Odd-flavored QCD_3 and Random Matrix Theory
High Energy Physics - Theory
2009-10-31 v2
Abstract
We consider QCD_3 with an odd number of flavors in the mesoscopic scaling region where the field theory finite-volume partition function is equivalent to a random matrix theory partition function. We argue that the theory is parity invariant at the classical level if an odd number of masses are zero. By introducing so-called pseudo-orthogonal polynomials we are able to relate the kernel to the kernel of the chiral unitary ensemble in the sector of topological charge . We prove universality and are able to write the kernel in the microscopic limit in terms of field theory finite-volume partition functions.
Keywords
Cite
@article{arxiv.hep-th/9809194,
title = {Odd-flavored QCD_3 and Random Matrix Theory},
author = {Jesper Christiansen},
journal= {arXiv preprint arXiv:hep-th/9809194},
year = {2009}
}
Comments
12 pages, Latex2e, 1 figure. Misprints corrected, minor changes in wording, one reference changed