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@ARTICLE{Attig:43454,
author = {Attig, N. and Lippert, T. and Neff, H. and Negele, J. and
Schilling, K.},
title = {{G}iant eigenproblems from lattice gauge theory on {CRAY}
{T}3{E} systems},
journal = {Computer physics communications},
volume = {142},
issn = {0010-4655},
address = {Amsterdam},
publisher = {North Holland Publ. Co.},
reportid = {PreJuSER-43454},
pages = {196 - 200},
year = {2001},
note = {Record converted from VDB: 12.11.2012},
abstract = {The determination of physical properties of flavor singlet
objects like the eta' meson by computer simulation requires
the computation of functionals of the inverse fermionic
matrix M-1. So far, only stochastic methods could cope with
the enormous size of M. In this paper, we introduce an
alternative approach which is based on the Computation of a
subset of low-lying eigenmodes of the fermionic matrix. The
high quality of this 'truncated eigenmode approximation'
(TEA) is demonstrated by comparison with the pion
correlator, a flavor octet quantity, which is readily
computable through a linear system of equations. We show
that TEA can successfully approximate the flavor singlet
eta' correlator. We find that the systematic error of the
method is tolerable. As the determination of the chosen
subset of 300 eigenmodes requires about 3.5 Tflops-hours
CPU-time per canonical ensemble and at least 15 GBytes of
memory, the power of high-end supercomputers like the CRAY
T3E is indispensable. (C) 2001 Elsevier Science B.V. All
rights reserved.},
keywords = {J (WoSType)},
cin = {ZAM},
ddc = {004},
cid = {I:(DE-Juel1)VDB62},
pnm = {Programmiermethoden und Software-Werkzeuge},
pid = {G:(DE-Juel1)FUEK106},
shelfmark = {Computer Science, Interdisciplinary Applications / Physics,
Mathematical},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000173099200038},
doi = {10.1016/S0010-4655(01)00329-0},
url = {https://juser.fz-juelich.de/record/43454},
}