Correlations for non-Hermitian Dirac operators: chemical potential in three-dimensional QCD

نویسنده

  • G. Akemann
چکیده

In [1] a RMM has been introduced to study the influence of a chemical potential on the support of Dirac operator eigenvalues. Here, we aim to derive microscopic correlations of complex eigenvalues at zero virtuality which are important for spontaneous symmetry breaking. For simplicity we consider a non-chiral RMM relevant for three-dimensional QCD with broken flavor symmetry [2] as well as in four dimension away from zero. In the spirit of [2] we replace the QCD Dirac operator with a constant complex matrix of size N ×N as the Dirac eigenvalues become complex at finite density:

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تاریخ انتشار 2001