Multicritical Microscopic Spectral Correlators of Hermitian and Complex Matrices
High Energy Physics - Theory
2009-10-30 v2 Statistical Mechanics
High Energy Physics - Lattice
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9712006,
title = {Multicritical Microscopic Spectral Correlators of Hermitian and Complex Matrices},
author = {G. Akemann and P. H. Damgaard and U. Magnea and S. M. Nishigaki},
journal= {arXiv preprint arXiv:hep-th/9712006},
year = {2009}
}
Comments
29 pages, 12 figures, LateX, subsect.3.1 improved, typos corrected