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QCD at nonzero density: the sign problem, PT symmetry and exotic phases

Michael Ogilvie, Washington University in St. Louis
Tuesday, November 29, 2022 - 3:30pm
PAT C-421

Determination of the properties of high-density QCD is important, but difficult due to a sign problem. Methods based on PT symmetry offer new ideas for attacking this problem and connect it to problems in other areas of physics.  Using both simulations and analytic methods, a  model  field theory with a sign problem  is shown to have inhomogeneous, patterned phases.  The formation of patterned phases can be understood as a consequence of a Lifshitz instability. Analytic results from a liquid-gas model related to dense QCD with heavy quarks  show a similar phase diagram.  Recent results from a real-space renormalization group analysis also show exotic phases in Z(N) lattice field theories at finite density.

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