Smallest Dirac Eigenvalue Distribution from Random Matrix Theory
High Energy Physics - Theory
2016-08-25 v2
Abstract
We derive the hole probability and the distribution of the smallest eigenvalue of chiral hermitian random matrices corresponding to Dirac operators coupled to massive quarks in QCD. They are expressed in terms of the QCD partition function in the mesoscopic regime. Their universality is explicitly related to that of the microscopic massive Bessel kernel.
Keywords
Cite
@article{arxiv.hep-th/9803007,
title = {Smallest Dirac Eigenvalue Distribution from Random Matrix Theory},
author = {S. M. Nishigaki and P. H. Damgaard and T. Wettig},
journal= {arXiv preprint arXiv:hep-th/9803007},
year = {2016}
}
Comments
4 pages, 1 figure, REVTeX. Minor typos in subscripts corrected. Version to appear in Phys. Rev. D