Properties of near-zero modes and chiral symmetry breaking

被引:44
作者
Gattringer, C [1 ]
Göckeler, M [1 ]
Rakow, PEL [1 ]
Schaefer, S [1 ]
Schäfer, A [1 ]
机构
[1] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany
关键词
lattice QCD; instantons; chiral symmetry breaking;
D O I
10.1016/S0550-3213(01)00478-3
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 study localization and chirality properties of eigenvectors of the lattice Dirac operator. In particular, we focus on the dependence of our observables on the size of the corresponding eigenvalue, which allows us to study the transition of a near-zero mode into a bulk mode. We analyze ensembles of quenched SU(3) configurations using a Dirac operator which is a systematic expansion in path length of a solution of the Ginsparg-Wilson equation. Our results support the interpretation of the excitations relevant for chiral symmetry breaking as interacting instantons and anti-instantons. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:101 / 116
页数:16
相关论文
共 51 条
[1]   LATTICE QCD ON SMALL COMPUTERS [J].
ALFORD, M ;
DIMM, W ;
LEPAGE, GP ;
HOCKNEY, G ;
MACKENZIE, PB .
PHYSICS LETTERS B, 1995, 361 (1-4) :87-94
[2]   CHIRAL SYMMETRY-BREAKING IN CONFINING THEORIES [J].
BANKS, T ;
CASHER, A .
NUCLEAR PHYSICS B, 1980, 169 (1-2) :103-125
[3]   Microscopic universality in the spectrum of the lattice Dirac operator [J].
Berbenni-Bitsch, ME ;
Meyer, S ;
Schafer, A ;
Verbaarschot, JJM ;
Wettig, T .
PHYSICAL REVIEW LETTERS, 1998, 80 (06) :1146-1149
[4]   Crossover to non-universal microscopic spectral fluctuations in lattice gauge theory [J].
Berbenni-Bitsch, ME ;
Gockeler, M ;
Guhr, T ;
Jackson, AD ;
Ma, JZ ;
Meyer, S ;
Schafer, A ;
Weidenmuller, HA ;
Wettig, T ;
Wilke, T .
PHYSICS LETTERS B, 1998, 438 (1-2) :14-20
[5]  
BLUM T, HEPLAT0105006
[6]  
BORNYAKOV VG, HEPLAT0103032
[7]  
CHERNODUB MN, HEPPHAAAAA0107130
[8]   EVIDENCE FOR THE ROLE OF INSTANTONS IN HADRON STRUCTURE FROM LATTICE QCD [J].
CHU, MC ;
GRANDY, JM ;
HUANG, S ;
NEGELE, JW .
PHYSICAL REVIEW D, 1994, 49 (11) :6039-6050
[9]   SYMANZIK IMPROVED LAGRANGIAN FOR LATTICE GAUGE-THEORY [J].
CURCI, G ;
MENOTTI, P ;
PAFFUTI, G .
PHYSICS LETTERS B, 1983, 130 (3-4) :205-208
[10]  
CURCI G, 1984, PHYS LETT B, V135, P516