Thouless energy in QCD and effects of diffusion modes on level correlations of Dirac operator
High Energy Physics - Theory
2009-10-31 v2 High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.hep-th/9903119,
title = {Thouless energy in QCD and effects of diffusion modes on level correlations of Dirac operator},
author = {K. Takahashi and S. Iida},
journal= {arXiv preprint arXiv:hep-th/9903119},
year = {2009}
}
Comments
17 pages, section 4.3 removed, minor changes