Lattice QCD in the epsilon-regime and random matrix theory

Details Lattice QCD in the epsilon-regime and random matrix theory Lattice QCD in the epsilon-regime and random matrix theory

2003-09-30

arxiv.org/abs/hep-lat/0309189v2

JHEP 0311 (2003) 023

Physics

High Energy Physics

High Energy Physics - Lattice

Plain TeX source, 17 pages, figures included, minor changes in tables 3 and 4

Scientific paper

10.1088/1126-6708/2003/11/023

In the epsilon-regime of QCD the main features of the spectrum of the low-lying eigenvalues of the (euclidean) Dirac operator are expected to be described by a certain universality class of random matrix models. In particular, the latter predict the joint statistical distribution of the individual eigenvalues in any topological sector of the theory. We compare some of these predictions with high-precision numerical data obtained from lattice QCD for a range of lattice spacings and volumes. While no complete matching is observed, the results agree with theoretical expectations at volumes larger than about 5 fm^4.

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