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000043454 084__ $$2WoS$$aPhysics, Mathematical
000043454 1001_ $$0P:(DE-Juel1)132045$$aAttig, N.$$b0$$uFZJ
000043454 245__ $$aGiant eigenproblems from lattice gauge theory on CRAY T3E systems
000043454 260__ $$aAmsterdam$$bNorth Holland Publ. Co.$$c2001
000043454 300__ $$a196 - 200
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000043454 440_0 $$01439$$aComputer Physics Communications$$v142$$x0010-4655
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000043454 520__ $$aThe 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.
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000043454 65320 $$2Author$$ameson mass calculations
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000043454 7001_ $$0P:(DE-Juel1)132179$$aLippert, T.$$b1$$ufzj
000043454 7001_ $$0P:(DE-HGF)0$$aNeff, H.$$b2
000043454 7001_ $$0P:(DE-HGF)0$$aNegele, J.$$b3
000043454 7001_ $$0P:(DE-HGF)0$$aSchilling, K.$$b4
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