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Overlap Dirac operator at nonzero chemical potential and random matrix theory

DOI to cite this document:
10.5283/epub.1846
Bloch, Jacques ; Wettig, Tilo
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Date of publication of this fulltext: 05 Aug 2009 13:33


Abstract

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 data agree with analytical predictions ...

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