Functional renormalization group approach and gauge dependence in gravity theories
Abstract
We investigate the gauge symmetry and gauge fixing dependence properties of the effective average action for quantum gravity models of general form. Using the background field formalism and the standard BRST-based arguments, one can establish the special class of regulator functions that preserves the background field symmetry of the effective average action. Unfortunately, regardless the gauge symmetry is preserved at the quantum level, the non-invariance of the regulator action under the global BRST transformations leads to the gauge fixing dependence even under the use of the on-shell conditions.
Cite
@article{arxiv.1910.06068,
title = {Functional renormalization group approach and gauge dependence in gravity theories},
author = {Vítor F. Barra and Peter M. Lavrov and Eduardo Antonio dos Reis and Tibério de Paula Netto and Ilya L. Shapiro},
journal= {arXiv preprint arXiv:1910.06068},
year = {2020}
}
Comments
Explanations concerning functional renormalization group applied to different models of quantum gravity added. Fits the version accepted in Phys. Rev. D