2007/06/30 by Martin Lüscher · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.1088/1126-6708/2007/07/081
published as JHEP0707:081,2007 · Plain TeX, 23 pages, 4 figures included; minor text modifications; version published in JHEP
arxiv created 2007/07/30 · openalex publication_date 2007/07/30 · arxiv updated 2009/12/01 · openalex created_date 2017/03/16 · openalex updated_date 2026/07/29
The spontaneous breaking of chiral symmetry in QCD is known to be linked to a non-zero density of eigenvalues of the massless Dirac operator near the origin. Numerical studies of two-flavour QCD now suggest that the low quark modes are locally coherent to a certain extent. As a consequence, the modes can be simultaneously deflated, using local projectors, with a total computational effort proportional to the lattice volume (rather than its square). Deflation has potentially many uses in lattice QCD. The technique is here worked out for the case of quark propagator calculations, where large speed-up factors and a flat scaling behaviour with respect to the quark mass are achieved.