出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：For QCD at non-zero chemical potential μ, the Dirac eigenvalues are scattered in the complex
plane. We define a notion of ordering for individual eigenvalues in this case and derive the distributions
of individual eigenvalues from random matrix theory (RMT). We distinguish two cases
depending on the parameter a = μ2F2V, where V is the volume and F is the familiar low-energy
constant of chiral perturbation theory. For small a, we use a Fredholm determinant expansion and
observe that already the first few terms give an excellent approximation. For large a, all spectral
correlations are rotationally invariant, and exact results can be derived. We compare the RMT
predictions to lattice data and in both cases find excellent agreement in the topological sectors
n = 0,1, 2.
