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Title: Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator

Abstract

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 Hamiltonian H-tilde. This property allows for a new tuning method of the molecular dynamics integrator and also allows for a new class of integrators (force-gradient integrators) which is expected to reduce significantly the computational cost of future large-scale gauge field ensemble generation.

Authors:
 [1];  [2];  [3];  [4]
  1. Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138 (United States)
  2. Jefferson Lab, 12000 Jefferson Avenue, Newport News, Virginia 23606 (United States)
  3. Tait Institute and SUPA, School of Physics and Astronomy, University of Edinburgh, Edinburgh EH9 3JZ, Scotland (United Kingdom)
  4. Centro de Fisica Computacional, Universidade de Coimbra (Portugal)
Publication Date:
OSTI Identifier:
21607738
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 84; Journal Issue: 7; Other Information: DOI: 10.1103/PhysRevD.84.071502; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGORITHMS; GAUGE INVARIANCE; HAMILTONIANS; LATTICE FIELD THEORY; MOLECULAR DYNAMICS METHOD; MONTE CARLO METHOD; QUANTUM CHROMODYNAMICS; SIMULATION; CALCULATION METHODS; CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; INVARIANCE PRINCIPLES; MATHEMATICAL LOGIC; MATHEMATICAL OPERATORS; QUANTUM FIELD THEORY; QUANTUM OPERATORS

Citation Formats

Clark, M. A., Joo, Balint, Kennedy, A. D., and Silva, P. J. Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.84.071502.
Clark, M. A., Joo, Balint, Kennedy, A. D., & Silva, P. J. Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator. United States. doi:10.1103/PHYSREVD.84.071502.
Clark, M. A., Joo, Balint, Kennedy, A. D., and Silva, P. J. Sat . "Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator". United States. doi:10.1103/PHYSREVD.84.071502.
@article{osti_21607738,
title = {Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator},
author = {Clark, M. A. and Joo, Balint and Kennedy, A. D. and Silva, P. J.},
abstractNote = {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 Hamiltonian H-tilde. This property allows for a new tuning method of the molecular dynamics integrator and also allows for a new class of integrators (force-gradient integrators) which is expected to reduce significantly the computational cost of future large-scale gauge field ensemble generation.},
doi = {10.1103/PHYSREVD.84.071502},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 7,
volume = 84,
place = {United States},
year = {2011},
month = {10}
}