Microscopic spectral density of the Wilson Dirac operator for one flavor

被引：3
|
作者：
Larsen, Rasmus Normann [1 ]
机构：
[1] Univ Copenhagen, Niels Bohr Inst, Niels Bohr Int Acad & Discovery Ctr, DK-2100 Copenhagen, Denmark
来源：
PHYSICS LETTERS B | 2012年 / 709卷 / 4-5期
关键词：
Wilson fermions; Microscopic limit;
D O I：
10.1016/j.physletb.2012.02.038
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We consider the effect of a non-zero lattice spacing on the low-energy effective theory of Wilson fermions with N-f = 1. Analytical results are given for both the chiral condensate and the microscopic spectral density of the Wilson Dirac operator. It is observed that the partition function for a sector of fixed index nu has nu real zeros. A subtle mechanism ensures that a constant chiral condensate is recovered, once the sum over sectors nu is performed. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码：390 / 395
页数：6
相关论文
共 50 条
  • [41] A spectral estimate for the Dirac operator on Riemannian flows
    Ginoux, Nicolas
    Habib, Georges
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2010, 8 (05): : 950 - 965
  • [42] Application of spectral mapping method to Dirac operator
    Amirov, Rauf
    Arslantas, Merve
    TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (05) : 1852 - 1870
  • [43] Spectral theoretic characterization of the massless Dirac operator
    Chervova, Olga
    Downes, Robert J.
    Vassiliev, Dmitri
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2014, 89 : 301 - 320
  • [44] Spectral Properties of the Dirac Operator on the Real Line
    A. G. Baskakov
    I. A. Krishtal
    N. B. Uskova
    Differential Equations, 2021, 57 : 139 - 147
  • [45] Spectral properties of the Dirac operator and geometrical structures
    Hijazi, O
    GEOMETRIC METHODS FOR QUANTUM FIELD THEORY, 2001, : 116 - 169
  • [46] Adaptive Multigrid Algorithm for the Lattice Wilson-Dirac Operator
    Babich, R.
    Brannick, J.
    Brower, R. C.
    Clark, M. A.
    Manteuffel, T. A.
    McCormick, S. F.
    Osborn, J. C.
    Rebbi, C.
    PHYSICAL REVIEW LETTERS, 2010, 105 (20)
  • [47] Noncommutative chiral anomaly and the Dirac-Ginsparg-Wilson operator
    Ydri, B
    JOURNAL OF HIGH ENERGY PHYSICS, 2003, (08):
  • [48] Linking confinement to spectral properties of the Dirac operator
    Gattringer, Christof
    PHYSICAL REVIEW LETTERS, 2006, 97 (03)
  • [49] On Convergence of Spectral Expansion in Eigenfunctions of Dirac Operator
    Kurbanov, V. M.
    Ismailova, A. I.
    Gojayeva, Kh. R.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2025, 15 (01): : 116 - 127
  • [50] Massive spectral sum rules for the Dirac operator
    Damgaard, PH
    PHYSICS LETTERS B, 1998, 425 (1-2) : 151 - 157
12345