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Path Integral Monte Carlo simulations have been performed for U(1) lattice gauge theory in (2+1) dimensions on anisotropic lattices. We extractthe static quark potential, the string tension and the low-lying "glueball" spectrum.The…

High Energy Physics - Lattice · Physics 2009-11-07 Mushtaq Loan , Michael Brunner , Clare Sloggett , Chris Hamer

In this paper we show that the apparent failure of QCD lattice perturbation theory to account for Monte Carlo measurements of perturbative quantities results from choosing the bare lattice coupling constant as the expansion parameter. Using…

High Energy Physics - Lattice · Physics 2009-10-22 G. P. Lepage , P. B. Mackenzie

By using the lattice Monte-Carlo simulation, we investigate the finite temperature (T) chiral phase transition at color SU(3) gauge theories with various species of fundamental fermions, and discuss the signal of the (pre-)conformality at…

High Energy Physics - Lattice · Physics 2015-06-11 Kohtaroh Miura

We obtain nonperturbative results on the sine-Gordon model using the lattice field technique. In particular, we employ the Fourier accelerated hybrid Monte Carlo algorithm for our studies. We find the critical temperature of the theory…

High Energy Physics - Lattice · Physics 2020-04-08 James Flamino , Joel Giedt

We present results for the mass spectrum of $c{\bar c}$ mesons simulated on anisotropic lattices where the temporal spacing $a_t$ is only half of the spatial spacing $a_s$. The lattice QCD action is the Wilson gauge action plus the…

High Energy Physics - Lattice · Physics 2009-10-31 Ping Chen

This lecture provides an introduction to quantum chromodynamics (QCD) on the lattice. The continuum limit and Monte Carlo simulations are briefly discussed. Different facets of QCD are nicely exhibited by the potential of a static quark and…

High Energy Physics - Lattice · Physics 2017-06-02 Francesco Knechtli

Hybrid Monte Carlo (HMC) simulations of lattice gauge theories with fermionic matter rely on the invertibility of the lattice Dirac operator. Near-zero modes of the latter can therefore significantly slow down the update algorithm and cause…

High Energy Physics - Lattice · Physics 2024-01-11 Tobias Rindlisbacher , Kari Rummukainen , Ahmed Salami

In the last century the non-perturbative regularization of chiral fermions was a long-standing problem. We review how this problem was finally overcome by the formulation of a modified but exact form of chiral symmetry on the lattice. This…

High Energy Physics - Lattice · Physics 2011-09-28 Wolfgang Bietenholz

First results of a recently started simulation of full QCD with two flavours of sea-quarks at a coupling of $\beta = 5.6$ on a $16^3 \times 32$ lattice are presented. Emphasis is laid on the statistical significance that can be achieved by…

High Energy Physics - Lattice · Physics 2019-08-17 SESAM-Collaboration , : , U. Glässner , S. Güsken , H. Hoeber , Th. Lippert , X. Luo , G. Ritzenhöfer , K. Schilling , G. Siegert

Building on recent solutions of the fermion sign problem for specific models we present two continuous-time quantum Monte Carlo methods for efficient simulation of mass-imbalanced Hubbard models on bipartite lattices at half-filling. For…

Strongly Correlated Electrons · Physics 2015-12-18 Ye-Hua Liu , Lei Wang

Lattice QCD using fermions whose Dirac operator obeys the Ginsparg-Wilson relation, is perhaps the best known formulation of QCD with a finite cutoff. It reproduces all the low energy QCD phenomenology associated with chiral symmetry at…

High Energy Physics - Lattice · Physics 2016-08-25 Shailesh Chandrasekharan

We test here our recently introduced new lattice method for the $\beta$-function defined over infinite Euclidean space-time in the continuum from scale changes generated by infinitesimal or finite steps of the renormalized gauge coupling on…

High Energy Physics - Lattice · Physics 2023-01-18 Chik Him Wong , Szabolcs Borsanyi , Zoltan Fodor , Kieran Holland , Julius Kuti

Quantum chromodynamics (QCD) at finite temperature (T), baryon chemical potential (\muB) and isospin chemical potential (\muI) is studied in the strong coupling limit on a lattice with staggered fermions. With the use of large dimensional…

High Energy Physics - Phenomenology · Physics 2009-11-10 Yusuke Nishida

We have been studying QCD with 2 flavours of colour-sextet quarks as a candidate walking-Technicolor theory using lattice-QCD simulations. The evolution of the coupling constant with lattice spacing is measured at the finite-temperature…

High Energy Physics - Lattice · Physics 2014-07-23 J. B. Kogut , D. K. Sinclair

Monte Carlo (MC) simulations of lattice models are a widely used way to compute thermodynamic properties of substitutional alloys. A limitation to their more widespread use is the difficulty of driving a MC simulation in order to obtain the…

Statistical Mechanics · Physics 2009-11-07 A. van de Walle , M. Asta

We report lattice simulations of $\phi^4_2$ and $O(N)\,\phi^4$ models, performed by means of a Monte Carlo method based on the all-order strong coupling expansion (worm algorithm). The investigation of the non-perturbative features of the…

High Energy Physics - Lattice · Physics 2016-12-16 Barbara De Palma , Marco Guagnelli

Numerical simulations of full QCD on anisotropic lattices provide a convenient way to study QCD thermodynamics with fixed physics scales and reduced lattice spacing errors. We report results from calculations with two flavors of dynamical…

High Energy Physics - Lattice · Physics 2010-11-15 Ludmila Levkova , Thomas Manke , Robert Mawhinney

In this paper we study the properties of QCD at nonzero chiral density $\rho_5$, which is introduced through chiral chemical potential $\mu_5$. The study is performed within lattice simulation of QCD with dynamical rooted staggered…

High Energy Physics - Lattice · Physics 2019-10-14 N. Yu. Astrakhantsev , V. V. Braguta , A. Yu. Kotov , D. D. Kuznedelev , A. A. Nikolaev

$SU(N_c)$ lattice gauge theories with $N_f$ flavors of massless staggered fermions are considered at high quark chemical potential $\mu$ and any temperature $T$. In the strong coupling regime (sufficiently small $\beta$) they have been…

High Energy Physics - Lattice · Physics 2015-11-13 E. T. Tomboulis

We present in detail two variants of the lattice Monte Carlo method aimed at tackling systems in external trapping potentials: a uniform-lattice approach with hard-wall boundary conditions, and a non-uniform Gauss-Hermite lattice approach.…

Quantum Gases · Physics 2016-09-20 Casey E. Berger , Joaquín E. Drut , William J. Porter
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