Quantization of the Gravitational Constant in Odd-Dimensional Gravity

TL;DR

This paper discusses how a recent odd-dimensional gravity action leads to a natural quantization of the gravitational constant and suggests these theories could be power counting renormalizable due to the absence of dimensionful parameters.

Contribution

It introduces a gravity action in odd dimensions that inherently quantizes the gravitational constant and proposes potential renormalizability of these theories.

Findings

Provides a natural quantization scheme for the gravitational constant.

Shows these theories lack dimensionful parameters, aiding renormalizability.

Suggests potential for power counting renormalizable gravity models.

Abstract

It is pointed out that the action recently proposed by Ba\~nados et al. for gravitation in odd dimensions higher (and lower) than four, provides a natural quantization for the gravitational constant. These theories possess no dimensionful parameters and hence they may be power counting renormalizable.