MULTICRITICAL MICROSCOPIC SPECTRAL CORRELATORS OF HERMITIAN AND COMPLEX MATRICES

Authors
AKEMANN G DAMGAARD PH MAGNEA U NISHIGAKI SM
Citation
G. Akemann et al., MULTICRITICAL MICROSCOPIC SPECTRAL CORRELATORS OF HERMITIAN AND COMPLEX MATRICES, Nuclear physics. B, 519(3), 1998, pp. 682-714
Citations number
54
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
Nuclear physics. B → ACNP
ISSN journal
05503213
Volume
519
Issue
3
Year of publication
1998
Pages
682 - 714
Database
ISI
SICI code
0550-3213(1998)519:3<682:MMSCOH>2.0.ZU;2-Z
Abstract
We find the microscopic spectral densities and the spectral correlator s associated with multicritical behavior for both hermitian and comple x matrix ensembles, and show their universality. We conjecture that mi croscopic spectral densities of Dirac operators in certain theories wi thout spontaneous chiral symmetry breaking may belong to these new uni versality classes. (C) 1998 Elsevier Science B.V.