Spectrum of the Hermitian Wilson-Dirac operator for a uniform magnetic field in two dimensions

被引：4

作者：

Kurokawa, H ^{[1
]}

Fujiwara, T

机构：

[1] Ibaraki Univ, Grad Sch Sci & Engn, Mito, Ibaraki 3108512, Japan

[2] Ibaraki Univ, Dept Math Sci, Mito, Ibaraki 3108512, Japan

来源：

PHYSICAL REVIEW D | 2003年 / 67卷 / 02期

关键词：

D O I：

10.1103/PhysRevD.67.025015

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The spectrum of the Hermitian Wilson-Dirac operator is investigated for an arbitrary uniform magnetic field in two dimensions. It can be described by a relativistic analogue of the Harper equation. The index of the overlap Dirac operator is obtained directly from the spectral asymmetry of the relativistic Harper system. It coincides with the topological charge if the field strength is equal to or less than pi/2.

引用

页数：4

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