Schwarz-preconditioned HMC algorithm for two-flavour lattice QCD
Martin L\"uscher
TL;DR
This paper introduces a Schwarz-preconditioned HMC algorithm that significantly improves the efficiency of simulating two-flavour lattice QCD with Wilson quarks, especially at small quark masses.
Contribution
The paper presents a novel combination of Schwarz preconditioning with HMC, demonstrating enhanced computational efficiency for lattice QCD simulations.
Findings
Efficient simulation of two-flavour lattice QCD with Wilson quarks.
Successful tests on large lattices up to 32x24x24x24.
Effective at small quark masses (~21 MeV).
Abstract
The combination of a non-overlapping Schwarz preconditioner and the Hybrid Monte Carlo (HMC) algorithm is shown to yield an efficient simulation algorithm for two-flavour lattice QCD with Wilson quarks. Extensive tests are performed, on lattices of size up to 32x24x24x24, with lattice spacings a~0.08 fm and at bare current-quark masses as low as 21 MeV.
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