Solutions of the Ginsparg-Wilson relation

被引:56
作者
Chiu, TW [1 ]
Zenkin, SV
机构
[1] Natl Taiwan Univ, Dept Phys, Taipei 106, Taiwan
[2] Russian Acad Sci, Inst Nucl Res, Moscow 117312, Russia
来源
PHYSICAL REVIEW D | 1999年 / 59卷 / 07期
关键词
D O I
10.1103/PhysRevD.59.074501
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We analyze the general solutions of the Ginsparg-Wilson relation for lattice Dirac operators and formulate a necessary condition for such operators to have a nonzero index in the topologically nontrivial background gauge fields. [S0556-2821(99)03405-0].
引用
收藏
页数:3
相关论文
共 14 条
[1]  
CHANDRASEKHARAN S, HEPLAT9805015
[2]   FERMION PROPAGATORS ON A 4-DIMENSIONAL RANDOM-BLOCK LATTICE [J].
CHIU, TW .
PHYSICS LETTERS B, 1988, 206 (03) :510-516
[3]   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
[4]   Topological charge and the spectrum of exactly massless fermions on the lattice [J].
Chiu, TW .
PHYSICAL REVIEW D, 1998, 58 (07)
[5]   WEIGHTS OF LINKS AND PLAQUETTES IN A RANDOM LATTICE [J].
CHRIST, NH ;
FRIEDBERG, R ;
LEE, TD .
NUCLEAR PHYSICS B, 1982, 210 (03) :337-346
[6]   A REMNANT OF CHIRAL SYMMETRY ON THE LATTICE [J].
GINSPARG, PH ;
WILSON, KG .
PHYSICAL REVIEW D, 1982, 25 (10) :2649-2657
[7]   Lattice QCD without tuning, mixing and current renormalization [J].
Hasenfratz, P .
NUCLEAR PHYSICS B, 1998, 525 (1-2) :401-409
[8]   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
[9]   Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation [J].
Luscher, M .
PHYSICS LETTERS B, 1998, 428 (3-4) :342-345
[10]   Exactly massless quarks on the lattice [J].
Neuberger, H .
PHYSICS LETTERS B, 1998, 417 (1-2) :141-144