On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity

Giacchini，Breno L.1; de Paula Netto，Tibério1; Shapiro，Ilya L.2

2020-10-01

10.1007/JHEP10(2020)011

Journal of High Energy Physics   影响因子和分区

1029-8479

1029-8479

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.

Models of Quantum Gravity Renormalization Group

SCI

英语

第一

Conselho Nacional de Desenvolvimento Cientifico e Tecnologico - CNPq[303635/2018-5]

Physics

Physics, Particles & Fields

WOS:000576976700002

SPRINGER

PHYSICS

2-s2.0-85091770158

Scopus

1.Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China
2.Departamento de Física,ICE,Universidade Federal de Juiz de Fora,Juiz de Fora,36036-900,Brazil

Giacchini，Breno L.,de Paula Netto，Tibério,Shapiro，Ilya L.. On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity[J]. Journal of High Energy Physics,2020,2020(10).

Giacchini，Breno L.,de Paula Netto，Tibério,&Shapiro，Ilya L..(2020).On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity.Journal of High Energy Physics,2020(10).

Giacchini，Breno L.,et al."On the Vilkovisky-DeWitt approach and renormalization group in effective quantum gravity".Journal of High Energy Physics 2020.10(2020).