Heavy quark propagators with improved precision using domain decomposition

Details Heavy quark propagators with improved precision using domain decomposition Heavy quark propagators with improved precision using domain decomposition

2005-08-25

arxiv.org/abs/hep-lat/0508023v1

PoS LAT2005 (2005) 204

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, 3 figures, poster presented at Lattice 2005 (heavy quarks)

Scientific paper

We show that, in four dimensions, the quark propagator is affected by round-off errors for large values of the quark mass am and the time extent T/a even when double precision arithmetics is used to compute it. We introduce a definition of the solver residual which is sensitive to the problem and apply a Schwarz alternating procedure to compute the propagator in a number of sub-domains in the time direction. The effectiveness of the method is demonstrated in a numerical computation of the free one-dimensional Dirac propagator.

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