scholarly journals Functional renormalization group study on the phase structure in the Quark-Meson model with ω meson

2018 ◽  
Author(s):  
Defu Hou ◽  
Bin Qin ◽  
Toru Kojo ◽  
Hui Zhang
Keyword(s):  
Renormalization Group ◽  
Phase Structure ◽  
Functional Renormalization Group

Renormalization of the conformally reduced gravity with bilocal potential

2020 ◽  
Vol 35 (22) ◽  
pp. 2050123
Author(s):  
Flóra Gégény ◽  
Sándor Nagy
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Phase Structure ◽  
Anomalous Dimension ◽  
Reduced Gravity ◽  
Functional Renormalization Group ◽  
Renormalization Group Equations ◽  
Non Gaussian

The functional renormalization group equations are derived for the conformally reduced gravity, in the framework of the Wegner–Houghton equation. It is argued, that the blocking introduces bilocal terms into the action, which can account for the evolution of the anomalous dimension. The phase structure exhibits the known structure including an ultraviolet attractive non-Gaussian fixed point.

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.

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