The axial anomaly of Ginsparg-Wilson fermion

被引:32
作者
Chiu, TW [1 ]
机构
[1] Natl Taiwan Univ, Dept Phys, Taipei 106, Taiwan
关键词
D O I
10.1016/S0370-2693(98)01511-1
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The axial anomaly of Ginsparg-Wilson fermion operator D is discussed in general for the operator R which enters the chiral symmetry breaking part in the Ginsparg-Wilson relation. The axial anomaly and the index of D as well as the exact realization of the Atiyah-Singer index theorem on the lattice are determined solely by the topological characteristics of the chirally symmetric operator D-c in the chiral limit R --> 0. (C) 1999 Published by Elsevier Science B.V. All rights reserved.
引用
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页码:371 / 377
页数:7
相关论文
共 19 条
[1]  
CHANDRASEKHARAN S, HEPLAT9805015
[2]   Chiral structure of the solutions of the Ginsparg-Wilson relation [J].
Chiu, TW ;
Wang, CW ;
Zenkin, SV .
PHYSICS LETTERS B, 1998, 438 (3-4) :321-326
[3]   Topological charge and the spectrum of exactly massless fermions on the lattice [J].
Chiu, TW .
PHYSICAL REVIEW D, 1998, 58 (07)
[4]  
CHIU TW, HEPLAT9810002
[5]  
CHIU TW, NTUTH98098
[6]  
CHIU TW, HEPLAT9809085
[7]  
CHIU TW, HEPLAT9806019
[8]   A REMNANT OF CHIRAL SYMMETRY ON THE LATTICE [J].
GINSPARG, PH ;
WILSON, KG .
PHYSICAL REVIEW D, 1982, 25 (10) :2649-2657
[9]   Lattice QCD without tuning, mixing and current renormalization [J].
Hasenfratz, P .
NUCLEAR PHYSICS B, 1998, 525 (1-2) :401-409
[10]   The index theorem in QCD with a finite cut-off [J].
Hasenfratz, P ;
Laliena, V ;
Niedermayer, F .
PHYSICS LETTERS B, 1998, 427 (1-2) :125-131