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
收藏
页数：4
相关论文
共 50 条
  • [21] Microscopic Spectrum of the Wilson Dirac Operator
    Damgaard, P. H.
    Splittorff, K.
    Verbaarschot, J. J. M.
    PHYSICAL REVIEW LETTERS, 2010, 105 (16)
  • [22] Low-lying eigenmodes of the Wilson-Dirac operator and correlations with topological objects
    Kusterer, DJ
    Hedditch, J
    Kamleh, W
    Leinweber, DB
    Williams, AG
    NUCLEAR PHYSICS B, 2002, 628 (1-2) : 253 - 269
  • [23] Eigenvalue Density of the Non-Hermitian Wilson Dirac Operator
    Kieburg, Mario
    Verbaarschot, Jacobus J. M.
    Zafeiropoulos, Savvas
    PHYSICAL REVIEW LETTERS, 2012, 108 (02)
  • [24] Topological structure of the SU(3) vacuum and exceptional eigenmodes of the improved Wilson-Dirac operator
    Smith, D
    Simma, H
    Teper, M
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 1998, 63 : 558 - 560
  • [25] ADAPTIVE AGGREGATION-BASED DOMAIN DECOMPOSITION MULTIGRID FOR THE LATTICE WILSON-DIRAC OPERATOR
    Frommer, A.
    Kahl, K.
    Krieg, S.
    Leder, B.
    Rottmann, M.
    SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2014, 36 (04): : A1581 - A1608
  • [26] Efficient computation of low-lying eigenmodes of non-Hermitian Wilson-Dirac type matrices
    Neff, H
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2002, 106 : 1055 - 1057
  • [27] Calculations of the quark masses and smallest eigenvalues of Wilson-Dirac operator in domain-wall formalism
    Gadiyak, V
    Ji, XD
    Jung, CW
    INTERSECTIONS OF PARTICLE AND NUCLEAR PHYSICS, 2000, 549 : 554 - 557
  • [28] Spectrum of the Wilson Dirac operator at finite lattice spacings
    Akemann, G.
    Damgaard, P. H.
    Splittorff, K.
    Verbaarschot, J. J. M.
    PHYSICAL REVIEW D, 2011, 83 (08):
  • [29] On the spectrum of a periodic magnetic Dirac operator
    Danilov, L. I.
    IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2016, (02): : 3 - 21
  • [30] Microscopic spectrum of the QCD Dirac operator in three dimensions
    Szabo, RJ
    NUCLEAR PHYSICS B, 2001, 598 (1-2) : 309 - 347
12345