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Character Expansions, Itzykson-Zuber Integrals, and the QCD Partition Function
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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.
Forward citations
Cited by 2 Pith papers
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Phases in WLZZ Matrix Models
For WLZZ two-matrix models, integration contours describe only a finite-N subspace of Ward identity solutions, and the full solution space is recovered only in the N-to-infinity limit.
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Analysis of the QCD Kondo phase using random matrices
A novel random matrix model for the QCD Kondo phase is solved in the large-N limit, revealing three phases and deriving low-energy effective theories for Nambu-Goldstone modes.
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