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Within the context of the functional renormalization group flow of gravity, we suggest that a generic f(R) ansatz (i.e. not truncated to any specific form, polynomial or not) for the effective action plays a role analogous to the local…

High Energy Physics - Theory · Physics 2012-10-10 Dario Benedetti , Francesco Caravelli

Exact numerical minimization of interface energies is used to test the functional renormalization group (FRG) analysis for interfaces pinned by quenched disorder. The fixed-point function R(u) (the correlator of the coarse-grained disorder)…

Disordered Systems and Neural Networks · Physics 2013-05-29 A. Alan Middleton , Pierre Le Doussal , Kay Joerg Wiese

We suggest a new, renormalization group (RG) based, nonperturbative method for treating the intermittency problem of fully developed turbulence which also includes the effects of a finite boundary of the turbulent flow. The key idea is not…

chao-dyn · Physics 2007-05-23 Alexander Esser , Siegfried Grossmann

We show that the N-patch functional renormalization group (pFRG), a theoretical method commonly applied for correlated electron systems, is unable to implement consistently the matrix element interference arising from strong momentum…

Strongly Correlated Electrons · Physics 2019-04-10 Li-Han Chen , Zhen Liu , Jian-Ting Zheng

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…

Statistical Mechanics · Physics 2009-11-19 F. Benitez , J. -P. Blaizot , H. Chate , B. Delamotte , R. Mendez-Galain , N. Wschebor

We outline a separable matrix ansatz for the potentials in effective field theories of nonrelativistic two-body systems with short-range interactions. We use this ansatz to construct new fixed points of the renormalisation-group equation…

High Energy Physics - Phenomenology · Physics 2016-03-23 M. C. Birse , E. Epelbaum , J. Gegelia

We present a novel Renormalization Group (RG) framework based on a nonlocal effective action ansatz to tame the strong coupling dynamics of the three-dimensional relativistic $\phi^{4}$ theory. By implementing a Hubbard-Stratonovich…

Strongly Correlated Electrons · Physics 2026-05-22 Seung-Jong Yoo , Hyeon Jung Kim , Jinmo Bok , Lemuel John Sese , Semin Park , Ki-Seok Kim

We present a recently introduced real space renormalization group (RG) approach to the study of surface growth. The method permits us to obtain the properties of the KPZ strong coupling fixed point, which is not accessible to standard…

Condensed Matter · Physics 2016-08-17 M. A. Muñoz , G. Bianconi , C. Castellano , A. Gabrielli , M. Marsili , L. Pietronero

The physics of strongly correlated systems offers some of the most intriguing physics challenges such as competing orders or the emergence of dynamical composite degrees of freedom. Often, the resolution of these physics challenges is…

High Energy Physics - Theory · Physics 2025-08-29 Friederike Ihssen , Jan M. Pawlowski

We study the replica field theory which describes the pinning of elastic manifolds of arbitrary internal dimension d in a random potential, with the aim of bridging the gap between mean field and renormalization theory. The full effective…

Condensed Matter · Physics 2009-07-10 Pierre Le Doussal , Kay Joerg Wiese

We study a class of renormalization group flows on line defects that can be described by a generalized free field with ordered planar contractions on the line. They are realized, for example, in large $N$ gauge theories with matter in the…

High Energy Physics - Theory · Physics 2024-06-18 Ivri Nagar , Amit Sever , De-liang Zhong

Frustrated magnets are a notorious example where the usual perturbative methods are in conflict. Using a nonperturbative Wilson-like approach, we get a coherent picture of the physics of Heisenberg frustrated magnets everywhere between…

Statistical Mechanics · Physics 2009-10-31 M. Tissier , B. Delamotte , D. Mouhanna

We present a study of the attractive Hubbard model based on the dynamical mean field theory (DMFT) combined with the numerical renormalization group (NRG). For this study the NRG method is extended to deal with self-consistent solutions of…

Superconductivity · Physics 2009-07-22 J. Bauer , A. C. Hewson , N. Dupuis

Fixed-point equations in the functional renormalization group approach are integrated from large to vanishing field, where an asymptotic potential in the limit of large field is implemented as initial conditions. This approach allows us to…

High Energy Physics - Phenomenology · Physics 2023-04-11 Yang-yang Tan , Chuang Huang , Yong-rui Chen , Wei-jie Fu

A recently proposed renormalization group technique, based on the hierarchical structures present in theories with fluctuating geometry, is implemented in the model of branched polymers. The renormalization group equations can be solved…

High Energy Physics - Lattice · Physics 2009-10-28 Jan Ambjorn , Piotr Bialas , Jerzy Jurkiewicz

We develop a simple non-perturbative approach to the calculation of a field theory effective potential that is based on the Wilson or exact renormalization group. Our approach follows Shepard et al's idea [Phys. Rev. D51, 7017 (1995)] of…

High Energy Physics - Theory · Physics 2022-07-05 Jose Gaite

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…

High Energy Physics - Theory · Physics 2008-11-26 J. P. Blaizot , R. Mendez-Galain , N. Wschebor

The field theoretic renormalization group (RG) is applied to the model of a near-equilibrium fluid coupled to a scalar field (like temperature or density of an impurity) which is active, that is, influencing the dynamics of the fluid…

Statistical Mechanics · Physics 2021-09-15 N. V. Antonov , M. M. Kostenko

For decades, frustrated quantum magnets have been a seed for scientific progress and innovation in condensed matter. As much as the numerical tools for low-dimensional quantum magnetism have thrived and improved in recent years due to…

Strongly Correlated Electrons · Physics 2024-06-14 Tobias Müller , Dominik Kiese , Nils Niggemann , Björn Sbierski , Johannes Reuther , Simon Trebst , Ronny Thomale , Yasir Iqbal

We studied the nematic isotropic phase transition by applying the functional renormalization group to the Landau-de Gennes model. We derived the flow equations for the effective potential as well as the cubic and quartic "couplings" and the…

Statistical Mechanics · Physics 2018-07-11 Bin Qin , Defu Hou , Mei Huang , Danning Li , Hui Zhang
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