Random Matrix Theory, Chiral Perturbation Theory, and Lattice Data

Details Random Matrix Theory, Chiral Perturbation Theory, and Lattice Data Random Matrix Theory, Chiral Perturbation Theory, and Lattice Data

1999-07-20

arxiv.org/abs/hep-lat/9907014v1

Phys.Lett.B466:293-300,1999

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 12 pages, 7 .eps figures

Scientific paper

10.1016/S0370-2693(99)01167-3

Recently, the chiral logarithms predicted by quenched chiral perturbation theory have been extracted from lattice calculations of hadron masses. We argue that the deviations 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.

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