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

被引:6
作者
LAUWERS, PG
WITTLICH, T
机构
[1] GERMAN NATL RES CTR COMP SCI,INST I1 T,W-5205 ST AUGUSTIN,GERMANY
[2] UNIV BONN,INST PHYS,W-5300 BONN 1,GERMANY
来源
INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS | 1993年 / 4卷 / 03期
关键词
LATTICE GAUGE THEORY; QUANTUM CHROMODYNAMICS; FERMION MATRIX; DYNAMICAL GERMIONS;
D O I
10.1142/S0129183193000586
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
The standard PTMG method, invented and tested for the inversion of the fermion matrix (Dirac-operator) in the case of U(1) and SU(2) lattice gauge theories with staggered fermions, has now been generalized to SU(3). A crucial ingredient of the new algorithm is the way SU(3) link elements are averaged in the generation of the coarse grid link elements. Numerical results are presented for the two-dimensional case. For 128 x 128 lattices and physically relevant values of the coupling constant beta and of the quark mass m(q), the new algorithm is an order of magnitude faster in CPU time than its leading competitor, the Conjugate-Gradient algorithm.
引用
收藏
页码:609 / 620
页数:12
相关论文
共 25 条
[1]   THE FERMIONIC MATRIX, INSTANTONS, ZERO MODES AND MULTIGRID [J].
BENAV, R ;
BRANDT, A ;
SOLOMON, S .
NUCLEAR PHYSICS B, 1990, 329 (01) :193-204
[2]   FERMION SIMULATIONS USING PARALLEL TRANSPORTED MULTIGRID [J].
BENAV, R ;
BRANDT, A ;
HARMATZ, M ;
KATZNELSON, E ;
LAUWERS, PG ;
SOLOMON, S ;
WOLOWESKY, K .
PHYSICS LETTERS B, 1991, 253 (1-2) :185-192
[3]  
BENAV R, 1992, GMD674 ARB PAP
[4]  
Brandt A., 1988, MULTIGRID METHODS TH, P35
[5]   PROJECTIVE MULTIGRID FOR WILSON FERMIONS [J].
BROWER, RC ;
EDWARDS, RG ;
REBBI, C ;
VICARI, E .
NUCLEAR PHYSICS B, 1991, 366 (03) :689-705
[6]   NON-ABELIAN PROJECTIVE MULTIGRID FOR LATTICE GAUGE-THEORY [J].
BROWER, RC ;
REBBI, C ;
VICARI, E .
PHYSICAL REVIEW LETTERS, 1991, 66 (10) :1263-1266
[7]  
BROWER RC, 1988, MULTIGRID METHODS TH, P85
[8]  
BROWER RC, 1991, PHYS REV D, V43, P43
[9]   A NEW METHOD FOR UPDATING SU(N) MATRICES IN COMPUTER-SIMULATIONS OF GAUGE-THEORIES [J].
CABIBBO, N ;
MARINARI, E .
PHYSICS LETTERS B, 1982, 119 (4-6) :387-390
[10]  
de Forcrand P., 1989, Nuclear Physics B, Proceedings Supplements, V9, P516, DOI 10.1016/0920-5632(89)90153-9