Distribution of the Dirac modes in QCD
Abstract
It was established that distribution of the near-zero modes of the Dirac operator is consistent with the Chiral Random Matrix Theory (CRMT) and can be considered as a consequence of spontaneous breaking of chiral symmetry (SBCS) in QCD. The higher-lying modes of the Dirac operator carry information about confinement physics and are not affected by SBCS. We study distributions of the near-zero and higher-lying modes of the overlap Dirac operator within dynamical simulations. We find that distributions of both near-zero and higher-lying modes are the same and follow the Gaussian Unitary Ensemble of Random Matrix Theory. This means that randomness, while consistent with SBCS, is not a consequence of SBCS and is related to some more general property of QCD in confinement regime.
Cite
@article{arxiv.1707.07055,
title = {Distribution of the Dirac modes in QCD},
author = {M. Catillo and L. Ya. Glozman},
journal= {arXiv preprint arXiv:1707.07055},
year = {2018}
}
Comments
Contribution to Lattice 2017 proceedings, 18-24 June, 2017, Granada, Spain