Overlap Dirac operator at nonzero chemical potential and random matrix theory
High Energy Physics - Lattice
2009-01-14 v1
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 of nonhermitian chiral random matrix theory for both trivial and nontrivial topology.
Cite
@article{arxiv.hep-lat/0604020,
title = {Overlap Dirac operator at nonzero chemical potential and random matrix theory},
author = {Jacques Bloch and Tilo Wettig},
journal= {arXiv preprint arXiv:hep-lat/0604020},
year = {2009}
}
Comments
4 pages, 2 figures