English

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 ν=1/2\nu={1/2}. 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