scholarly journals Nonperturbative renormalization group beyond the melonic sector: The effective vertex expansion method for group fields theories

2018 ◽  
Vol 98 (12) ◽  
Author(s):  
Vincent Lahoche ◽  
Dine Ousmane Samary
Keyword(s):  
Renormalization Group ◽  
Expansion Method ◽  
Nonperturbative Renormalization

scholarly journals Bound states of theϕ4model via the nonperturbative renormalization group

2016 ◽  
Vol 93 (12) ◽  
Author(s):  
F. Rose ◽  
F. Benitez ◽  
F. Léonard ◽  
B. Delamotte
Keyword(s):  
Renormalization Group ◽  
Bound States ◽  
Nonperturbative Renormalization

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 Conformal invariance in the nonperturbative renormalization group: A rationale for choosing the regulator

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Ivan Balog ◽  
Gonzalo De Polsi ◽  
Matthieu Tissier ◽  
Nicolás Wschebor
Keyword(s):  
Renormalization Group ◽  
Conformal Invariance ◽  
Group A ◽  
Nonperturbative Renormalization
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