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The dynamical critical exponent of the two-dimensional spin-flip Ising model is evaluated by a Monte Carlo renormalization group method involving a transformation in time. The results agree very well with a finite-size scaling analysis…

Condensed Matter · Physics 2009-10-22 Martin-D. Lacasse , Jorge Vinals , Martin Grant

Histogram-based template fits are the main technique used for estimating parameters of high energy physics Monte Carlo generators. Parametrized neural network reweighting can be used to extend this fitting procedure to many dimensions and…

High Energy Physics - Phenomenology · Physics 2021-04-08 Anders Andreassen , Shih-Chieh Hsu , Benjamin Nachman , Natchanon Suaysom , Adi Suresh

We develop a novel real-space renormalization group (RG) scheme which accurately estimates correlation length exponent $\nu$ near criticality of higher-dimensional quantum Ising and Potts models in a transverse field. Our method is…

Statistical Mechanics · Physics 2014-02-05 Aleksander Kubica , Beni Yoshida

In this paper we propose a Monte Carlo method for generating finite-domain marginals of critical distributions of statistical models in infinite volume. The algorithm corrects the problem of the long-range effects of boundaries associated…

Statistical Mechanics · Physics 2016-11-09 Victor Herdeiro , Benjamin Doyon

We describe a method to compute renormalized coupling constants in a Monte Carlo renormalization group calculation. It can be used, e.g., for lattice spin or gauge models. The basic idea is to simulate a joint system of block spins and…

High Energy Physics - Lattice · Physics 2009-10-28 M. Hasenbusch , K. Pinn , C. Wieczerkowski

We study a reweighting method aiming at numerical studies of QCD at finite density, in which the conventional Monte-Carlo method cannot be applied directly. One of the most important problems in the reweighting method is the overlap…

High Energy Physics - Lattice · Physics 2015-01-28 Ryo Iwami , S. Ejiri , K. Kanaya , Y. Nakagawa , T. Umeda , D. Yamamoto

We report current progress on the synthesis of methods to alleviate two major difficulties in implementing a Monte Carlo Renormalization Group (MCRG) for quantum systems. In particular, we have utilized the loop-algorithm to reduce critical…

Condensed Matter · Physics 2016-11-03 M. Novotny , H. G. Evertz

We present a general sample reweighting scheme and its underlying theory for the integration of an unknown function with low dimensionality. Our method produces better results than standard weighting schemes for common sampling strategies,…

Graphics · Computer Science 2019-08-07 Jerry Jinfeng Guo , Elmar Eisemann

We describe a new method to compute renormalized coupling constants in a Monte Carlo renormalization group calculation. The method can be used for a general class of models, e.g., lattice spin or gauge models. The basic idea is to simulate…

High Energy Physics - Lattice · Physics 2009-10-22 M. Hasenbusch , K. Pinn , C. Wieczerkowski

A variant of White's density matrix renormalisation group scheme which is designed to compute low-lying energies of one-dimensional quantum lattice models with a large number of degrees of freedom per site is described. The method is tested…

Condensed Matter · Physics 2009-10-31 R. J. Bursill

A Microcanonical Finite Site Ansatz in terms of quantities measurable in a Finite Lattice allows to extend phenomenological renormalization (the so called quotients method) to the microcanonical ensemble. The Ansatz is tested numerically in…

Statistical Mechanics · Physics 2009-11-28 L. A. Fernández , A. Gordillo-Guerrero , V. Martín-Mayor , J. J. Ruiz-Lorenzo

We present a multihistogram reweighting technique for nonequilibrium Markov Chains with discrete energies. The method generalizes the single histogram method of Yin et al. [Phys. Rev. E72, 036122 (2005)], making it possible to calculate the…

Statistical Mechanics · Physics 2013-04-08 Troels Arnfred Bojesen

In the paper [Angelini M C, Parisi G, and Ricci-Tersenghi F, Ensemble renormalization group for disordered systems, Phys. Rev. B 87 134201 (2013)] we introduced a real-space renormalization group called Ensemble Renormalization Group (ERG)…

Disordered Systems and Neural Networks · Physics 2020-09-04 Maria Chiara Angelini , Giorgio Parisi , Federico Ricci-Tersenghi

We propose a modification of the Nightingale renormalization group for lattice spin and gauge models by combining it with the cluster decimation approximation. Essential ingredients of our approach are: 1) exact calculation of the partition…

High Energy Physics - Lattice · Physics 2013-11-05 O. Borisenko , V. Chelnokov , V. Kushnir

We study the implementation of Monte Carlo renormalization group (MCRG) in momentum space. This technique is most efficient when used in combination with a Fourier accelerated Langevin algorithm. As a benchmark we calculate the critical…

High Energy Physics - Lattice · Physics 2009-10-28 D. ESPRIU , A. TRAVESSET

An efficient algorithm is constructed for contracting two-dimensional tensor networks under periodic boundary conditions. The central ingredient is a novel renormalization step that scales linearly with system size, i.e. from $L \to L+1$.…

Strongly Correlated Electrons · Physics 2025-04-17 Gleb Fedorovich , Lukas Devos , Jutho Haegeman , Laurens Vanderstraeten , Frank Verstraete , Atsushi Ueda

We study truncation effects in the SU(3) gauge actions obtained by the Monte Carlo renormalization group method. By measuring the heavy quark potential we find that the truncation effects in the actions coarsen the lattice by 40-50 % from…

High Energy Physics - Lattice · Physics 2010-11-19 T. Takaishi , Ph. de Forcrand

The tensor renormalization group attracts great attention as a new numerical method that is free of the sign problem. In addition to this striking feature, it also has an attractive aspect as a coarse-graining of space-time; the…

High Energy Physics - Lattice · Physics 2018-12-04 Ryo Sakai , Daisuke Kadoh , Yoshinobu Kuramashi , Yoshifumi Nakamura , Shinji Takeda , Yusuke Yoshimura

We present a simple approach to high-accuracy calculations of critical properties for the three-dimensional Ising model, without prior knowledge of the critical temperature. The iterative method uses a modified block-spin transformation…

Statistical Mechanics · Physics 2021-09-01 D. Ron , A. Brandt , R. H. Swendsen

We propose a new Real Space Renormalization Group transformation useful for Monte Carlo calculations in theories with global or local symmetries. From relaxation arguments we define the block-spin transformation with two tunable free…

High Energy Physics - Lattice · Physics 2011-07-19 L. A. Fernandez , Munoz Sudupe , J. J. Ruiz-Lorenzo , A. Tarancon