Lattice QCD and the Schwarz alternating procedure

Abstract

A numerical simulation algorithm for lattice QCD is described, in which the short- and long-distance effects of the sea quarks are treated separately. The algorithm can be regarded, to some extent, as an implementation at the quantum level of the classical Schwarz alternating procedure for the solution of elliptic partial differential equations. No numerical tests are reported here, but theoretical arguments suggest that the algorithm should work well also at small quark masses.

Plain TeX source, 20 pages, figures included

References in corpus (3)

• Light Hadron Spectrum and Quark Masses from Quenched Lattice QCD
• Evaluating the Fermionic Determinant of Dynamical Configurations
• Simulation of dynamical fermions with smeared links

Cited by in corpus (34)

• 2+1 Flavor Lattice QCD toward the Physical Point
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Transport Properties of the Quark-Gluon Plasma -- A Lattice QCD Perspective
• Schwarz-preconditioned HMC algorithm for two-flavour lattice QCD
• Light Hadron Masses from Lattice QCD
• Physical Point Simulation in 2+1 Flavor Lattice QCD
• Helium nuclei, deuteron and dineutron in 2+1 flavor lattice QCD
• Non-perturbative quark mass renormalization in two-flavor QCD
• On lattice actions for static quarks
• 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
• Hadronic vacuum polarization contribution to the muon $g-2$ with 2+1 flavor lattice QCD on a larger than (10 fm${)}^4$ lattice at the physical point
• Deflation acceleration of lattice QCD simulations
• Charm quark system at the physical point of 2+1 flavor lattice QCD
• Nucleon form factors on a large volume lattice near the physical point in 2+1 flavor QCD
• Two-flavor QCD simulation with exact chiral symmetry
• Lattice QCD and the anomalous magnetic moment of the muon
• Actions for dynamical fermion simulations: are we ready to go?
• QCD with light Wilson quarks on fine lattices (II): DD-HMC simulations and data analysis
• Status and Future Perspectives for Lattice Gauge Theory Calculations to the Exascale and Beyond
• Algorithms for Lattice QCD with Dynamical Fermions
• Discretization errors in the spectrum of the Hermitian Wilson-Dirac operator
• First-order restoration of SU(Nf) x SU(Nf) chiral symmetry with large Nf and Electroweak phase transition
• Electromagnetic form factors of the nucleon from $N_f=2+1$ lattice QCD
• Finite size effect on pseudoscalar meson sector in 2+1 flavor QCD at the physical point
• Modified Block BiCGSTAB for Lattice QCD
• Polynomial Filtered HMC -- an algorithm for lattice QCD with dynamical quarks
• Multi-level Monte Carlo computation of the hadronic vacuum polarization contribution to $(g_{\mu }-2)$
• Full QCD Algorithms towards the Chiral Limit
• Fermions as Global Correction: the QCD Case
• Object-oriented implementation of algebraic multi-grid solver for lattice QCD on SIMD architectures and GPU clusters
• Single flavour filtering for RHMC in BQCD
• Exploiting the hopping parameter expansion in the hybrid Monte Carlo (HMC) simulation of lattice QCD with two degenerate flavours of Wilson fermions
• Towards precision heavy flavour physics from lattice QCD