Character Expansions, Itzykson-Zuber Integrals, and the QCD Partition Function
High Energy Physics - Theory
2009-10-31 v3 Condensed Matter
High Energy Physics - Lattice
High Energy Physics - Phenomenology
Nuclear Theory
Abstract
A combinatorial formula to generate U(N) character expansions is presented. It is shown that the resulting character expansion formulas greatly simplify a number of problems where integrals over the group manifolds need to be calculated. Several examples are given, including direct and very quick calculations of the Itzykson-Zuber integral and the finite volume effective partition function of QCD in the sector with a given topological charge.
Keywords
Cite
@article{arxiv.hep-th/0007161,
title = {Character Expansions, Itzykson-Zuber Integrals, and the QCD Partition Function},
author = {A. B. Balantekin},
journal= {arXiv preprint arXiv:hep-th/0007161},
year = {2009}
}
Comments
14 pages, REVTEX