Instability in the molecular dynamics step of a hybrid Monte Carlo algorithm in dynamical fermion lattice QCD simulations

2000/05/26 by Balint Joo, Bálint Joó, Brian Pendleton +11 · 5 citations
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #hep-lat

paper · pdf · doi:10.1103/physrevd.62.114501

published as Phys.Rev. D62 (2000) 114501 · RevTeX, Some results here were presented at Vielat 99, Vienna, Austria, Sept 1999 22 Pages, 10 figures, to be submitted to PRD

arxiv created 2000/05/26 · openalex publication_date 2000/10/17 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate instability and reversibility within hybrid Monte Carlo simulations using a nonperturbatively improved Wilson action. We demonstrate the onset of instability as tolerance parameters and molecular dynamics step sizes are varied. We compare these findings with theoretical expectations and present limits on simulation parameters within which a stable and reversible algorithm is obtained for physically relevant simulations. Results of optimization experiments with respect to tolerance parameters are also presented.

Citations

• Equation of State Calculations by Fast Computing Machines

Cited by

• Two-flavor QCD simulation with exact chiral symmetry
• Improved Wilson QCD simulations with light quark masses
• Algorithms for Lattice QCD with Dynamical Fermions
• Exploring the HMC trajectory-length dependence of autocorrelation times in lattice QCD
• Suppressing dislocations in normalized hypercubic smearing