The hermitian Wilson-Dirac operator in smooth SU(2) instanton backgrounds

被引：49

作者：

Edwards, RG ^{[1
]}

Heller, UM ^{[1
]}

Narayanan, R ^{[1
]}

机构：

[1] Florida State Univ, SCRI, Tallahassee, FL 32306 USA

来源：

NUCLEAR PHYSICS B | 1998年 / 522卷 / 1-2期

关键词：

lattice QCD; Wilson fermions;

D O I：

10.1016/S0550-3213(98)00270-3

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 the spectral flow of the hermitian Wilson-Dirac operator H(m) as a function of m in smooth SU(2) instanton backgrounds on the lattice. For a single instanton background with Dirichlet boundary conditions on H(m), we find a level crossing in the spectral flow of H(rn), and we find the shape of the crossing mode at the crossing point to be in good agreement with the zero-mode associated with the single instanton background. With anti-periodic boundary conditions on H(m), we find that the instanton background in the singular gauge has the correct spectral flow but the one in regular gauge does not. We also investigate the spectral Bows of two instanton and instanton-anti-instanton backgrounds. (C) 1998 Elsevier Science B.V.

引用

页码：285 / 297

页数：13

共 17 条

[1] A new method to measure the chiral condensate in lattice QCD using Wilson fermions [J].