Accelerating Staggered Fermion Dynamics with the Rational Hybrid Monte Carlo (RHMC) Algorithm

Abstract

Improved staggered fermion formulations are a popular choice for lattice QCD calculations. Historically, the algorithm used for such calculations has been the inexact R algorithm, which has systematic errors that only vanish as the square of the integration step-size. We describe how the exact Rational Hybrid Monte Carlo (RHMC) algorithm may be used in this context, and show that for parameters corresponding to current state-of-the-art computations it leads to a factor of approximately seven decrease in cost as well as having no step-size errors.

4 pages, 2 figures, 1 table

References in corpus (10)

• Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
• Variants of fattening and flavor symmetry restoration
• HMC algorithm with multiple time scale integration and mass preconditioning
• Testing and tuning symplectic integrators for Hybrid Monte Carlo algorithm in lattice QCD
• Many Masses on One Stroke: Economic Computation of Quark Propagators
• Exact 2+1 flavour RHMC simulations
• A New Exact Method for Dynamical Fermion Computations with Non-Local Actions
• A Polynomial Hybrid Monte Carlo Algorithm
• Fast Fermion Monte Carlo
• Accelerating Fermionic Molecular Dynamics

Cited by in corpus (43)

• FLAG Review 2019
• FLAG Review 2021
• Ab initio calculation of the neutron-proton mass difference
• Lattice QCD ensembles with four flavors of highly improved staggered quarks
• Scaling studies of QCD with the dynamical HISQ action
• Curvature of the chiral pseudo-critical line in QCD: continuum extrapolated results
• Curvature of the pseudocritical line in QCD: Taylor expansion matches analytic continuation
• tmLQCD: a program suite to simulate Wilson Twisted mass Lattice QCD
• Higher order quark number fluctuations via imaginary chemical potentials in $N_f=2+1$ QCD
• QCD phase diagram in a magnetic background for different values of the pion mass
• Magnetic field effects on the static quark potential at zero and finite temperature
• FLAG Review 2024
• Lattice study of electromagnetic conductivity of quark-gluon plasma in external magnetic field
• Topology in full QCD at high temperature: a multicanonical approach
• Curvature of the chiral pseudo-critical line in QCD
• Glueball mass measurements from improved staggered fermion simulations
• Localization and chiral symmetry in 2+1 flavor domain wall QCD
• A study of the eta and eta' mesons with improved staggered fermions
• Topological susceptibility of $N_f=2+1$ QCD from staggered fermions spectral projectors at high temperatures
• Lattice QCD at finite temperature and density in the phase-quenched approximation
• Shadow Hamiltonians, Poisson Brackets, and Gauge Theories
• QCD simulations with staggered fermions on GPUs
• Thermodynamics of lattice QCD with 2 sextet quarks on N_t=8 lattices
• Effects of a strong magnetic field on the QCD flux tube
• Design and optimization of a portable LQCD Monte Carlo code using OpenACC
• The effect of stout smearing on the phase diagram from multiparameter reweigthing in lattice QCD
• Scale setting for large-$N$ SUSY Yang-Mills on the lattice
• Portable multi-node LQCD Monte Carlo simulations using OpenACC
• Thermodynamics of lattice QCD with 3 flavours of colour-sextet quarks
• Asymptotics of Fixed Point Distributions for Inexact Monte Carlo Algorithms
• Dependence of the static quark free energy on ${\mu }_B$ and the crossover temperature of $N_f=2+1$ QCD
• The chiral phase transition for lattice QCD with 2 colour-sextet quarks
• Application Experiences on a GPU-Accelerated Arm-based HPC Testbed
• Separating the scales of confinement and chiral-symmetry breaking in lattice QCD with fundamental quarks
• Thermodynamics of lattice QCD with 3 flavours of colour-sextet quarks II: N_t=6 and N_t=8
• Study of the effects of external imaginary electric field and chiral chemical potential on quark matter
• Nature of the chiral phase transition of two flavour QCD from imaginary chemical potential with HISQ fermions
• Phase Quenched Lattice QCD at Finite Density and Temperature
• Recent algorithm and machine developments for lattice QCD
• Locations of Roberge-Weiss transition endpoints in lattice QCD with $N_f=2$ improved KS quarks
• CL2QCD - Lattice QCD based on OpenCL
• Split of the pseudo-critical temperatures of chiral and confine/deconfine transitions by temperature gradient
• Confinement and Chiral Symmetry, a Lattice QCD test of AdS/QCD