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We formulate a Swendsen-Wang-like version of the geometric cluster algorithm. As an application,we study the hard-core lattice gas on the triangular lattice with the first- and the second-neighbor exclusions. The data are analyzed by…

Statistical Mechanics · Physics 2009-11-13 Wei Zhang , Youjin Deng

In a recent paper, we considered the effects of the torus lattice topology on the two-point connectivity of $Q-$ Potts clusters. These effects are universal and probe non-trivial structure constants of the theory. We complete here this work…

High Energy Physics - Theory · Physics 2020-06-24 Nina Javerzat , Marco Picco , Raoul Santachiara

By introducing a chiral term into the Hamiltonian of the 3-state Potts model on a triangular lattice additional symmetries are achieved between the clockwise and anticlockwise states and the ferromagnetic state. This model is investigated…

Statistical Mechanics · Physics 2009-11-07 Z. F. Wang , B. W. Southern , D. A. Lavis

Logarithmic finite-size scaling of the O($n$) universality class at the upper critical dimensionality ($d_c=4$) has a fundamental role in statistical and condensed-matter physics and important applications in various experimental systems.…

Statistical Mechanics · Physics 2021-04-13 Jian-Ping Lv , Wanwan Xu , Yanan Sun , Kun Chen , Youjin Deng

We present a high precision Monte Carlo study of various universal amplitude ratios of the three dimensional Ising spin model. Using state of the art simulation techniques we studied the model close to criticality in both phases. Great care…

High Energy Physics - Lattice · Physics 2009-10-30 M. Caselle , M. Hasenbusch

In two-dimensional critical loop models, including the $O(n)$ and Potts models, the spectrum is exactly known, as are a few structure constants or ratios thereof. Using numerical conformal bootstrap methods, we study $235$ of the simplest…

High Energy Physics - Theory · Physics 2024-09-26 Rongvoram Nivesvivat , Sylvain Ribault , Jesper Lykke Jacobsen

We evaluate the impact of radiative corrections in the ratios $\Gamma[B\to M \mu^+\mu^-]/\Gamma[B\to M e^+e^-]$ when the meson $M$ is a $K$ or a $K^*$. Employing the cuts on $m^2_{\ell\ell}$ and the reconstructed $B$-meson mass presently…

High Energy Physics - Phenomenology · Physics 2017-05-08 Marzia Bordone , Gino Isidori , Andrea Pattori

One of the most active areas of physics in the last decades has been that of critical phenomena, and Monte Carlo simulations have played an important role as a guide for the validation and prediction of system properties close to the…

Biological Physics · Physics 2007-05-23 Maria del Pilar Monsivais-Alonso

We simulate the improved three-dimensional two-component phi^4 model on the simple cubic lattice in the low and the high temperature phase for reduced temperatures down to |T-T_c|/T_c \approx 0.0017 on lattices of a size up to 350^3. Our…

Statistical Mechanics · Physics 2011-02-16 Martin Hasenbusch

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class,…

Condensed Matter · Physics 2015-06-25 M. Kolesik , M. Suzuki

A Monte Carlo algorithm is proposed to simulate ferromagnetic q-state Potts model for any real q>0. A single update is a random sequence of disordering and deterministic moves, one for each link of the lattice. A disordering move attributes…

Statistical Mechanics · Physics 2008-12-18 Ferdinando Gliozzi

The standard Potts model is investigated in the framework of nonextensive statistical mechanics. We performed Monte Carlo simulations on two-dimensional lattices with linear sizes ranging from 16 to 64 using the Metropolis algorithm, where…

Statistical Mechanics · Physics 2012-06-14 Attila Boer

We study subleading corrections to the corner free energy in classical two-dimensional critical systems, focusing on a generic boundary perturbation by the stress-tensor of the underlying conformal field theory (CFT). In the particular case…

Statistical Mechanics · Physics 2013-12-17 Jean-Marie Stéphan , Jérôme Dubail

We consider W-boson scattering at high-energy e+ e- colliders and study one-loop logarithmic electroweak corrections within the Standard Model assuming a light Higgs boson. We present explicit analytical results for W+ W- -> W+ W-. Using…

High Energy Physics - Phenomenology · Physics 2010-10-27 E. Accomando , A. Denner , S. Pozzorini

Recently, Velazquez and Curilef have proposed a methodology to extend Monte Carlo algorithms based on canonical ensemble, which is aimed to overcome slow sampling problems associated with temperature-driven discontinuous phase transitions.…

Statistical Mechanics · Physics 2013-07-31 L. Velazquez , J. C. Castro-Palacio

We have studied the effects of the complete logarithmic electroweak O(alpha) corrections on the production of vector-boson pairs WZ, ZZ, and WW at the LHC. These corrections are implemented into a Monte Carlo program for pp -> 4f (+\gamma)…

High Energy Physics - Phenomenology · Physics 2008-11-26 E. Accomando , A. Denner , A. Kaiser

We applied QCD Light Cone Sum Rules to estimate power corrections to the helicity-conserving amplitude in the process $\gamma^*\gamma\to \pi\pi$. We found that above $Q^2 \sim 4$ GeV$^2$ power corrections are numerically small and the…

High Energy Physics - Phenomenology · Physics 2011-09-13 N. Kivel , L. Mankiewicz

The behavior of dimensionless quantities defined as ratios of partition functions is analyzed to investigate phase transitions and critical phenomena. At criticality, the universal values of these ratios can be predicted from conformal…

Statistical Mechanics · Physics 2026-03-05 Satoshi Morita , Naoki Kawashima

The Potts conformal field theory is an analytic continuation in the central charge of conformal field theory describing the critical two-dimensional $Q$-state Potts model. Four-point functions of the Potts conformal field theory are…

High Energy Physics - Theory · Physics 2023-06-14 Rongvoram Nivesvivat

We investigate the three-dimensional O(2) model near the critical point by Monte Carlo simulations and calculate the major universal amplitude ratios of the model. The ratio U_0=A+/A- is determined directly from the specific heat data at…

Statistical Mechanics · Physics 2008-11-26 A. Cucchieri , J. Engels , S. Holtmann , T. Mendes , T. Schulze