1-3 August 2016
Plymouth University
Europe/London timezone
The 14th International workshop on QCD in extreme conditions, Aug. 1-3 2016
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Contribution Talk

Plymouth University - Portland Square
Quantum Field Theories of dense, cold matter

Complex spectrum of QCD at finite density


  • Dr. Hiromichi NISHIMURA

Primary authors


We consider the spectrum of transfer matrix eigenvalues associated with Polyakov loops in lattice QCD at strong coupling. 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 global symmetries of finite-density QCD ensure that the complex eigenvalues are part of a complex conjugate pair, and they lead to sinusoidally modulated decay in Polyakov loop correlation functions. We argue that the results reflect oscillatory behavior in color-charge densities reminiscent of density-density correlation functions in liquids, and it is generic in spin models for QCD at finite density, as well as phenomenological models using complex saddle points.