GROUND-STATE PROJECTION MULTIGRID FOR PROPAGATORS IN 4-DIMENSIONAL SU(2) GAUGE-FIELDS

被引：17

作者：

KALKREUTER, T

机构：

[1] II. Institut für Theoretische Physik der Universität Hamburg, W-2000 Hamburg 50

来源：

PHYSICS LETTERS B | 1992年 / 276卷 / 04期

关键词：

D O I：

10.1016/0370-2693(92)91672-V

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The ground-state projection multigrid method is studied for computations of slowly decaying bosonic propagators in four-dimensional SU(2) lattice gauge theory. The defining eigenvalue equation for the restriction operator C is solved exactly. With the Galerkin choice A = C* for the interpolation operator, the critical exponent z is not reduced in nontrivial gauge fields. Nevertheless, a considerable speedup is obtained compared to conventional relaxation, and the conjugate gradient algorithm is outperformed. Simulations with an "optimal" interpolation kernel A eliminate critical slowing down for any value of the gauge coupling. This proves that ground-state projection is a good choice of C (i.e., of the blockspin).

引用

页码：485 / 491

页数：7

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