Random matrix theory, chiral perturbation theory, and lattice data

Recently, the chiral logarithms predicted by quenched chiral perturbation t heory have been extracted from lattice calculations of hadron masses. The d eviations of lattice results from random matrix theory starting around the so-called Thouless energy can be understood in terms of chiral perturbation theory as well. Comparison of lattice data with chiral perturbation theory formulae allows us to compute the pion decay constant. We present results from a calculation for quenched SU(2) with Kogut-Susskind fermions at beta = 2.0 and 2,2. (C) 1999 Published by Elsevier Science B.V. All rights reser ved.