Complex saddle points in finite-density QCD

  title={Complex saddle points in finite-density QCD},
  author={Hiromichi Nishimura and Michael C. Ogilvie and Kamal Pangeni},
  journal={arXiv: High Energy Physics - Phenomenology},
We consider complex saddle points in QCD at finite temperature and density, which are constrained by symmetry under charge and complex conjugations. This approach naturally incorporates color neutrality, and the Polyakov loop and the conjugate loop at the saddle point are real but not identical. Moreover, it can give rise to a complex mass matrix associated with the Polyakov loops, reflecting oscillatory behavior in color-charge densities. This aspect of the phase structure appears to be… 

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PT symmetry in classical and quantum statistical mechanics
  • Peter N. Meisinger, M. Ogilvie
  • Physics, Mathematics
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2013
-symmetric Hamiltonians and transfer matrices arise naturally in statistical mechanics. These classical and quantum models often require the use of complex or negative weights and thus fall outside