Randomness on the Lattice

Details Randomness on the Lattice Randomness on the Lattice

2000-08-31

arxiv.org/abs/hep-lat/0008025v1

Nucl.Phys.Proc.Suppl. 90 (2000) 219-226

Physics

High Energy Physics

High Energy Physics - Lattice

Invited talk at the International Light-Cone Meeting on Non-Perturbative QCD and Hadron Phenomenology, Heidelberg 12-17 June 2

Scientific paper

10.1016/S0920-5632(00)00900-2

In this lecture we review recent lattice QCD studies of the statistical properties of the eigenvalues of the QCD Dirac operator. We find that the fluctuations of the smallest Dirac eigenvalues are described by chiral Random Matrix Theories with the global symmetries of the QCD partition function. Deviations from chiral Random Matrix Theory beyond the Thouless energy can be understood analytically by means of partially quenched chiral perturbation theory.

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