Speaker
Prof.
Shinsuke Nishigaki
(Shimane University)
Description
Based on the exact relationship to random matrix theory, we present alternative methods of evaluating the probability distribution of the k-th smallest Dirac eigenvalue in the epsilon regime of QCD and related gauge theories. By employing (1) the Nystrom-type evaluation of Fredholm determinants and Pfaffians and/or (2) the interrelationship between tau functions for random matrix ensembles at beta=2,1,4 sharing the weight function, practical troubles and a technical restriction in our previous work [PRD63, 045012 (2001)] are resolved. Especially, this update enables the computation of individual Dirac eigenvalue distributions for a lattice gauge theory with 4n staggered flavors in the pseudo-real representation.
Primary author
Prof.
Shinsuke Nishigaki
(Shimane University)
