INVERSION OF THE FERMION MATRIX IN LATTICE QCD BY MEANS OF PARALLEL-TRANSPORTED MULTIGRID (PTMG)

P. G. Lauwers and T. Wittlich
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P. G. Lauwers: German National Research Center for Computing Science (GMD), Institute I1.T, P.O. Box 1316, Schloβ Birlinghoven, W-5205 Sankt Augustin, Germany
T. Wittlich: Physikalisches Institut der Universität Bonn, Nuβallee 12, W-5300 Bonn 1, Germany

International Journal of Modern Physics C (IJMPC), 1993, vol. 04, issue 03, 609-620

Abstract: The standard PTMG method, invented and tested for the inversion of the fermion matrix (Dirac-operator) in the case ofU(1)andSU(2)lattice gauge theories with staggered fermions, has now been generalized toSU(3). A crucial ingredient of the new algorithm is the waySU(3)link elements are averaged in the generation of the coarse grid link elements. Numerical results are presented for the two-dimensional case. For128 × 128lattices and physically relevant values of the coupling constant β and of the quark massmq, the new algorithm is an order of magnitude faster in CPU time than its leading competitor, the Conjugate-Gradient algorithm.

Keywords: Lattice Gauge Theory; Quantum Chromodynamics; Fermion Matrix; Dynamical Germions (search for similar items in EconPapers)
Date: 1993
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DOI: 10.1142/S0129183193000586

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