Distributions of Dirac Operator Eigenvalues
High Energy Physics - Theory
2009-11-10 v2 High Energy Physics - Lattice
Abstract
The distribution of individual Dirac eigenvalues is derived by relating them to the density and higher eigenvalue correlation functions. The relations are general and hold for any gauge theory coupled to fermions under certain conditions which are stated. As a special case, we give examples of the lowest-lying eigenvalue distributions for QCD-like gauge theories without making use of earlier results based on the relation to Random Matrix Theory.
Cite
@article{arxiv.hep-th/0311171,
title = {Distributions of Dirac Operator Eigenvalues},
author = {G. Akemann and P. H. Damgaard},
journal= {arXiv preprint arXiv:hep-th/0311171},
year = {2009}
}
Comments
9 pages, 4 figures; typos in appendix corrected, published version