Effective average action and nonperturbative renormalization group equation in higher derivative quantum gravity
Abstract
We study the exact renormalization group (RG) in -gravity in the effective average action formalism using the background field method. The truncated evolution equation (where truncation is made to low-derivatives functionals space) for such a theory in a de Sitter background leads to a set of nonperturbative RG equations for cosmological and gravitational coupling constants. The gauge dependence problem is solved by working in the physical Landau-De Witt gauge corresponding to gauge-fixing independent effective action. Approximate solution of nonperturbative RG equations reveals the appearence of antiscreening or screening behaviour of Newtonian coupling, depending on the higher-derivatives coupling constants. The existence of unstable UV fixed points is also mentioned.
Cite
@article{arxiv.gr-qc/9801026,
title = {Effective average action and nonperturbative renormalization group equation in higher derivative quantum gravity},
author = {L. N. Granda and S. D. Odintsov},
journal= {arXiv preprint arXiv:gr-qc/9801026},
year = {2016}
}
Comments
Latex file, 10 pages, to appear in Grav.and Cosm.,v.4,1998