Distributions of Dirac operator eigenvalues

被引:35
作者
Akemann, G [1 ]
Damgaard, PH
机构
[1] CEA, DSM, SPhT Saclay, Serv Phys Theor,Unite Associee CNRS,SPM,URA 2306, F-91191 Gif Sur Yvette, France
[2] Niels Bohr Inst, DK-2100 Copenhagen O, Denmark
关键词
D O I
10.1016/j.physletb.2003.12.024
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The distribution of individual Dirac eigenvalues is derived by relating them to the density and higher eigenvalue correlation functions. The relations are general and hold for any gauge theory coupled to fermions under certain conditions which are stated. As a special case, we give examples of the lowest-lying eigenvalue distributions for QCD-like gauge theories without making use of earlier results based on the relation to Random Matrix Theory. (C) 2004 Published by Elsevier B.V.
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页码:199 / 206
页数:8
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