AN EFFICIENT ALGORITHM FOR CALCULATING THE QUARK PROPAGATORS USING MIGDAL-KADANOFF TRANSFORMATION

Authors
VYAS V
Citation
V. Vyas, AN EFFICIENT ALGORITHM FOR CALCULATING THE QUARK PROPAGATORS USING MIGDAL-KADANOFF TRANSFORMATION, Physics letters. Section B, 308(3-4), 1993, pp. 334-339
Citations number
29
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
308
Issue
3-4
Year of publication
1993
Pages
334 - 339
Database
ISI
SICI code
0370-2693(1993)308:3-4<334:AEAFCT>2.0.ZU;2-M
Abstract
We present the first implementation of a multigrid algorithm for calcu lating quark propagators for lattice QCD. The algorithm is based on a simple modification of the Migdal-Kadanoff transformation. The resulti ng algorithm is tested for Wilson fermions in four dimensions coupled to SU (3) gauge fields generated at beta = 6.0. The algorithm is found to be faster by a factor of two, in calculating the propagators of th e light quarks, when compared with either the minimum residue algorith m or the conjugate gradient algorithm.