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

Complex spectrum of QCD at finite density

2 Aug 2016, 14:45
Portland Square (Plymouth University)

Portland Square

Plymouth University

Drake Circus Plymouth, Devon PL4 8AA, UK
Talk Quantum Field Theories of dense, cold matter Tuesday PM


Dr Hiromichi Nishimura (RIKEN BNL Research Center)


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.

Primary authors

Dr Hiromichi Nishimura (RIKEN BNL Research Center) Mr Kamal Pangeni (Washington University in St. Louis) Prof. Mike Ogilvie (Washington University in St. Louis)

Presentation Materials