QUARK SPECTRA, TOPOLOGY, AND RANDOM MATRIX THEORY
QUARK SPECTRA, TOPOLOGY, AND RANDOM MATRIX THEORY
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夸克谱、拓扑和随机矩阵理论
DOI：
10.1103/physrevlett.82.4188
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发表时间：
1999
影响因子：
8.6
通讯作者：
R. Narayanan
中科院分区：
文献类型：
--
作者：
R. Edwards;U. Heller;J. Kiskis;R. Narayanan
QCD中的夸克谱与该理论的基本性质有关，包括将介子识别为自发破缺手性对称的戈德斯通玻色子。晶格重叠狄拉克算子提供了具有正确手性对称性的夸克的非微扰、紫外正则化描述。研究了该算子的谱性质及其与随机矩阵理论的关系。特别是，本文首次验证了手性随机矩阵理论在拓扑非平凡规范场扇区中的预测。{版权所有}{ital 1999} {ital美国物理学会}
Quark spectra in QCD are linked to fundamental properties of the theory including the identification of pions as the Goldstone bosons of spontaneously broken chiral symmetry. The lattice overlap Dirac operator provides a nonperturbative, ultraviolet-regularized description of quarks with the correct chiral symmetry. Properties of the spectrum of this operator and their relation to random matrix theory are studied here. In particular, the predictions from chiral random matrix theory in topologically nontrivial gauge field sectors are tested for the first time. {copyright} {ital 1999} {ital The American Physical Society}