PROJECTIVE MULTIGRID METHOD FOR PROPAGATORS IN LATTICE GAUGE-THEORY

被引：15

作者：

BROWER, RC ^{[1
]}

REBBI, C ^{[1
]}

VICARI, E ^{[1
]}

机构：

[1] DALHOUSIE UNIV,HALIFAX B3H 4H2,NS,CANADA

来源：

PHYSICAL REVIEW D | 1991年 / 43卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.43.1965

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A projective multigrid method is considered for application to fermion propagators in the presence of gauge fields. The collective variables on each block are defined by the gauge-invariant projection onto the lowest eigenstate for the block. The scheme is formulated in detail for two-dimensional bosons and Wilson fermions in the U(1) gauge theory and numerical studies are presented for bosons to demonstrate its potential for more efficient convergence. For example, at a confinement length of 8 lattice units on a 64 x 64 lattice, the projective multigrid method gives a speed up of almost two orders of magnitude relative to the Gauss-Seidel algorithm.

引用

页码：1965 / 1973

页数：9

共 13 条

[1] THE FERMIONIC MATRIX, INSTANTONS, ZERO MODES AND MULTIGRID [J].