Deflation acceleration of lattice QCD simulations

Abstract

Close to the chiral limit, many calculations in numerical lattice QCD can potentially be accelerated using low-mode deflation techniques. In this paper it is shown that the recently introduced domain-decomposed deflation subspaces can be propagated along the field trajectories generated by the Hybrid Monte Carlo (HMC) algorithm with a modest effort. The quark forces that drive the simulation may then be computed using a deflation-accelerated solver for the lattice Dirac equation. As a consequence, the computer time required for the simulations is significantly reduced and an improved scaling behaviour of the simulation algorithm with respect to the quark mass is achieved.

Plain TeX source, 15 pages, 2 figures included

References in corpus (25)

• Chiral symmetry and O(a) improvement in lattice QCD
• Observation of String Breaking in QCD
• Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
• Practical all-to-all propagators for lattice QCD
• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• O(a) improvement of lattice QCD with two flavors of Wilson quarks
• Schwarz-preconditioned HMC algorithm for two-flavour lattice QCD
• HMC algorithm with multiple time scale integration and mass preconditioning
• Dynamical Twisted Mass Fermions with Light Quarks
• Speeding up Lattice QCD simulations with clover-improved Wilson Fermions
• Numerical techniques for lattice QCD in the $\epsilon$--regime
• Local coherence and deflation of the low quark modes in lattice QCD
• Stability of lattice QCD simulations and the thermodynamic limit
• 2+1 flavor domain wall QCD on a (2 fm)^3 lattice: light meson spectroscopy with Ls = 16
• On the low fermionic eigenmode dominance in QCD on the lattice
• Low-energy couplings of QCD from current correlators near the chiral limit
• Improving meson two-point functions in lattice QCD
• Solution of the Dirac equation in lattice QCD using a domain decomposition method
• QCD with light Wilson quarks on fine lattices (I): first experiences and physics results
• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• Chronological Inversion Method for the Dirac Matrix in Hybrid Monte Carlo
• Two-flavor lattice QCD in the epsilon-regime and chiral Random Matrix Theory
• Lattice QCD and the Schwarz alternating procedure
• Simulating the Schroedinger functional with two pseudo-fermions
• Progress on lattice QCD algorithms

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