Massive chiral random matrix ensembles at beta = 1 & 4 : QCD Dirac operator spectra
High Energy Physics - Theory
2009-10-31 v2 High Energy Physics - Lattice
Abstract
The zero momentum sectors in effective theories of QCD coupled to pseudoreal (two colors) and real (adjoint) quarks have alternative descriptions in terms of chiral orthogonal and symplectic ensembles of random matrices. Using this correspondence, we compute correlation functions of Dirac operator eigenvalues within a sector with an arbitrary topological charge in a presence of finite quark masses of the order of the smallest Dirac eigenvalue. These novel correlation functions, expressed in terms of Pfaffians, interpolate between known results for the chiral and quenched limits as quark masses vary.
Cite
@article{arxiv.hep-th/0003009,
title = {Massive chiral random matrix ensembles at beta = 1 & 4 : QCD Dirac operator spectra},
author = {T. Nagao and S. M. Nishigaki},
journal= {arXiv preprint arXiv:hep-th/0003009},
year = {2009}
}
Comments
12 pages, REVTeX 3.1, 2 figures; (v2) corrections on signatures in eqs.(48), (53), (C7), and on referential notes