Exact local fermionic zero modes

被引:21
作者
Berruto, F
Narayanan, R
Neuberger, H
机构
[1] Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08855 USA
[2] Amer Phys Soc, Ridge, NY 11961 USA
[3] Rutgers State Univ, Dept Phys & Astron, Piscataway, NJ 08855 USA
关键词
D O I
10.1016/S0370-2693(00)00905-9
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We introduce a simple method to find localized exact fermionic zero modes for any local fermionic action. The zero modes are attached to specific local gauge configurations. Examples are provided for staggered and Wilson fermion actions in 2-6 dimensions, at finite and infinite lattice volumes, and for abelian and non-abelian gauge groups. One of our concrete results is that a finite density of almost zero modes must occur in quenched four dimensional lattice gauge theory simulations that use traditional methods. This density is exponentially suppressed in the gauge coupling constant. (C) 2000 Elsevier Science B,V. All rights reserved.
引用
收藏
页码:243 / 250
页数:8
相关论文
共 15 条
[1]   VARIANT ACTIONS AND PHASE-STRUCTURE IN LATTICE GAUGE-THEORY [J].
BHANOT, G ;
CREUTZ, M .
PHYSICAL REVIEW D, 1981, 24 (12) :3212-3217
[2]   ANALYTICAL RESULTS FOR MIXED ACTION SU(2) LATTICE GAUGE-THEORY [J].
DASHEN, R ;
HELLER, UM ;
NEUBERGER, H .
NUCLEAR PHYSICS B, 1983, 215 (03) :360-380
[3]   Spectral flow, condensate and topology in lattice QCD [J].
Edwards, RG ;
Heller, UM ;
Narayanan, R .
NUCLEAR PHYSICS B, 1998, 535 (1-2) :403-422
[4]   Approach to the continuum limit of the quenched Hermitian Wilson-Dirac operator [J].
Edwards, RG ;
Heller, UM ;
Narayanan, R .
PHYSICAL REVIEW D, 1999, 60 (03)
[5]   A study of practical implementations of the overlap Dirac operator in four dimensions [J].
Edwards, RG ;
Heller, UM ;
Narayanan, R .
NUCLEAR PHYSICS B, 1999, 540 (1-2) :457-471
[6]   A CONSTRUCTION OF LATTICE CHIRAL GAUGE-THEORIES [J].
NARAYANAN, R ;
NEUBERGER, H .
NUCLEAR PHYSICS B, 1995, 443 (1-2) :305-385
[7]   CHIRAL DETERMINANT AS AN OVERLAP OF 2 VACUA [J].
NARAYANAN, R ;
NEUBERGER, H .
NUCLEAR PHYSICS B, 1994, 412 (03) :574-606
[8]   CHIRAL FERMIONS ON THE LATTICE [J].
NARAYANAN, R ;
NEUBERGER, H .
PHYSICAL REVIEW LETTERS, 1993, 71 (20) :3251-3254
[9]   INFINITELY MANY REGULATOR FIELDS FOR CHIRAL FERMIONS [J].
NARAYANAN, R ;
NEUBERGER, H .
PHYSICS LETTERS B, 1993, 302 (01) :62-69
[10]   Bounds on the Wilson Dirac operator [J].
Neuberger, H .
PHYSICAL REVIEW D, 2000, 61 (08)