Loop representations of the quark determinant in lattice QCD

Journal Article · Wed Sep 01 00:00:00 EDT 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.60.054505· OSTI ID:362731

Duncan, A; Roskies, R ^[1]; Eichten, E ^[2]; Thacker, H ^[3]

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1. Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15620 (United States)
2. Fermilab, P.O. Box 500, Batavia, Illinois 60510 (United States)
3. Department of Physics, University of Virginia, Charlottesville, Virginia 22901 (United States)

The modeling 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 sizable ensembles of SU(3) gauge fields at {beta}=5.7 on 6{sup 4}, 8{sup 4} and 10{sup 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{emdash}specifically, Lanczos versus stochastic approaches{emdash}for extracting the quark determinant on an ensemble of configurations. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 362731
• Journal Information: Physical Review, D, Vol. 60, Issue 5; Other Information: PBD: Sep 1999
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
QUANTUM CHROMODYNAMICS
LATTICE FIELD THEORY
WILSON LOOP
QUARKS
SU-3 GROUPS