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We present a polynomial Hybrid Monte Carlo (PHMC) algorithm as an exact simulation algorithm with dynamical Kogut-Susskind fermions. The algorithm uses a Hermitian polynomial approximation for the fractional power of the KS fermion matrix.…

We show how the integrators used for the molecular dynamics step of the Hybrid Monte Carlo algorithm can be further improved. These integrators not only approximately conserve some Hamiltonian $H$ but conserve exactly a nearby shadow…

High Energy Physics - Lattice · Physics 2015-05-30 M. A. Clark , Bálint Joó , A. D. Kennedy , P. J. Silva

We develop an implementation for a recently proposed Noisy Monte Carlo approach to the simulation of lattice QCD with dynamical fermions by incorporating the full fermion determinant directly. Our algorithm uses a quenched gauge field…

High Energy Physics - Lattice · Physics 2009-11-07 B. Joo , I. Horvath , K. F. Liu

We describe recent results obtained as part of the High Energy Monte Carlo Grand Challenge (HEMCGC) project concerning the behaviour of lattice QCD with light dynamical Wilson quarks. We show that it is possible to reach regions of…

High Energy Physics - Lattice · Physics 2007-05-23 A. D. Kennedy , R. G. Edwards

We consider the efficient construction of polynomial lattice rules, which are special cases of so-called quasi-Monte Carlo (QMC) rules. These are of particular interest for the approximate computation of multivariate integrals where the…

Numerical Analysis · Mathematics 2020-08-21 Adrian Ebert , Peter Kritzer , Onyekachi Osisiogu , Tetiana Stepaniuk

We discuss a program suite for simulating Quantum Chromodynamics on a 4-dimensional space-time lattice. The basic Hybrid Monte Carlo algorithm is introduced and a number of algorithmic improvements are explained. We then discuss the…

High Energy Physics - Lattice · Physics 2015-05-13 K. Jansen , C. Urbach

We present an OpenCL-based Lattice QCD application using a heatbath algorithm for the pure gauge case and Wilson fermions in the twisted mass formulation. The implementation is platform independent and can be used on AMD or NVIDIA GPUs, as…

High Energy Physics - Lattice · Physics 2013-09-09 Matthias Bach , Volker Lindenstruth , Owe Philipsen , Christopher Pinke

We apply a recent proposal to speed up the Hybrid-Monte-Carlo simulation of systems with dynamical fermions to two flavor QCD with clover-improvement. For our smallest quark masses we see a speed-up of more than a factor of two compared…

High Energy Physics - Lattice · Physics 2009-11-07 M. Hasenbusch , K. Jansen

We present a method for direct hybrid Monte Carlo simulation of graphene on the hexagonal lattice. We compare the results of the simulation with exact results for a unit hexagonal cell system, where the Hamiltonian can be solved…

High Energy Physics - Lattice · Physics 2011-01-27 R. C. Brower , C. Rebbi , D. Schaich

We present a practical strategy to optimize a set of Hybrid Monte Carlo parameters in simulations of QCD and QCD-like theories. We specialize to the case of mass-preconditioning, with multiple time-step Omelyan integrators. Starting from…

High Energy Physics - Lattice · Physics 2016-10-11 Andrea Bussone , Michele Della Morte , Vincent Drach , Martin Hansen , Ari Hietanen , Jarno Rantaharju , Claudio Pica

We present the first tests and results from a study of QCD with two flavours of dynamical Wilson fermions using the Hybrid Monte Carlo Algorithm (HMCA) on APE100 machines.

High Energy Physics - Lattice · Physics 2015-06-25 S. Antonelli , M. Bellacci , A. Donini , R. Sarno

We propose a modification of the Hybrid-Monte-Carlo algorithm that allows for a larger step-size of the integration scheme at constant acceptance rate. The key ingredient is that the pseudo-fermion action is split into two parts. We test…

High Energy Physics - Lattice · Physics 2009-11-07 Martin Hasenbusch

We present a modification to the setup algorithm for the multigrid preconditioner of Wilson fermions in lattice QCD. A larger number of test vectors than that used in conventional multigrid is generated by the smoother. This set of test…

High Energy Physics - Lattice · Physics 2025-02-06 Travis Whyte , Andreas Stathopoulos , Eloy Romero

This is the write-up of three lectures on algorithms for dynamical fermions that were given at the ILFTN workshop 'Perspectives in Lattice QCD' in Nara during November 2005. The first lecture is on the fundamentals of Markov Chain Monte…

High Energy Physics - Lattice · Physics 2012-02-24 A. D. Kennedy

The Hybrid Monte Carlo algorithm is adapted to the simulation of a system of classical degrees of freedom coupled to non self-interacting lattices fermions. The diagonalization of the Hamiltonian matrix is avoided by introducing a…

Strongly Correlated Electrons · Physics 2009-10-31 J. L. Alonso , L. A. Fernandez , F. Guinea , V. Laliena , V. Martin-Mayor

We report on a study of 2+1 flavor lattice QCD with the $O(a)$-improved Wilson quarks on a $16^3\times 32$ lattice at the lattice spacing $1/a\approx 2$GeV employing Luescher's domain-decomposed HMC(LDDHMC) algorithm. This is dedicated to a…

High Energy Physics - Lattice · Physics 2012-08-27 CS Collaboration , Y. Kuramashi , S. Aoki , K. -I. Ishikawa , T. Ishikawa , N. Ishizuka , K. Kanaya , N. Tsutsui , M. Okawa , Y. Taniguchi , A. Ukawa , T. Yoshie

Standard sampling algorithms for lattice QCD suffer from topology freezing (or critical slowing down) when approaching the continuum limit, thus leading to poor sampling of the distinct topological sectors. I will present a modified…

High Energy Physics - Lattice · Physics 2021-11-11 David Albandea , Pilar Hernández , Alberto Ramos , Fernando Romero-López

We demonstrate that substantial progress can be achieved in the study of the phase structure of 4-dimensional compact QED by a joint use of hybrid Monte Carlo and multicanonical algorithms, through an efficient parallel implementation. This…

High Energy Physics - Lattice · Physics 2015-06-25 G. Arnold , Th. Lippert , K. Schilling

We publish BQCD as free software under the GNU General Public License. BQCD is a Hybrid Monte-Carlo program that simulates lattice QCD with dynamical Wilson fermions. It is one of the main production programs of the QCDSF collaboration. The…

High Energy Physics - Lattice · Physics 2011-03-31 Yoshifumi Nakamura , Hinnerk Stüben

We discuss the implementation of a Sheikholeslami-Wohlert term for simulations of lattice QCD with dynamical Wilson fermions as required by Symanzik's improvement program. We show that for the Hybrid Monte Carlo or Kramers equation…

High Energy Physics - Lattice · Physics 2009-10-28 Karl Jansen , Chuan Liu