Random Matrix Theory and the Spectra of Overlap Fermions

Details Random Matrix Theory and the Spectra of Overlap Fermions Random Matrix Theory and the Spectra of Overlap Fermions

2003-09-09

arxiv.org/abs/hep-lat/0309030v1

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, talk presented at Lattice2003(chiral)

Scientific paper

10.1016/S0920-5632(03)02612-4

The application of Random Matrix Theory to the Dirac operator of QCD yields predictions for the probability distributions of the lowest eigenvalues. We measured Dirac operator spectra using massless overlap fermions in quenched QCD at topological charge \nu = 0, +- 1 and +- 2, and found agreement with those predictions - at least for the first non-zero eigenvalue - if the volume exceeds about (1.2 fm)^4.

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