Date: Apr 19 (Tue)
Time: 12:00
Place: Main Research bldg. 433
Speaker: Hiromichi Nishimura (RIKEN)
Title: Complex spectrum of finite-density QCD
Abstract: We consider the spectrum of transfer matrix eigenvalues associated with Polyakov loops in finite-density lattice QCD in the strong-coupling and heavy-quark limits. The transfer matrix at finite density is non-Hermitian, and its eigenvalues become complex as a manifestation of the sign problem. We show that the symmetry under charge and complex conjugations ensures that the eigenvalues are either real or part of a complex conjugate pair, and the complex pairs lead to damped oscillatory behavior in Polyakov loop correlation functions, which also appeared in our previous phenomenological models using complex saddle points. We argue that the results reflect oscillatory behavior in color-charge densities and it should be observable in lattice simulations of QCD at finite density
