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The three-dimensional classical O($N$) model with a boundary has received renewed interest due to the discovery of the extraordinary-log boundary universality class for $2\leq N< N_c$. The critical value $N_c$ and the exponent of the…

高能物理 - 理论 · 物理学 2026-05-28 Runzhe Hu , Wenliang Li

For compact U(1) lattice gauge theory (LGT) we have performed a finite size scaling analysis on $N_{\tau} N_s^3$ lattices for $N_{\tau}$ fixed and $N_s\to\infty$, approaching the phase transition from the confined phase. For $N_{\tau}=4$, 5…

高能物理 - 格点 · 物理学 2008-11-26 Bernd A. Berg , Alexei Bazavov

The N-vector cubic model relevant, among others, to the physics of the randomly dilute Ising model is analyzed in arbitrary dimension by means of an exact renormalization-group equation. This study provides a unified picture of its critical…

统计力学 · 物理学 2007-05-23 M. Tissier , D. Mouhanna , J. Vidal , B. Delamotte

The critical behaviour of the O(n)-symmetric model with two n-vector fields is studied within the field-theoretical renormalization group approach in a D=4-2 epsilon expansion. Depending on the coupling constants the beta-functions, fixed…

统计力学 · 物理学 2009-02-09 Yuri M. Pis'mak , Alexej Weber , Franz J. Wegner

We study the phase diagram of the site-diluted Ising model in a wide dilution range, through Monte Carlo simulations and Finite-Size Scaling techniques. Our results for the critical exponents and universal cumulants turn out to be…

无序系统与神经网络 · 物理学 2008-12-18 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe , G. Parisi , J. J. Ruiz-Lorenzo

In a companion paper (hep-th/0512317), we have presented an approximation scheme to solve the Non Perturbative Renormalization Group equations that allows the calculation of the $n$-point functions for arbitrary values of the external…

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

We compute moving eigenvalues and the eigenvectors of the linear renormalization group transformation for observables along the renormalized trajectory of the hierarchical non-linear $O(N)$-invariant $\sigma$-model by means of perturbation…

高能物理 - 格点 · 物理学 2007-05-23 C. Wieczerkowski , Y. Xylander

We have extended through beta^{23} the high-temperature expansion of the second field derivative of the susceptibility for Ising models of general spin, with nearest-neighbor interactions, on the simple cubic and the body-centered cubic…

高能物理 - 格点 · 物理学 2009-11-07 P. Butera , M. Comi

The critical behaviour of systems belonging to the three-dimensional Ising universality class is studied theoretically using the collective variables (CV) method. The partition function of a one-component spin system is calculated by the…

统计力学 · 物理学 2012-12-27 I. V. Pylyuk , M. V. Ulyak

We present the results of a Monte Carlo simulation of the antiferromagnetic RP(2) model in three dimensions. With finite-size scaling techniques we accurately measure the critical exponents and compare them with those of O(N) models. We are…

高能物理 - 格点 · 物理学 2009-10-28 H. G. Ballesteros , L. A. Fernandez , V. Martin-Mayor , A. Munoz Sudupe

Based on the scaling relation for the dynamics at the early time, a new method is proposed to measure both the static and dynamic critical exponents. The method is applied to the two dimensional Ising model. The results are in good…

高能物理 - 理论 · 物理学 2009-09-25 Z. B. Li , L. Schuelke , B. Zheng

The complete analysis of a model with three quartic coupling constants associated with an O(2N)--symmetric, a cubic, and a tetragonal interactions is carried out within the three-loop approximation of the renormalization-group (RG) approach…

凝聚态物理 · 物理学 2009-10-30 Andrei Mudrov , Konstantin Varnashev

We probe the effect of diffeomorphism symmetry on the critical exponents values for massive O($N$) $\lambda\phi^{4}$ scalar field theories in curved spacetime. We apply field-theoretic renormalization group tools, where we use only momentum…

高能物理 - 理论 · 物理学 2021-03-03 H. A. S. Costa , P. R. S. Carvalho

We derive the general analytical expressions for the statistical uncertainties of cumulants up to fourth order including an efficiency correction. The analytical expressions have been tested with a toy Monte Carlo model analysis. An…

核理论 · 物理学 2022-03-25 Fan Si , Yifei Zhang

The stability problem for the O(N) nonlinear sigma model in the 2+\epsilon dimensions is considered. We present the results of the 1/N^{2} order calculations of the critical exponents (in the 2<d<4 dimensions) of the composite operators…

高能物理 - 理论 · 物理学 2009-10-30 S. E. Derkachov , A. N. Manashov

We study a one-dimensional model which undergoes a transition between an active and an absorbing phase. Monte Carlo simulations supported by some additional arguments prompted as to predict the exact location of the critical point and…

统计力学 · 物理学 2009-10-31 Adam Lipowski

We present a self consistent method based on cluster algorithms and Renormalization Group on the lattice to study critical systems numerically. We illustrate it by means of the 2D Ising model. We compute the critical exponents $\nu$ and…

统计力学 · 物理学 2009-12-01 Guillermo Palma , David Zambrano

We present a field-theoretical treatment of the critical behavior of three-dimensional weakly diluted quenched Ising model. To this end we analyse in a replica limit n=0 5-loop renormalization group functions of the $\phi^4$-theory with…

凝聚态物理 · 物理学 2016-08-31 R. Folk , Yu. Holovatch , T. Yavors'kii

For the classical N-vector model, with arbitrary N, we have computed through order \beta^{17} the high temperature expansions of the second field derivative of the susceptibility \chi_4(N,\beta) on the simple cubic and on the body centered…

高能物理 - 格点 · 物理学 2016-09-01 P. Butera , M. Comi

We study the off-equilibrium relaxational dynamics at criticality in the three-dimensional Blume-Capel model whose static critical behaviour belongs to the 3d-Ising universality class. Using "improved" Hamiltonian (the leading corrections…

统计力学 · 物理学 2015-03-17 Mario Collura