Equivalent of a Thouless energy in lattice QCD Dirac spectra

被引:0
|
作者
Berbenni, ME [1 ]
Guhr, T
Ma, JZ
Meyer, S
Wilke, T
机构
[1] Univ Kaiserslautern, Fachbereich Phys, D-67663 Kaiserslautern, Germany
[2] Max Planck Inst Kernphys, D-69029 Heidelberg, Germany
[3] Hong Kong Baptist Univ, Hong Kong, Hong Kong, Peoples R China
关键词
D O I
暂无
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
Random matrix theory (RMT) is a powerful statistical tool to model spectral fluctuations. In addition, RMT provides efficient means to separate different scales in spectra. Recently RMT has found application in quantum chromodynamics (QCD). In mesoscopic physics, the Thouless energy sets the universal scale for which RMT applies. We try to identify the equivalent of a Thouless energy in complete spectra of the QCD Dirac operator with staggered fermions and SUc(2) lattice gauge fields. Comparing lattice data with RMT predictions we find deviations which allow us to give an estimate for this scale.
引用
收藏
页码:914 / 916
页数:3
相关论文
共 50 条
  • [31] Dirac spectra of two-dimensional QCD-like theories
    Kieburg, Mario
    Verbaarschot, Jacobus J. M.
    Zafeiropoulos, Savvas
    PHYSICAL REVIEW D, 2014, 90 (08):
  • [32] U (1) axial symmetry and Dirac spectra in QCD at high temperature
    Takuya Kanazawa
    Naoki Yamamoto
    Journal of High Energy Physics, 2016
  • [33] Unquenched QCD Dirac operator spectra at nonzero baryon chemical potential
    Akemann, G
    Osborn, JC
    Splittorff, K
    Verbaarschot, JJM
    NUCLEAR PHYSICS B, 2005, 712 (1-2) : 287 - 324
  • [34] U(1) axial symmetry and Dirac spectra in QCD at high temperature
    Kanazawa, Takuya
    Yamamoto, Naoki
    JOURNAL OF HIGH ENERGY PHYSICS, 2016, (01): : 1 - 28
  • [35] A multigrid accelerated eigensolver for the Hermitian Wilson-Dirac operator in lattice QCD
    Frommer, Andreas
    Kahl, Karsten
    Knechtli, Francesco
    Rottmann, Matthias
    Strebel, Artur
    Zwaan, Ian
    COMPUTER PHYSICS COMMUNICATIONS, 2021, 258
  • [36] Lattice Analysis for the Energy Scale of QCD Phenomena
    Yamamoto, Arata
    Suganuma, Hideo
    PHYSICAL REVIEW LETTERS, 2008, 101 (24)
  • [37] Lattice QCD at finite temperature:: Evidence for calorons from the eigenvectors of the Dirac operator
    Gattringer, C
    Göckeler, M
    Rakow, PEL
    Schäfer, A
    Söldner, W
    Wettig, T
    NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2002, 106 : 492 - 494
  • [38] QCD Dirac operator at nonzero chemical potential: Lattice data and matrix model
    Akemann, G
    Wettig, T
    PHYSICAL REVIEW LETTERS, 2004, 92 (10) : 102002 - 1
  • [39] Statistical properties of the spectrum of the QCD Dirac operator at low energy
    Toublan, D
    Verbaarschot, JJM
    NUCLEAR PHYSICS B, 2001, 603 (1-2) : 343 - 368
  • [40] Lattice QCD spectra at finite temperature: A random matrix approach
    Nowak, MA
    Papp, G
    Zahed, I
    PHYSICS LETTERS B, 1996, 389 (02) : 341 - 346