Character Expansions, Itzykson-Zuber Integrals, and the QCD Partition Function

Preprint

19 June 2001

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/0007161

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

ITZYKSON ZUBER INTEGRALS
CHARACTER EXPANSIONS
PARTITION FUNCTION
QCD PARTITION

All Related Versions

Version 1, 2000-07-20, ArXiv
Version 2, 2000-07-24, ArXiv
Version 3, 2001-06-19, ArXiv
Published version: Physical Review D, 62 (8), 085017.

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