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Results of a lattice field theory simulation of the single-flavor Thirring model in 2+1 spacetime dimensions are presented. The lattice model is formulated using domain wall fermions as a means to recover the correct U(2) symmetries of the…

High Energy Physics - Lattice · Physics 2021-10-11 Simon Hands , Michele Mesiti , Jude Worthy

In a seminal paper (Weitz, 2006), Weitz gave a deterministic fully polynomial approximation scheme for count- ing exponentially weighted independent sets (equivalently, approximating the partition function of the hard-core model from…

Discrete Mathematics · Computer Science 2015-03-19 Alistair Sinclair , Piyush Srivastava , Marc Thurley

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

Percolation on a five-dimensional simple hypercubic (sc(5)) lattice with extended neighborhoods is investigated by means of extensive Monte Carlo simulations, using an effective single-cluster growth algorithm. The critical exponents,…

Statistical Mechanics · Physics 2025-12-29 Zhipeng Xun , Dapeng Hao , Robert M. Ziff

We consider long-range percolation, Ising model, and self-avoiding walk on $\mathbb{Z}^d$, with couplings decaying like $|x|^{-(d+\alpha)}$ where $0 < \alpha \le 2$, above the upper critical dimensions. In the spread-out setting where the…

Probability · Mathematics 2025-12-23 Yucheng Liu

Using Monte Carlo Simulation and fundamental measure theory we study the phase diagram of a two-dimensional lattice gas model with a nearest neighbor hard core exclusion and a next-to-nearest neighbors finite repulsive interaction. The…

Soft Condensed Matter · Physics 2012-02-02 Noe G. Almarza , Jose A. Capitan , Jose A. Cuesta , Enrique Lomba

We present detailed Monte Carlo results for a two-dimensional grain boundary model on a lattice. The effective Hamiltonian of the system results from the microscopic interaction of grains with orientations described by spins of unit length,…

Condensed Matter · Physics 2015-06-25 A. Jaster , H. Hahn

We discuss testing improved actions in the context of finite volume gauge theories, where both results for the continuum and the Wilson lattice action are known analytically for volumes up to 0.7 fermi across. A new improved action is…

High Energy Physics - Lattice · Physics 2007-05-23 Margarita Garcia Perez , Jeroen Snippe , Pierre van Baal

We study the two-dimensional Wess-Zumino model with extended N=2 supersymmetry on the lattice. The lattice prescription we choose has the merit of preserving {\it exactly} a single supersymmetric invariance at finite lattice spacing $a$.…

High Energy Physics - Lattice · Physics 2011-07-28 Simon Catterall , Sergey Karamov

Approximate counting via correlation decay is the core algorithmic technique used in the sharp delineation of the computational phase transition that arises in the approximation of the partition function of anti-ferromagnetic two-spin…

Computational Complexity · Computer Science 2019-02-04 Ivona Bezakova , Andreas Galanis , Leslie Ann Goldberg , Heng Guo , Daniel Stefankovic

This study investigates the atomistic spin system in $\rm CrCl_{3}$, which exhibits topologically nontrivial meron structures within its layered hexagonal lattice framework. We analyze the complete model of discrete spin dynamics on a…

Mathematical Physics · Physics 2024-07-19 Mengjia Bai , Jingrun Chen , Zhiwei Sun , Yun Wang

We report extensive Monte Carlo simulations of the Widom-Rowlinson lattice model in two and three dimensions. Our results yield precise values for the critical activities and densities, and clearly place the critical behavior in the Ising…

chem-ph · Physics 2016-08-31 Ronald Dickman , George Stell

We test an optimised hopping parameter expansion on various Z_2 lattice scalar field models: the Ising model, a spin-one model and lambda (phi)^4. We do this by studying the critical indices for a variety of optimisation criteria, in a…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Evans , M. Ivin

We study the quantum phase transition from a super solid phase to a solid phase of rho = 1/2 for the extended Bose-Hubbard model on the honeycomb lattice using first principles Monte Carlo calculations. The motivation of our study is to…

Statistical Mechanics · Physics 2015-03-17 F. -J. Jiang , U. Gerber

We determine the dynamical critical exponent, $z$, appearing at the Bose glass to superfluid transition in two dimensions by performing large scale numerical studies of two microscopically different quantum models within the universality…

Statistical Mechanics · Physics 2015-07-01 R. Ng , E. S. Sorensen

We compute the QCD running coupling on the lattice as defined from the 3-gluon vertex. We present the results of an exploratory study at $\beta=6.0$ on a $16^4$ lattice, which show that for momenta larger than 2 \Gev, the coupling runs…

High Energy Physics - Lattice · Physics 2007-05-23 D. Henty , C. Parrinello , C. Pittori

We apply strong-coupling expansion techniques to finite-temperature lattice pure gauge theory, obtaining dimensionally reduced $Z_N$-symmetric effective theories. The analytic mappings between the effective couplings and the original one,…

High Energy Physics - Lattice · Physics 2011-11-08 Stefano Lottini , Owe Philipsen , Jens Langelage

The main objective of this presentation is to point out that the Upper bound on the cutoff in lattice Electroweak theory is still unknown. The consideration of the continuum theory is based on the perturbation expansion around trivial…

High Energy Physics - Lattice · Physics 2010-11-05 A. I. Veselov , M. A. Zubkov

Our study of the energy distribution has shown that the strength of the first order transition in the four-dimensional compact U(1) lattice gauge theory decreases when the coupling $\lambda$ of the monopole term increases. The disappearance…

High Energy Physics - Lattice · Physics 2009-10-28 W. Kerler , C. Rebbi , A. Weber

A recent Letter~\cite{Borsanyi:2025dyp} employs lattice QCD calculations of the equation of state, combined with entropy-density contour analysis, to place a lower bound of $\mu_B \gtrsim 450$~MeV on the location of the QCD critical…

High Energy Physics - Lattice · Physics 2026-04-01 Roy A. Lacey