Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-02-02
Phys.Lett. B329 (1994) 351-357
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, SUNY-NTG-94/6
Scientific paper
10.1016/0370-2693(94)90784-6
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 $N_f = 1$ coincide for the three ensembles. The connection between spectral correlations and the low-energy effective partition function is discussed.
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