Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory
High Energy Physics - Lattice
2009-10-31 v1
Abstract
The low-lying spectrum of the Dirac operator is predicted to be universal, within three classes, depending on symmetry properties specified according to random matrix theory. The three universal classes are the orthogonal, unitary and symplectic ensemble. Lattice gauge theory with staggered fermions has verified two of the cases so far, unitary and symplectic, with staggered fermions in the fundamental representation of SU(3) and SU(2). We verify the missing case here, namely orthogonal, with staggered fermions in the adjoint representation of SU(N_c), N_c=2, 3.
Keywords
Cite
@article{arxiv.hep-lat/9902021,
title = {Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory},
author = {Robert G. Edwards and Urs M. Heller and Rajamani Narayanan},
journal= {arXiv preprint arXiv:hep-lat/9902021},
year = {2009}
}
Comments
3 pages, revtex, 2 postscript figures