English
Related papers

Related papers: An improved lattice measurement of the critical co…

200 papers

We investigate the possibility of using the 4 dimensional $O(4)$ symmetric $\phi^4$ model as an effective theory for the sigma-pion system. We carry out lattice Monte Carlo simulations to establish the triviality bound in the case of…

High Energy Physics - Phenomenology · Physics 2019-10-02 Gergely Markó , Zsolt Szép

The QCD analytic running coupling alpha_{an} which has no nonphysical singularities for all Q^2>0 is considered for the initial perturbation theory approximations up to four loop order. The finiteness of the analytic coupling at zero is…

High Energy Physics - Phenomenology · Physics 2009-11-07 Aleksey I. Alekseev

A lattice simulation in the broken phase of four-dimensional (lambda Phi^4) theory in the Ising limit suggests that, in the continuum limit, the scalar condensate rescales by a factor different from the conventional wavefunction…

High Energy Physics - Lattice · Physics 2009-10-31 P. Cea , M. Consoli , L. Cosmai

We study the $O(N)$-invariant $\phi^4$ model on the simple cubic lattice by using Monte Carlo simulations. By using a finite size scaling analysis, we obtain accurate estimates for the critical exponents $\nu$ and $\eta$ for $N=4$, $5$,…

High Energy Physics - Lattice · Physics 2022-04-07 Martin Hasenbusch

We measure chiral susceptibilities in the Coulomb phase of noncompact QED$_4$ in $8^4, 10^4$ and $12^4$ lattices. The MFA approach allows simulations in the chiral limit which are therefore free from arbitrary mass extrapolations. Using the…

High Energy Physics - Lattice · Physics 2009-10-28 V. Azcoiti , G. Di Carlo , A. Galante , A. F. Grillo , V. Laliena , C. Piedrafita

We study the $2$-component $\phi^4$ model on the simple cubic lattice in the presence of a cubic, or equivalently, a $\mathbb{D}_4$ invariant perturbation. To this end, we perform Monte Carlo simulations in conjunction with a finite size…

Statistical Mechanics · Physics 2025-10-23 Martin Hasenbusch

We present new results on the static qq-potential from high statistics simulations on 32^4 and smaller lattices, using the standard Wilson beta = 6.0, 6.4, and 6.8. Within our statistical errors we do not observe any finite size effects…

High Energy Physics - Lattice · Physics 2016-08-31 Gunnar S. Bali , Klaus Schilling

We examine SU(2) gauge theory in 3+1 dimensions at finite temperature in the vicinity of critical point. For various lattice sizes in time direction ($N_\tau=1,2,4,8$) we extract high precision values of the inverse critical coupling and…

High Energy Physics - Lattice · Physics 2008-11-26 Alexander Velytsky

We study the critical slowing down towards the continuum limit of lattice QCD simulations with Hybrid Monte Carlo type algorithms. In particular for the squared topological charge we find it to be very severe with an effective dynamical…

High Energy Physics - Lattice · Physics 2011-01-04 Stefan Schaefer , Rainer Sommer , Francesco Virotta

Using finite size scaling and histogram methods we obtain numerical results from lattice simulations indicating the logarithmic triviality of scalar quantum electrodynamics, even when the bare gauge coupling is chosen large. Simulations of…

High Energy Physics - Lattice · Physics 2019-08-17 M. Baig , H. Fort , S. Kim , J. B. Kogut , D. K. Sinclair

We study a generalized clock model on the simple cubic lattice. The parameter of the model can be tuned such that the amplitude of the leading correction to scaling vanishes. In the main part of the study we simulate the model with $Z_8$…

Statistical Mechanics · Physics 2020-01-09 Martin Hasenbusch

We present a determination of the curvature $\kappa$ of the chiral pseudocritical line from $N_f=2+1$ lattice QCD at the physical point obtained by adopting the Taylor expansion approach. Numerical simulations performed at three lattice…

High Energy Physics - Lattice · Physics 2019-02-20 Claudio Bonati , Massimo D'Elia , Francesco Negro , Francesco Sanfilippo , Kevin Zambello

We propose a new method to compute the running coupling constant of gauge theories on the lattice. We first give the definition of the running coupling in the new scheme using the Wilson loops in a finite volume, and explain how the running…

The 4D compact U(1) gauge theory has a well-established phase transition between a confining and a Coulomb phase. In this paper, we revisit this model using state-of-the-art Monte Carlo simulations on anisotropic lattices. We map out the…

High Energy Physics - Lattice · Physics 2024-04-25 Rafael C. Torres , Nuno Cardoso , Pedro Bicudo , Pedro Ribeiro , Paul McClarty

We establish the critical line of the one-component $\Phi^4$ (or Landau-Ginzburg) model on a simple four dimensional cubic lattice. Our study is performed in the framework of the non-perturbative renormalization group in the local potential…

Statistical Mechanics · Physics 2013-12-20 Jean-Michel Caillol

We report on the computation of the critical point of the deconfinement phase transition, critical indices and the string tension in the compact three dimensional U(1) lattice gauge theory at finite temperatures. The critical indices govern…

High Energy Physics - Lattice · Physics 2014-11-20 Oleg Borisenko , Roberto Fiore , Mario Gravina , Alessandro Papa

We calculate the vacuum polarization functions on the lattice using the overlap fermion formulation.By matching the lattice data at large momentum scales with the perturbative expansion supplemented by Operator Product Expansion (OPE), we…

High Energy Physics - Lattice · Physics 2019-08-13 E. Shintani , S. Aoki , T. W. Chiu , S. Hashimoto , T. H. Hsieh , T. Kaneko , H. Matsufuru , J. Noaki , T. Onogi , N. Yamada

We present high precision results on the static quark-antiquark-potential on 32^4 and smaller lattices, using the standard Wilson action at BETA = 6.0, 6.2, 6.4, and 6.8 on the Connection Machine CM-2. Within our statistical errors (1%) we…

High Energy Physics - Lattice · Physics 2009-10-22 G. S. Bali , K. Schilling

We establish the critical line of the one-component $\Phi^4$ (or Landau-Ginzburg) model on the simple cubic lattice in three dimensions. Our study is performed in the framework of the non-perturbative renormalization group in the local…

Statistical Mechanics · Physics 2015-06-05 Jean-Michel Caillol

Critical couplings and string tensions in SU(2) and SU(3) lattice gauge theory are calculated by two-lattice matching of RG block transformations. The transformations are of the potential moving type generating plaquette actions with large…

High Energy Physics - Lattice · Physics 2012-11-27 X. Cheng , E. T. Tomboulis