Thouless energy in QCD and effects of diffusion modes on level correlations of Dirac operator

Details Thouless energy in QCD and effects of diffusion modes on level correlations of Dirac operator Thouless energy in QCD and effects of diffusion modes on level correlations of Dirac operator

1999-03-14

arxiv.org/abs/hep-th/9903119v2

Nucl.Phys. B573 (2000) 685-702

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, section 4.3 removed, minor changes

Scientific paper

10.1016/S0550-3213(99)00782-8

The correlations of the QCD Dirac eigenvalues are studied with use of an extended chiral random matrix model. The inclusion of spatial dependence which the original model lacks enables us to investigate the effects of diffusion modes. We get analytical expressions of level correlation functions with non-universal behavior caused by diffusion modes which is characterized by Thouless energy. Pion mode is shown to be responsible for these diffusion effects when QCD vacuum is considered a disordered medium.

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