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Title: Individual complex Dirac eigenvalue distributions from random matrix theory and lattice QCD at nonzero chemical potential
Authors: Akemann, G
Bloch, J
Shifrin, L
Wettig, T
Keywords: Random matrix theory;Lattice gauge theory
Issue Date: 2007
Citation: Physical Review Letters 100: 032002, Oct 2007
Abstract: We analyze how individual eigenvalues of the QCD Dirac operator at nonzero chemical potential are distributed in the complex plane. Exact and approximate analytical results for such distributions are derived from non-Hermitian random matrix theory. When comparing these to lattice QCD spectra close to the origin, excellent agreement is found for zero and nonzero topology at several values of the chemical potential. Our analytical results are also applicable to other physical systems in the same symmetry class.
Appears in Collections:Mathematical Physics
Dept of Mathematics Research Papers
Mathematical Sciences

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