On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity
Abstract
The effective action in quantum general relativity is strongly dependent on the gauge-fixing and parametrization of the quantum metric. As a consequence, in the effective approach to quantum gravity, there is no possibility to introduce the renormalization-group framework in a consistent way. On the other hand, the version of effective action proposed by Vilkovisky and DeWitt does not depend on the gauge-fixing and parametrization off-shell, opening the way to explore the running of the cosmological and Newton constants as well as the coefficients of the higher-derivative terms of the total action. We argue that in the effective framework the one-loop beta functions for the zero-, two- and four-derivative terms can be regarded as exact, that means, free from corrections coming from the higher loops. In this perspective, the running describes the renormalization group flow between the present-day Hubble scale in the IR and the Planck scale in the UV.
Keywords
Cite
@article{arxiv.2009.04122,
title = {On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity},
author = {Breno L. Giacchini and Tibério de Paula Netto and Ilya L. Shapiro},
journal= {arXiv preprint arXiv:2009.04122},
year = {2020}
}
Comments
Part of arXiv:2006.04217, essentially extended to include new part with renormalization group in the framework of effective quantum gravity. Accepted for publication in JHEP