR

This paper demonstrates that higher-derivative gravity theories coupled with a shift-symmetric scalar field are renormalizable in three and four dimensions, supporting their viability as quantum gravity candidates.

Contribution

It establishes the renormalizability of a class of higher-derivative gravity theories coupled to shift-symmetric scalars in specific dimensions.

Findings

Renormalizability in D=3 and 4 dimensions

Supports higher-derivative gravity as quantum gravity candidates

Provides theoretical foundation for scalar-coupled gravity models

Abstract

It has been suggested that higher-derivative gravity theories coupled to a scalar field with shift symmetry may be an important candidate for a quantum gravity. We show that this class of gravity theories are renormalizable in D = 3 and 4 dimensions.