Heavy quark propagators with improved precision using domain decomposition

A. Juttner, M. Della Morte

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

Resumé

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.
OriginalsprogUdefineret/Ukendt
TidsskriftPoS LAT
StatusUdgivet - 25. aug. 2005

Bibliografisk note

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

Emneord

  • hep-lat

Citer dette

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Heavy quark propagators with improved precision using domain decomposition. / Juttner, A.; Morte, M. Della.

I: PoS LAT, 25.08.2005.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

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AU - Juttner, A.

AU - Morte, M. Della

N1 - 6 pages, 3 figures, poster presented at Lattice 2005 (heavy quarks)

PY - 2005/8/25

Y1 - 2005/8/25

N2 - 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.

AB - 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.

KW - hep-lat

M3 - Tidsskriftartikel

JO - PoS LAT

JF - PoS LAT

ER -