English

Heavy quark propagators with improved precision using domain decomposition

High Energy Physics - Lattice 2007-05-23 v1

Abstract

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.

Cite

@article{arxiv.hep-lat/0508023,
  title  = {Heavy quark propagators with improved precision using domain decomposition},
  author = {A. Juttner and M. Della Morte},
  journal= {arXiv preprint arXiv:hep-lat/0508023},
  year   = {2007}
}

Comments

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