Renormalization group and effective potential in higher-derivative quantum gravity with matter

1994 ◽  
Vol 336 (3-4) ◽  
pp. 347-354 ◽  
Author(s):  
Sergei D. Odintsov
Keyword(s):  
Renormalization Group ◽  
Quantum Gravity ◽  
Effective Potential ◽  
Higher Derivative

scholarly journals CONFORMAL FACTOR DYNAMICS IN THE 1/N EXPANSION

1995 ◽  
Vol 10 (09) ◽  
pp. 733-739 ◽  
Author(s):  
E. ELIZALDE ◽  
S. D. ODINTSOV
Keyword(s):  
Renormalization Group ◽  
Quantum Gravity ◽  
Cosmological Constant ◽  
Effective Potential ◽  
Bound States ◽  
Conformal Factor ◽  
Effective Theory ◽  
Cosmological Constant Problem ◽  
New Model

We suggest to consider conformal factor dynamics as applying to composite bound states, in the framework of the 1/N expansion. In this way, a new model of effective theory for quantum gravity is obtained. The renormalization group (RG) analysis of this model provides a framework to solve the cosmological constant problem, since the value of this constant turns out to be suppressed, as a result of the RG contributions. The effective potential for the conformal factor is also found.

scholarly journals RENORMALIZATION GROUP EFFECTS IN THE CONFORMAL SECTOR OF 4D QUANTUM GRAVITY WITH MATTER

1994 ◽  
Vol 09 (22) ◽  
pp. 2041-2047 ◽  
Author(s):  
S. ODINTSOV ◽  
R. PERCACCI
Keyword(s):  
Renormalization Group ◽  
Gauge Theory ◽  
Quantum Gravity ◽  
Effective Potential ◽  
Gauge Coupling ◽  
Liouville Theory ◽  
Gross Neveu Model ◽  
Group Effects

We discuss the “gravitationally dressed” beta functions in the Gross-Neveu model interacting with 2d Liouville theory and in SU(N) gauge theory interacting with the conformal sector of 4d quantum gravity. Among the effects we suggest one may feel that the gravitational dressing are the minimum of the effective potential and the running of the gauge coupling.

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 Renormalization group properties of higher-derivative quantum gravity with matter in 4 - ε dimensions

1996 ◽  
Vol 462 (2-3) ◽  
pp. 315-329 ◽  
Author(s):  
Emili Elizalde ◽  
Sergei D. Odintsov ◽  
August Romeo
Keyword(s):  
Renormalization Group ◽  
Quantum Gravity ◽  
Higher Derivative

Gauge invariance and unitarity in higher-derivative quantum gravity

1986 ◽  
Vol 33 (10) ◽  
pp. 2756-2779 ◽  
Author(s):  
I. Antoniadis ◽  
E. T. Tomboulis
Keyword(s):  
Quantum Gravity ◽  
Gauge Invariance ◽  
Higher Derivative

scholarly journals ASYMPTOTIC SAFETY IN HIGHER-DERIVATIVE GRAVITY

2009 ◽  
Vol 24 (28) ◽  
pp. 2233-2241 ◽  
Author(s):  
DARIO BENEDETTI ◽  
PEDRO F. MACHADO ◽  
FRANK SAUERESSIG
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Functional Renormalization Group ◽  
Asymptotic Safety ◽  
Higher Derivative ◽  
Gravity Theories ◽  
Group Flow ◽  
Nonperturbative Renormalization

We study the nonperturbative renormalization group flow of higher-derivative gravity employing functional renormalization group techniques. The nonperturbative contributions to the β-functions shift the known perturbative ultraviolet fixed point into a nontrivial fixed point with three UV-attractive and one UV-repulsive eigendirections, consistent with the asymptotic safety conjecture of gravity. The implication of this transition on the unitarity problem, typically haunting higher-derivative gravity theories, is discussed.

scholarly journals Standard model and graviweak unification with (super)renormalizable gravity. Part I: Visible and invisible sectors of the universe

2015 ◽  
Vol 30 (09) ◽  
pp. 1550044 ◽  
Author(s):  
L. V. Laperashvili ◽  
H. B. Nielsen ◽  
A. Tureanu
Keyword(s):  
Standard Model ◽  
Quantum Gravity ◽  
Consistent Theory ◽  
Invariant Model ◽  
Higher Derivative ◽  
Self Consistent ◽  
Renormalizable Theory ◽  
Theory Of Gravity ◽  
Higgs Fields ◽  
The Universe

We develop a self-consistent Spin (4, 4)-invariant model of the unification of gravity with weak SU(2) gauge and Higgs fields in the visible and invisible sectors of our universe. We consider a general case of the graviweak unification, including the higher-derivative super-renormalizable theory of gravity, which is a unitary, asymptotically-free and perturbatively consistent theory of the quantum gravity.

scholarly journals Renormalization group in six-derivative quantum gravity

2021 ◽  
Vol 104 (8) ◽  
Author(s):  
Lesław Rachwał ◽  
Leonardo Modesto ◽  
Aleksandr Pinzul ◽  
Ilya L. Shapiro
Keyword(s):  
Renormalization Group ◽  
Quantum Gravity
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