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We present an approximation scheme to solve the Non Perturbative Renormalization Group equations and obtain the full momentum dependence of the $n$-point functions. It is based on an iterative procedure where, in a first step, an initial…

高能物理 - 理论 · 物理学 2008-11-26 J. P. Blaizot , R. Mendez-Galain , N. Wschebor

We propose a new approximation scheme to solve the Non Perturbative Renormalization Group equations and obtain the full momentum dependence of $n$-point functions. This scheme involves an iteration procedure built on an extension of the…

统计力学 · 物理学 2010-12-17 Jean-Paul Blaizot , Ramon Mendez Galain , Nicolas Wschebor

We present the first numerical application of a method that we have recently proposed to solve the Non Perturbative Renormalization Group equations and obtain the n-point functions for arbitrary external momenta. This method leads to flow…

高能物理 - 理论 · 物理学 2008-11-26 Jean-Paul Blaizot , Ramon Mendez-Galain , Nicolas Wschebor

The self-energy of the critical 3-dimensional O(N) model is calculated. The analysis is performed in the context of the Non-Perturbative Renormalization Group, by exploiting an approximation which takes into account contributions of an…

统计力学 · 物理学 2008-11-26 Federico Benitez , Ramon Mendez Galain , Nicolas Wschebor

We propose a method to solve the Non Perturbative Renormalization Group equations for the $n$-point functions. In leading order, it consists in solving the equations obtained by closing the infinite hierarchy of equations for the $n$-point…

高能物理 - 理论 · 物理学 2009-11-11 J. -P. Blaizot , Ramon Mendez Galain , Nicolas Wschebor

We demonstrate the power of a recently-proposed approximation scheme for the non-perturbative renormalization group that gives access to correlation functions over their full momentum range. We solve numerically the leading-order flow…

统计力学 · 物理学 2009-11-19 F. Benitez , J. -P. Blaizot , H. Chate , B. Delamotte , R. Mendez-Galain , N. Wschebor

The usual procedure of including a finite number of vertices in Non Perturbative Renormalization Group equations in order to obtain $n$-point correlation functions at finite momenta is analyzed. This is done by exploiting a general method…

高能物理 - 理论 · 物理学 2008-11-26 Diego Guerra , Ramon Mendez-Galain , Nicolas Wschebor

After a short elementary introduction to the exact renormalization group for the effective action, I discuss a particular truncation of the hierarchy of flow equations that allows for the determination of the full momentum of the $n$-point…

统计力学 · 物理学 2011-10-18 Jean-Paul Blaizot

We present an approximation scheme of the nonperturbative renormalization group that preserves the momentum dependence of correlation functions. This approximation scheme can be seen as a simple improvement of the local potential…

统计力学 · 物理学 2018-05-24 Félix Rose , Nicolas Dupuis

We project the Wilson/Polchinski renormalization group equation onto its uniform external field dependent effective free energy and connected Green's functions. The result is a hierarchy of equations which admits a choice of "natural"…

高能物理 - 理论 · 物理学 2007-05-23 Geoffrey R. Golner

In the present article we analyze Non-Perturbative Renormalization Group flow equations in the order phase of $\mathbb{Z}_2$ and $O(N)$ invariant scalar models in the derivative expansion approximation scheme. We first address the behavior…

统计力学 · 物理学 2016-11-02 Marcela Peláez , Nicolás Wschebor

Asymptotically exact results are obtained for the average Green function and density of states of a disordered system for a renormalizable class of models (as opposed to the lattice models examined previously [Zh. Eksp. Teor. Fiz. 106…

无序系统与神经网络 · 物理学 2007-05-23 I. M. Suslov

We apply to the calculation of the pressure of a hot scalar field theory a method that has been recently developed to solve the Non-Perturbative Renormalization Group. This method yields an accurate determination of the momentum dependence…

高能物理 - 唯象学 · 物理学 2011-01-17 Jean-Paul Blaizot , Andreas Ipp , Nicolás Wschebor

We use the non-perturbative renormalization group to clarify some features of perturbation theory in thermal field theory. For the specific case of the scalar field theory with O(N) symmetry, we solve the flow equations within the local…

高能物理 - 唯象学 · 物理学 2008-11-26 Jean-Paul Blaizot , Andreas Ipp , Ramon Mendez-Galain , Nicolas Wschebor

N-point energy correlators are powerful observables for studying strong interactions, with applications ranging from extractions of the strong coupling $\alpha_s$ to probes of jet modification in heavy-ion collisions and determination of…

高能物理 - 唯象学 · 物理学 2026-03-19 Ankita Budhraja , Isabelle Pels , Wouter J. Waalewijn

The non-perturbative Wegner-Houghton renormalization group is analyzed by the local potential approximation in O(N) scalar theories in d-dimensions $(3\leq d\leq 4)$. The leading critical exponents \nu are calculated in order to investigate…

高能物理 - 唯象学 · 物理学 2009-10-30 Ken-Ichi Aoki , Keiichi Morikawa , Wataru Souma , Jun-ichi Sumi , Haruhiko Terao

We study higher order approximations in the renormalization group approach to matrix models. We use constraint equations on the free energy resulting from a freedom of field redefinitionsand obtain the effective beta function for a single…

高能物理 - 理论 · 物理学 2015-06-26 Yukihisa Itoh

We present in detail the implementation of the Blaizot-M\'endez-Wschebor (BMW) approximation scheme of the nonperturbative renormalization group, which allows for the computation of the full momentum dependence of correlation functions. We…

统计力学 · 物理学 2015-05-30 F. Benitez , J. -P. Blaizot , H. Chaté , B. Delamotte , R. Méndez-Galain , N. Wschebor

We present a truncation scheme of the effective average action approach of the nonperturbative renormalization group which allows for an accurate description of the critical regime as well as of correlation functions at finite momenta. The…

统计力学 · 物理学 2013-01-17 N. Hasselmann

We present a simple and consistent way to compute correlation functions in interacting theories with non-trivial phase diagram. As an example we show how to consistently compute the four-point function in three dimensional…

高能物理 - 理论 · 物理学 2016-07-13 Alessandro Codello , Alberto Tonero
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