Local coherence and deflation of the low quark modes in lattice QCD

Details Local coherence and deflation of the low quark modes in lattice QCD Local coherence and deflation of the low quark modes in lattice QCD

2007-06-15

arxiv.org/abs/0706.2298v4

JHEP0707:081,2007

Physics

High Energy Physics

High Energy Physics - Lattice

Plain TeX, 23 pages, 4 figures included; minor text modifications; version published in JHEP

Scientific paper

10.1088/1126-6708/2007/07/081

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.

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