One loop renormalization of the 4-D Quantum Dilaton Gravity in Spherical symmetric background

TL;DR

This paper investigates the one-loop renormalization properties of a general 4D metric-dilaton gravity theory, demonstrating conditions under which the theory remains renormalizable in spherical symmetric backgrounds.

Contribution

It provides a detailed analysis of one-loop renormalization in the most general second-derivative metric-dilaton theory, identifying specific backgrounds that ensure renormalizability.

Findings

Two types of gravity backgrounds enable one-loop renormalizability.

Explicit demonstration of renormalizability in spherical symmetric background.

Analysis of constant background dilaton theory.

Abstract

We study the one loop renormalization in the most general metric-dilaton theory with second derivative only. In constant background dilaton theory, there are two types of gravity background which enable the theory renormalizable at one-loop level. We show this concretely to discuss on the spherical symmetric background.