Multicritical Microscopic Spectral Correlators of Hermitian and Complex Matrices

Details Multicritical Microscopic Spectral Correlators of Hermitian and Complex Matrices Multicritical Microscopic Spectral Correlators of Hermitian and Complex Matrices

1997-11-30

arxiv.org/abs/hep-th/9712006v2

Nucl.Phys. B519 (1998) 682-714

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, 12 figures, LateX, subsect.3.1 improved, typos corrected

Scientific paper

10.1016/S0550-3213(98)00143-6

We find the microscopic spectral densities and the spectral correlators
associated with multicritical behavior for both hermitian and complex matrix
ensembles, and show their universality. We conjecture that microscopic spectral
densities of Dirac operators in certain theories without spontaneous chiral
symmetry breaking may belong to these new universality classes.

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