Microscopic Spectra of Dirac Operators and Finite-Volume Partition Functions
High Energy Physics - Theory
2009-10-31 v3
Abstract
Exact results from random matrix theory are used to systematically analyse the relationship between microscopic Dirac spectra and finite-volume partition functions. Results are presented for the unitary ensemble, and the chiral analogs of the three classical matrix ensembles: unitary, orthogonal and symplectic, all of which describe universality classes of gauge theories with fermions in different representations. Random matrix theory universality is reconsidered in this new light.
Keywords
Cite
@article{arxiv.hep-th/9801133,
title = {Microscopic Spectra of Dirac Operators and Finite-Volume Partition Functions},
author = {G. Akemann and P. H. Damgaard},
journal= {arXiv preprint arXiv:hep-th/9801133},
year = {2009}
}
Comments
LaTeX, 18 pages, few more misprints corrected, Version to appear in Nucl. Phys. B