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We introduce a new and very convenient approach to multi-grid Monte Carlo (MGMC) algorithms for general nonlinear $\sigma$-models: it is based on embedding an $XY$ model into the given $\sigma$-model, and then updating the induced $XY$…

高能物理 - 格点 · 物理学 2009-10-28 Gustavo Mana , Tereza Mendes , Andrea Pelissetto , Alan D. Sokal

We perform Monte Carlo simulations of a three-dimensional spin system with a Hamiltonian which contains only four-spin interaction term. This system describes random surfaces with extrinsic curvature - gonihedric action. We study the…

凝聚态物理 · 物理学 2009-11-07 G. Koutsoumbas , G. K. Savvidy

Inverse Laplace transform on the lattice spacing is introduced as a computational framework of the extrapolation of the strong coupling expansion to the scaling region. We apply the transform to the two-dimensional non-linear O(N) model at…

高能物理 - 格点 · 物理学 2013-02-01 Hirofumi Yamada

We systematically examine various proposals which aim at increasing the accuracy in the determination of the renormalization of two-fermion lattice operators. We concentrate on three finite quantities which are particularly suitable for our…

高能物理 - 格点 · 物理学 2011-09-13 M. Crisafulli , V. Lubicz , A. Vladikas

We renormalize the Wess-Zumino model at five loops in both the minimal subtraction (MSbar) and momentum subtraction (MOM) schemes. The calculation is carried out automatically using a routine that performs the D-algebra. Generalizations of…

高能物理 - 理论 · 物理学 2022-01-19 J. A. Gracey

The main technical and conceptual features of the lattice $1/N$ expansion in the scaling region are discussed in the context of a two-parameter two-dimensional spin model interpolating between $CP^{N-1}$ and $O(2N)$ $\sigma$ models, with…

高能物理 - 格点 · 物理学 2009-10-22 Massimo Campostrini , Paolo Rossi

We study the scaling behaviors of the active model B+ using the functional renormalization group (FRG) approach, based on the nonequilibrium effective action formulated via the Martin-Siggia-Rose path-integral formalism. We derive the…

统计力学 · 物理学 2026-01-28 Gergely Fejős , Zsolt Szép , Naoki Yamamoto

We determine the scaling properties of the Yang-Lee edge singularity as described by a one-component scalar field theory with imaginary cubic coupling, using the nonperturbative functional renormalization group in $3 \leq d\leq 6$ Euclidean…

高能物理 - 理论 · 物理学 2016-07-12 Xin An , David Mesterházy , Mikhail A. Stephanov

A simple phenomenological real-space renormalization group method for quantum Heisenberg spins with nearest and next nearest neighbour interactions on a pyrochlore lattice is presented. Assuming a scaling law for the order parameter of two…

统计力学 · 物理学 2013-09-18 Angel J. Garcia-Adeva

A two-loop calculation of the renormalization group $\beta$--function in a momentum subtraction scheme with massive quarks is presented using the background field formalism. The results have been obtained by using a set of new generalized…

高能物理 - 唯象学 · 物理学 2009-10-31 F. Jegerlehner , O. V. Tarasov

Reverse Monte Carlo (RMC) is an algorithm that incorporates stochastic modification of the action as part of the process that updates the fields in a Monte Carlo simulation. Such update moves have the potential of lowering or eliminating…

高能物理 - 格点 · 物理学 2015-06-22 Arjun Singh Gambhir , Kostas Orginos

A sampling method for spin systems is presented. The spin lattice is written as the union of a nested sequence of sublattices, all but the last with conditionally independent spins, which are sampled in succession using their marginals. The…

数值分析 · 数学 2008-02-09 Alexandre Chorin

The behaviour of the 3D axial next-nearest neighbour Ising (ANNNI) model at the uniaxial Lifshitz point is studied using Monte Carlo techniques. A new variant of the Wolff cluster algorithm permits the analysis of systems far larger than in…

高能物理 - 理论 · 物理学 2007-05-23 Michel Pleimling , Malte Henkel

We study, on a square lattice, an extension to fully coordinated percolation which we call iterated fully coordinated percolation. In fully coordinated percolation, sites become occupied if all four of its nearest neighbors are also…

统计力学 · 物理学 2007-05-23 E. Cuansing , H. Nakanishi

We present a detailed investigation of the momentum-dependent self-energy Sigma(k) at zero frequency of weakly interacting bosons at the critical temperature T_c of Bose-Einstein condensation in dimensions 3<=D<4. Applying the functional…

统计力学 · 物理学 2007-05-23 Nils Hasselmann , Sascha Ledowski , Peter Kopietz

The renormalized coupling $\gr$ defined through the connected 4-point function at zero external momentum in the non-linear O(3) sigma-model in two dimensions, is computed in the continuum form factor bootstrap approach with estimated error…

高能物理 - 格点 · 物理学 2009-10-31 János Balog , Max Niedermaier , Ferenc Niedermayer , Adrian Patrascioiu , Erhard Seiler , Peter Weisz

We compute the flavorless running coupling constant of QCD from the three gluon vertex in the (regularisation independent) momentum subtraction renormalisation scheme. This is performed on the lattice with high statistics. The expected…

高能物理 - 唯象学 · 物理学 2010-03-19 Ph. Boucaud , J. P. Leroy , J. Micheli , O. Pène , C. Roiesnel

Bridging algorithms are global Monte Carlo moves which allow for an efficient sampling of single polymer chains. In this manuscript we discuss the adaptation of three bridging algorithms from lattice to continuum models, and give details on…

软凝聚态物质 · 物理学 2010-03-18 Daniel Reith , Peter Virnau

A non-perturbative Renormalization Group approach is used to calculate scaling functions for an O(4) model in d=3 dimensions in the presence of an external symmetry-breaking field. These scaling functions are important for the analysis of…

高能物理 - 理论 · 物理学 2008-11-26 Jens Braun , Bertram Klein

Auxiliary field quantum Monte Carlo methods for Hubbard models are generally based on a Hubbard-Stratonovitch transformation where the field couples to the z-component of the spin. This transformation breaks SU(2) spin invariance. The…

强关联电子 · 物理学 2007-05-23 F. F. Assaad
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