Distributions of Dirac Operator Eigenvalues

Details Distributions of Dirac Operator Eigenvalues Distributions of Dirac Operator Eigenvalues

2003-11-19

arxiv.org/abs/hep-th/0311171v2

Phys.Lett. B583 (2004) 199-206

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, 4 figures; typos in appendix corrected, published version

Scientific paper

10.1016/j.physletb.2003.12.024

The distribution of individual Dirac eigenvalues is derived by relating them to the density and higher eigenvalue correlation functions. The relations are general and hold for any gauge theory coupled to fermions under certain conditions which are stated. As a special case, we give examples of the lowest-lying eigenvalue distributions for QCD-like gauge theories without making use of earlier results based on the relation to Random Matrix Theory.

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