Beyond the Thouless energy

Details Beyond the Thouless energy Beyond the Thouless energy

1999-08-25

arxiv.org/abs/hep-lat/9908043v2

Nucl.Phys.Proc.Suppl.83:974-976,2000

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(Theoretical Developments), 3 pages, 3 figures, typo in Ref. [10] corrected

Scientific paper

The distribution and the correlations of the small eigenvalues of the Dirac operator are described by random matrix theory (RMT) up to the Thouless energy $E_c\propto 1/\sqrt{V}$, where $V$ is the physical volume. For somewhat larger energies, the same quantities can be described by chiral perturbation theory (chPT). For most quantities there is an intermediate energy regime, roughly $1/V

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