Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2006-04-24
Phys.Rev.Lett.97:012003,2006
Physics
High Energy Physics
High Energy Physics - Lattice
4 pages, 2 figures
Scientific paper
10.1103/PhysRevLett.97.012003
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 of nonhermitian chiral random matrix theory for both trivial and nontrivial topology.
Bloch Jacques
Wettig Tilo
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