Nonzero chemical potential in the overlap Dirac operator and comparison to random matrix theory

Details Nonzero chemical potential in the overlap Dirac operator and comparison to random matrix theory Nonzero chemical potential in the overlap Dirac operator and comparison to random matrix theory

2006-09-13

arxiv.org/abs/hep-lat/0609020v1

PoS LAT2006:206,2006

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, contribution to XXIVth International Symposium on Lattice Field Theory

Scientific paper

In this talk we present the results published recently in Ref. [1], where we showed 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 of non-Hermitian chiral random matrix theory for both trivial and nontrivial topology. We also explain an observed change in the number of zero modes as a function of chemical potential.

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