Spectra of massive and massless QCD Dirac operators: A novel link
Abstract
We show that integrable structure of chiral random matrix models incorporating global symmetries of QCD Dirac operators (labeled by the Dyson index beta=1,2, and 4) leads to emergence of a connection relation between the spectral statistics of massive and massless Dirac operators. This novel link established for beta-fold degenerate massive fermions is used to explicitly derive (and prove the random matrix universality of) statistics of low--lying eigenvalues of QCD Dirac operators in the presence of SU(2) massive fermions in the fundamental representation (beta=1) and SU(N_c >= 2) massive adjoint fermions (beta=4). Comparison with available lattice data for SU(2) dynamical staggered fermions reveals a good agreement.
Cite
@article{arxiv.hep-th/0001188,
title = {Spectra of massive and massless QCD Dirac operators: A novel link},
author = {G. Akemann and E. Kanzieper},
journal= {arXiv preprint arXiv:hep-th/0001188},
year = {2008}
}
Comments
4 pages, published version