Adaptive multigrid algorithm for lattice QCD

被引：48

作者：

Brannick, J. ^{[1
]}

Brower, R. C. ^{[2
,3
]}

Clark, M. A. ^{[2
]}

Osborn, J. C. ^{[2
]}

Rebbi, C. ^{[2
,3
]}

机构：

[1] Penn State Univ, Dept Math, University Pk, PA 16802 USA

[2] Boston Univ, Ctr Computat Sci, Boston, MA 02215 USA

[3] Boston Univ, Dept Phys, Boston, MA 02215 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 100卷 / 04期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.100.041601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a new multigrid solver that is suitable for the Dirac operator in the presence of disordered gauge fields. The key behind the success of the algorithm is an adaptive projection onto the coarse grids that preserves the near null space. The resulting algorithm has weak dependence on the gauge coupling and exhibits very little critical slowing down in the chiral limit. Results are presented for the Wilson-Dirac operator of the 2D U(1) Schwinger model.

引用

页数：4

共 9 条

[1] BRANDT A, 1977, MATH COMPUT, V31, P333, DOI 10.1090/S0025-5718-1977-0431719-X
[2] BRANNICK J, 2006, LECT NOTES COMPUTATI, V55, P499
[3] Adaptive smoothed aggregation (αSA)
Brezina, M
Falgout, R
MacLachlan, S
Manteuffel, T
McCormick, S
Ruge, J
[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2004, 25 (06) : 1896 - 1920
[4] PROJECTIVE MULTIGRID FOR WILSON FERMIONS
BROWER, RC
EDWARDS, RG
REBBI, C
VICARI, E
[J]. NUCLEAR PHYSICS B, 1991, 366 (03) : 689 - 705
[5] QCD with light Wilson quarks on fine lattices (II):: DD-HMC simulations and data analysis
Del Debbio, Luigi
Giusti, Leonardo
Luscher, Martin
Petronzio, Roberto
Tantalo, Nazario
[J]. JOURNAL OF HIGH ENERGY PHYSICS, 2007, (02):
[6] A METHOD FOR SIMULATING CHIRAL FERMIONS ON THE LATTICE
KAPLAN, DB
[J]. PHYSICS LETTERS B, 1992, 288 (3-4) : 342 - 347
[7] INVERSION OF THE FERMION MATRIX IN LATTICE QCD BY MEANS OF PARALLEL-TRANSPORTED MULTIGRID (PTMG)
LAUWERS, PG
WITTLICH, T
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS C-PHYSICS AND COMPUTERS, 1993, 4 (03): : 609 - 620
[8] Exactly massless quarks on the lattice
Neuberger, H
[J]. PHYSICS LETTERS B, 1998, 417 (1-2) : 141 - 144
[9] CHIRAL FERMIONS FROM LATTICE BOUNDARIES
SHAMIR, Y
[J]. NUCLEAR PHYSICS B, 1993, 406 (1-2) : 90 - 106

← 1 →