Gauge-Invariant and Gauge-Fixing Independent Effective Action in One-Loop Quantum Gravity

1993 ◽  
Vol 41 (8) ◽  
pp. 719-736
Author(s):  
S. D. Odintsov ◽  
I. N. Shevchenko
Keyword(s):  
Quantum Gravity ◽  
Effective Action ◽  
Loop Quantum Gravity ◽  
Gauge Invariant ◽  
Gauge Fixing

scholarly journals Gauge invariant cosmological perturbation equations with corrections from loop quantum gravity

2009 ◽  
Vol 79 (4) ◽  
Author(s):  
Martin Bojowald ◽  
Golam Mortuza Hossain ◽  
Mikhail Kagan ◽  
S. Shankaranarayanan
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Cosmological Perturbation ◽  
Gauge Invariant ◽  
Perturbation Equations

scholarly journals Examples of the Vilkovisky-Dewitt effective action in one-loop quantum gravity

1992 ◽  
Vol 45 (12) ◽  
pp. 4504-4513
Author(s):  
Bruce Allen ◽  
John G. Mc Laughlin ◽  
Adrian C. Ottewill
Keyword(s):  
Quantum Gravity ◽  
Effective Action ◽  
Loop Quantum Gravity

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

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Breno L. Giacchini ◽  
Tibério de Paula Netto ◽  
Ilya L. Shapiro
Keyword(s):  
Renormalization Group ◽  
Quantum Gravity ◽  
Effective Action ◽  
Planck Scale ◽  
Renormalization Group Flow ◽  
Higher Derivative ◽  
Gauge Fixing ◽  
Total Action ◽  
The One ◽  
Group Flow

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.

scholarly journals Gauge-invariant bounce from loop quantum gravity

2020 ◽  
Vol 37 (8) ◽  
pp. 085015
Author(s):  
Klaus Liegener ◽  
Parampreet Singh
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Gauge Invariant

scholarly journals The picture of the Bianchi I model via gauge fixing in Loop Quantum Gravity

2012 ◽  
Vol 99 (1) ◽  
pp. 10003 ◽  
Author(s):  
F. Cianfrani ◽  
A. Marchini ◽  
G. Montani
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Bianchi I ◽  
Gauge Fixing
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