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We discuss universal and non-universal critical exponents of a three dimensional Ising system in the presence of weak quenched disorder. Both experimental, computational, and theoretical results are reviewed. Special attention is paid to…

Disordered Systems and Neural Networks · Physics 2016-08-31 R. Folk , Yu. Holovatch , T. Yavors'kii

Naively, the "best" method of renormalization is the one where a momentum cutoff is taken to infinity while maintaining stable results due to a cutoff-dependent adjustment of counterterms. We have applied this renormalization method in the…

Nuclear Theory · Physics 2012-08-14 Ch. Zeoli , R. Machleidt , D. R. Entem

We study the renormalization group flow of the Luttinger-Ward functional and of its two-particle irreducible vertex functions, given a cut-off in the two-particle interaction. We derive a conserving approximation to the flow and relate it…

Strongly Correlated Electrons · Physics 2017-01-05 Jan Frederik Rentrop , Volker Meden , Severin Georg Jakobs

Cutoff regularized subleading order ${}^1S_0$ NN potential of effective field theory (EFT) is iterated using Lippmann-Schwinger equation. It is shown that the scattering amplitudes calculated in cutoff and subtractively renormalized EFT are…

Nuclear Theory · Physics 2009-11-07 J. Gegelia , G. Japaridze

The $\beta$-functions describe how couplings run under the renormalization group flow in field theories. In general, all couplings that respect the symmetry and locality are generated under the renormalization group flow, and the exact…

High Energy Physics - Theory · Physics 2022-02-02 Han Ma , Sung-Sik Lee

I summarise a method to quantitatively assess the consistency of power-counting proposals in Effective Field Theories which are non-perturbative at leading order. It uses the fact that the Renormalisation Group evolution of an observable…

Nuclear Theory · Physics 2016-02-05 Harald W. Griesshammer

We establish a correspondence between anomaly detection in high-noise regimes and the renormalization group flow of non-equilibrium field theories. We provide a physical grounding for this framework by proving that the detection of phase…

Statistical Mechanics · Physics 2026-05-25 Riccardo Finotello , Vincent Lahoche , Parham Radpay , Dine Ousmane Samary

We present a surprisingly simple approach to high-accuracy calculations of critical properties of the three-dimensional Ising model. The method uses a modified block-spin transformation with a tunable parameter to improve convergence in…

Statistical Mechanics · Physics 2017-05-24 Dorit Ron , Achi Brandt , Robert H. Swendsen

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…

Statistical Mechanics · Physics 2015-05-30 F. Benitez , J. -P. Blaizot , H. Chaté , B. Delamotte , R. Méndez-Galain , N. Wschebor

We argue that the sharp-cutoff Wilson renormalization group provides a powerful tool for the analysis of second-order and weakly first-order phase transitions. In particular, in a computation no harder than the calculation of the 1-loop…

High Energy Physics - Phenomenology · Physics 2009-10-28 Mark Alford

We study exact renormalisation group equations for the 3d Ising universality class. At the Wilson-Fisher fixed point, symmetric and antisymmetric correction-to-scaling exponents are computed with high accuracy for an optimised cutoff to…

High Energy Physics - Theory · Physics 2009-11-10 Daniel F. Litim , Lautaro Vergara

We analyze the dissipative quantum tunneling in the Caldeira-Leggett model by the nonperturbative renormalization-group method. We classify the dissipation effects by introducing the notion of effective cutoffs. We calculate the…

Quantum Physics · Physics 2009-11-07 Ken-Ichi Aoki , Atsushi Horikoshi

The renormalization-group functions of the two-dimensional n-vector \lambda \phi^4 model are calculated in the five-loop approximation. Perturbative series for the \beta-function and critical exponents are resummed by the Pade-Borel-Leroy…

High Energy Physics - Theory · Physics 2007-05-23 E. V. Orlov , A. I. Sokolov

We study the renormalization group flow of higher derivative gravity, utilizing the functional renormalization group equation for the average action. Employing a recently proposed algorithm, termed the universal renormalization group…

High Energy Physics - Theory · Physics 2012-02-29 F. Saueressig , K. Groh , S. Rechenberger , O. Zanusso

The Polchinski exact renormalization group equation for a scalar field theory in arbitrary dimensions is translated, by means of a covariant Hamiltonian formalism, into a partial differential equation for an effective Hamiltonian density…

High Energy Physics - Theory · Physics 2015-11-02 Luca Zambelli

A study of the renormalization group flow in the three-dimensional nonlinear O(N) sigma model using Monte Carlo Renormalization Group (MCRG) techniques is presented. To achieve this, we combine an improved blockspin transformation with the…

High Energy Physics - Lattice · Physics 2013-10-31 Daniel Koerner , Bjoern H. Wellegehausen , Andreas Wipf

We consider a functional relation between a given Wilsonian RG flow, which has to be related to a specific coarse-graining procedure, and an infinite family of (UV cutoff) scale dependent field redefinitions. Within this framework one can…

High Energy Physics - Theory · Physics 2020-03-03 Gian Paolo Vacca

The paper is devoted to the three-loop renormalization of the effective action for a two-dimensional non-linear sigma model using the background field method and a cutoff regularization in the coordinate representation. The coefficients of…

High Energy Physics - Theory · Physics 2025-07-09 P. V. Akacevich , A. V. Ivanov , I. V. Korenev

In this work we propose a new numerical method to evaluate the critical point, the susceptibility critical exponent and the correlation length critical exponent of the three dimensional Ising model without external field using an algorithm…

Statistical Mechanics · Physics 2021-02-19 Francisco Sastre

We discuss conceptual aspects of renormalization in the context of effective field theories for the two-nucleon system. It is shown that, contrary to widespread belief, renormalization scheme dependence of the scattering amplitude can only…

Nuclear Theory · Physics 2015-05-13 E. Epelbaum , J. Gegelia
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