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Approximate Ginsparg-Wilson fermions: a first test

被引：93
作者：
Gattringer, C
Hip, I
Lang, CB
机构：
[1] Graz Univ, Inst Theoret Phys, A-8010 Graz, Austria
[2] MIT, Ctr Theoret Phys, Cambridge, MA 02139 USA
[3] Forschungszentrum Julich, NIC, John von Neumann Inst Comp, D-52425 Julich, Germany
来源：
NUCLEAR PHYSICS B | 2001年 / 597卷 / 1-3期
关键词：
lattice field theory; chiral fermions;
D O I：
10.1016/S0550-3213(00)00717-3
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 construct a 4-d lattice Dirac operator D using a systematical expansion in terms of simple operators on the lattice. The Ginsparg-Wilson equation turns into a system of coupled equations for the expansion coefficients of D. We solve these equations for a finite parametrization of D and find an approximate solution of the Ginsparg-Wilson equation. We analyze the spectral properties of our D for various ensembles of quenched SU(3) configurations. Improving the gauge field action considerably improves the spectral properties of our D. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：451 / 474
页数：24
相关论文
共 51 条
[11]   SYMANZIK IMPROVED LAGRANGIAN FOR LATTICE GAUGE-THEORY [J].
CURCI, G ;
MENOTTI, P ;
PAFFUTI, G .
PHYSICS LETTERS B, 1983, 130 (3-4) :205-208
[12]  
CURCI G, 1984, PHYS LETT B, V135, P516
[13]   The fixed point action for the Schwinger model: a perturbative approach [J].
Farchioni, F ;
Laliena, V .
NUCLEAR PHYSICS B, 1998, 521 (1-2) :337-364
[14]   Properties of the fixed point lattice Dirac operator in the Schwinger model [J].
Farchioni, F ;
Laliena, V .
PHYSICAL REVIEW D, 1998, 58 (05)
[15]   Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model [J].
Farchioni, F ;
Hip, I ;
Lang, CB .
PHYSICS LETTERS B, 1998, 443 (1-4) :214-220
[16]   Chiral properties of the fixed point action of the Schwinger model [J].
Farchioni, F ;
Lang, CB ;
Wohlgenannt, M .
PHYSICS LETTERS B, 1998, 433 (3-4) :377-384
[17]   Eigenvalue spectrum of massless Dirac operators on the lattice [J].
Farchioni, F ;
Hip, I ;
Lang, CB ;
Wohlgenannt, M .
NUCLEAR PHYSICS B, 1999, 549 (1-2) :364-388
[18]   New approximate solution of the Ginsparg-Wilson equation - tests in 2-d [J].
Gattringer, C ;
Hip, I .
PHYSICS LETTERS B, 2000, 480 (1-2) :112-118
[19]   Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice [J].
Gattringer, C ;
Hip, I .
NUCLEAR PHYSICS B, 1999, 541 (1-2) :305-319
[20]  
GATTRINGER C, IN PRESS PHYS REV D
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