Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2001-05-14
Phys.Rev.D65:034503,2002
Physics
High Energy Physics
High Energy Physics - Lattice
8 pages, RevTeX, 15 .eps figures
Scientific paper
10.1103/PhysRevD.65.034503
We calculate complete spectra of the Kogut-Susskind Dirac operator on the lattice in quenched SU(3) gauge theory for various values of coupling constant and lattice size. From these spectra we compute the connected and disconnected scalar susceptibilities and find agreement with chiral random matrix theory up to a certain energy scale, the Thouless energy. The dependence of this scale on the lattice volume is analyzed. In the case of the connected susceptibility this dependence is anomalous, and we explain the reason for this. We present a model of chiral perturbation theory that is capable of describing the data beyond the Thouless energy and that has a common range of applicability with chiral random matrix theory.
Göckeler Meinulf
Hehl Holger
Rakow Paul E. L.
Sch{ä}fer Andreas
Wettig Tilo
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