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Individual Complex Dirac Eigenvalue Distributions from Random Matrix Theory and Comparison to Quenched Lattice QCD with a Quark Chemical Potential

Akemann, G. ; Bloch, J. ; Shifrin, L. ; Wettig, T.



Abstract

We analyze how individual eigenvalues of the QCD Dirac operator at nonzero quark chemical potential are distributed in the complex plane. Exact and approximate analytical results for both quenched and unquenched distributions are derived from non-Hermitian random matrix theory. When comparing these to quenched lattice QCD spectra close to the origin, excellent agreement is found for zero and ...

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