scholarly journals Functional renormalization group flow of the effective Hamiltonian action

2012 ◽  
Vol 86 (8) ◽  
Author(s):  
G. P. Vacca ◽  
L. Zambelli
Keyword(s):  
Renormalization Group ◽  
Effective Hamiltonian ◽  
Renormalization Group Flow ◽  
Hamiltonian Action ◽  
Functional Renormalization Group ◽  
Group Flow

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 Renormalization group flow of the Higgs potential

2018 ◽  
Vol 376 (2114) ◽  
pp. 20170120 ◽  
Author(s):  
Holger Gies ◽  
René Sondenheimer
Keyword(s):  
Renormalization Group ◽  
Effective Potential ◽  
Higgs Mass ◽  
Planck Scale ◽  
Higgs Potential ◽  
Renormalization Group Flow ◽  
Functional Renormalization Group ◽  
Global Properties ◽  
Higher Dimensional ◽  
Group Flow

We summarize results for local and global properties of the effective potential for the Higgs boson obtained from the functional renormalization group, which allows one to describe the effective potential as a function of both scalar field amplitude and renormalization group scale. This sheds light onto the limitations of standard estimates which rely on the identification of the two scales and helps in clarifying the origin of a possible property of meta-stability of the Higgs potential. We demonstrate that the inclusion of higher-dimensional operators induced by an underlying theory at a high scale (GUT or Planck scale) can relax the conventional lower bound on the Higgs mass derived from the criterion of absolute stability. This article is part of the Theo Murphy meeting issue ‘Higgs cosmology’.

scholarly journals A COMPARED ANALYSIS OF THE SUSCEPTIBILITY IN THE O(N) THEORY

2013 ◽  
Vol 28 (17) ◽  
pp. 1350078 ◽  
Author(s):  
VINCENZO BRANCHINA ◽  
EMANUELE MESSINA ◽  
DARIO ZAPPALÀ
Keyword(s):  
Renormalization Group ◽  
Numerical Analysis ◽  
Effective Potential ◽  
Renormalization Group Flow ◽  
Potential Approximation ◽  
Functional Renormalization Group ◽  
Flow Equations ◽  
Large N ◽  
Local Potential Approximation ◽  
Group Flow

The longitudinal susceptibility χL of the O(N) theory in the broken phase is analyzed by means of three different approaches, namely the leading contribution of the 1/N expansion, the Functional Renormalization Group flow in the Local Potential approximation and the improved effective potential via the Callan–Symanzik equations, properly extended to d = 4 dimensions through the expansion in powers of ϵ = 4-d. The findings of the three approaches are compared and their agreement in the large N limit is shown. The numerical analysis of the Functional Renormalization Group flow equations at small N supports the vanishing of [Formula: see text] in d = 3 and d = 3.5 but is not conclusive in d = 4, where we have to resort to the Callan–Smanzik approach. At finite N as well as in the limit N→∞, we find that [Formula: see text] vanishes with J as Jϵ/2 for ϵ> 0 and as ( ln (J))-1 in d = 4.

scholarly journals Ruppeiner curvature along a renormalization group flow

2021 ◽  
pp. 136450
Author(s):  
Pavan Kumar Yerra ◽  
Chandrasekhar Bhamidipati
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Flow ◽  
Group Flow
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