Thouless energy in QCD and effects of diffusion modes on level correlations of Dirac operator
arXiv:hep-th/9903119 · doi:10.1016/S0550-3213(99)00782-8
Abstract
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.
arXiv comment17 pages, section 4.3 removed, minor changes
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Cited by in corpus (8)
- Random Matrix Theory and Chiral Symmetry in QCD
- Diquark Condensate in QCD with Two Colors at Next-to-Leading Order
- Statistical properties of the spectrum of the QCD Dirac operator at low energy
- QCD3 and the Replica Method
- Chiral Random Matrix Model for Critical Statistics
- Stochastic field theory for a Dirac particle propagating in gauge field disorder
- Energy-level correlations in chiral symmetric disordered systems: Corrections to the universal results
- Nonlinear sigma model approach for level correlations in chiral disordered systems