出版社:SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要: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 g5-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.