SYSTEMATIC-ERRORS OF LUSCHERS FERMION METHOD AND ITS EXTENSIONS

被引：51

作者：

BORICI, A

DEFORCRAND, P

机构：

[1] Interdisciplinary Project Center for Supercomputing (IPS), Swiss Federal Institute of Technology Zürich (ETH), IPS

来源：

NUCLEAR PHYSICS B | 1995年 / 454卷 / 03期

关键词：

D O I：

10.1016/0550-3213(95)00429-V

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We study the systematic errors of Luscher's formulation of dynamical Wilson quarks and some of its variants, in the weak and strong coupling limits, and on a sample of small configurations at finite beta. We confirm the existence of an optimal window in the cutoff parameter epsilon, and the exponential decrease of the error with the number of boson families. A non-hermitian variant improves the approximation further and allows for an odd number of flavors. A simple and economical Metropolis test is proposed, which makes the algorithm exact.

引用

页码：645 / 660

页数：16

共 20 条

[1]

ALEXANDROU C, UNPUB NUCL PHYS B

[2] GLUEBALLS AND TOPOLOGY IN LATTICE QCD WITH 2 LIGHT FLAVORS [J].

BITAR, KM ;

EDWARDS, R ;

HELLER, UM ;

KENNEDY, AD ;

DEGRAND, TA ;

GOTTLIEB, S ;

KRASNITZ, A ;

KOGUT, JB ;

RENKEN, RL ;

LIU, W ;

ROSSI, P ;

OGILVIE, MC ;

SINCLAIR, DK ;

WANG, KC ;

SUGAR, RL ;

TEPER, M ;

TOUSSAINT, D .

PHYSICAL REVIEW D, 1991, 44 (07) :2090-2109

[3] ACCURATE HADRON SPECTROSCOPY ON BLOCKED CONFIGURATIONS BY TADPOLE-RENORMALIZED, CLOVER-IMPROVED WILSON QUARK ACTION [J].

BORICI, A ;

DEFORCRAND, P .

NUCLEAR PHYSICS B, 1995, :309-311

[4] A NEW SIMULATION ALGORITHM FOR LATTICE QCD WITH DYNAMICAL QUARKS [J].

BUNK, B ;

JANSEN, K ;

JEGERLEHNER, B ;

LUSCHER, M ;

SIMMA, H ;

SOMMER, R .

NUCLEAR PHYSICS B, 1995, :49-55

[5] GLOBAL MONTE-CARLO ALGORITHMS FOR MANY-FERMION SYSTEMS [J].

CREUTZ, M .

PHYSICAL REVIEW D, 1988, 38 (04) :1228-1238

[6] COMPUTING EIGENVALUES OF VERY LARGE SYMMETRIC-MATRICES - AN IMPLEMENTATION OF A LANCZOS-ALGORITHM WITH NO RE-ORTHOGONALIZATION [J].

CULLUM, J ;

WILLOUGHBY, RA .

JOURNAL OF COMPUTATIONAL PHYSICS, 1981, 44 (02) :329-358

[7] MONTE-CARLO CALCULATION OF LATTICE QCD WITH EXACT TREATMENT OF DYNAMIC QUARK LOOPS [J].

DEFORCRAND, P ;

HARAGUCHI, H ;

HEGE, HC ;

LINKE, V ;

NAKAMURA, A ;

STAMATESCU, IO .

PHYSICAL REVIEW LETTERS, 1987, 58 (20) :2011-2014

[8] HYBRID MONTE-CARLO [J].

DUANE, S ;

KENNEDY, AD ;

PENDLETON, BJ ;

ROWETH, D .

PHYSICS LETTERS B, 1987, 195 (02) :216-222

[9]

Fletcher R, 1976, LECT NOTES MATH, V506, P73, DOI DOI 10.1007/BFB0080116

[10] METHODS OF CONJUGATE GRADIENTS FOR SOLVING LINEAR SYSTEMS [J].

HESTENES, MR ;

STIEFEL, E .

JOURNAL OF RESEARCH OF THE NATIONAL BUREAU OF STANDARDS, 1952, 49 (06) :409-436

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