THE SPECTRUM OF THE DIRAC OPERATOR NEAR ZERO VIRTUALITY FOR N(C)=2 AND CHIRAL RANDOM-MATRIX THEORY

被引:109
作者
VERBAARSCHOT, J
机构
[1] Department of Physics, SUNY, Stony Brook
关键词
D O I
10.1016/0550-3213(94)90021-3
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
We study the spectrum of the QCD Dirac operator near zero virtuality for N(c) = 2. According to a universality argument, it can be described by a random matrix theory with the chiral structure of QCD, but with real matrix elements. Using results derived by Mehta and Mahoux and Nagao and Wadati, we are able to obtain an analytical result for the microscopic spectral density that in turn is the generating function for Leutwyler-Smilga type spectral sum rules.
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页码:559 / 574
页数:16
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