Microscopic universality in the spectrum of the lattice Dirac operator

被引：103

作者：

Berbenni-Bitsch, ME ^{[1
]}

Meyer, S

Schafer, A

Verbaarschot, JJM

Wettig, T

机构：

[1] Univ Kaiserslautern, Fachbereich Phys Theoret Phys, D-67663 Kaiserslautern, Germany

[2] Univ Regensburg, Inst Theoret Phys, D-93040 Regensburg, Germany

[3] SUNY Stony Brook, Dept Phys, Stony Brook, NY 11794 USA

[4] Max Planck Inst Kernphys, D-69029 Heidelberg, Germany

[5] Tech Univ Munich, Inst Theoret Phys, D-85747 Garching, Germany

来源：

PHYSICAL REVIEW LETTERS | 1998年 / 80卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.80.1146

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Large ensembles of complete spectra of the Euclidean Dirac operator For staggered Fermions are calculated for SU(2) lattice gauge theory. The accumulation of eigenvalues near zero is analyzed as a signal of chiral symmetry breaking and compared with parameter-free predictions from chiral random-matrix theory. Excellent agreement for the distribution of the smallest eigenvalue and the microscopic spectral density is found. This provides direct evidence for the conjecture that these quantities are universal functions. [S0031-9007(98)05378-2].

引用

页码：1146 / 1149

页数：4

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