Smallest Dirac Eigenvalue Distribution from Random Matrix Theory

Details Smallest Dirac Eigenvalue Distribution from Random Matrix Theory Smallest Dirac Eigenvalue Distribution from Random Matrix Theory

1998-03-02

arxiv.org/abs/hep-th/9803007v2

Phys.Rev. D58 (1998) 087704

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, 1 figure, REVTeX. Minor typos in subscripts corrected. Version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.58.087704

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.

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