Spectral sum rules and Selberg's integral
Jacobus Verbaarschot
Abstract
Using Selberg's integral formula we derive all Leutwyler-Smilga type sum rules for one and two flavors, and for each of the three chiral random matrix ensembles. In agreement with arguments from effective field theory, all sum rules for Nf = 1 coincide for the three ensembles. The connection between spectral correlations and the low-energy effective partition function is discussed.
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