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Title: Loop representations of the quark determinant in lattice QCD

Abstract

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}

Authors:
;  [1];  [2];  [3]
  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)
Publication Date:
OSTI Identifier:
362731
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 60; Journal Issue: 5; Other Information: PBD: Sep 1999
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; QUANTUM CHROMODYNAMICS; LATTICE FIELD THEORY; WILSON LOOP; QUARKS; SU-3 GROUPS

Citation Formats

Duncan, A., Roskies, R., Eichten, E., and Thacker, H. Loop representations of the quark determinant in lattice QCD. United States: N. p., 1999. Web. doi:10.1103/PhysRevD.60.054505.
Duncan, A., Roskies, R., Eichten, E., & Thacker, H. Loop representations of the quark determinant in lattice QCD. United States. doi:10.1103/PhysRevD.60.054505.
Duncan, A., Roskies, R., Eichten, E., and Thacker, H. Wed . "Loop representations of the quark determinant in lattice QCD". United States. doi:10.1103/PhysRevD.60.054505.
@article{osti_362731,
title = {Loop representations of the quark determinant in lattice QCD},
author = {Duncan, A. and Roskies, R. and Eichten, E. and Thacker, H.},
abstractNote = {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}},
doi = {10.1103/PhysRevD.60.054505},
journal = {Physical Review, D},
number = 5,
volume = 60,
place = {United States},
year = {1999},
month = {9}
}