Loop Representations of the Quark Determinant in Lattice QCD

Details Loop Representations of the Quark Determinant in Lattice QCD Loop Representations of the Quark Determinant in Lattice QCD

1999-02-10

arxiv.org/abs/hep-lat/9902015v1

Phys.Rev. D60 (1999) 054505

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages, LaTeX

Scientific paper

10.1103/PhysRevD.60.054505

The modelling of the ultraviolet contributions to the quark determinant in lattice QCD in terms of a small number of Wilson loops is examined. Complete Dirac spectra are obtained for sizeable ensembles of SU(3) gauge fields at $\beta$=5.7 on 6$^4$, 8$^4$, and 10$^4$ lattices allowing for the first time a detailed study of the volume dependence of the effective loop action generating the quark determinant. The connection to the hopping parameter expansion is examined in the heavy quark limit. We compare the efficiency and accuracy of various methods- specifically, Lanczos versus stochastic approaches- for extracting the quark determinant on an ensemble of configurations.

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