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

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

2000-07-20

arxiv.org/abs/hep-th/0007161v3

Phys.Rev. D62 (2000) 085017

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, REVTEX

Scientific paper

10.1103/PhysRevD.62.085017

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.

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