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Overlap Dirac operator at nonzero chemical potential and random matrix theory

DOI to cite this document:
Bloch, Jacques ; Wettig, Tilo
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Date of publication of this fulltext: 05 Aug 2009 13:33


We$^{ }$show how to introduce a quark chemical potential in the$^{ }$overlap Dirac operator. The resulting operator satisfies a Ginsparg-Wilson relation$^{ }$and has exact zero modes. It is no longer $\gamma$$_{5}$$^{ }$Hermitian, but its nonreal eigenvalues still occur in pairs. We$^{ }$compute the spectral density of the operator on the lattice$^{ }$and show that, for small eigenvalues, the ...


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