In the random phase approximation, a convenient renormalization scheme for momentum-dependent meson self-energies shows that the moat regime extent in the QCD phase diagram depends critically on in-medium quark-meson interactions.
Absence of Bose condensation on lattices with moat bands
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abstract
We study hard-core bosons on a class of frustrated lattices with the lowest Bloch band having a degenerate minimum along a closed contour, the moat, in the reciprocal space. We show that at small density the ground state of the system is given by a noncondensed state, which may be viewed as a state of fermions subject to Chern-Simons gauge field. At fixed density of bosons, such a state exhibits domains of incompressible liquids. Their fixed densities are given by fractions of the reciprocal-space area enclosed by the moat.
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Dissecting the moat regime at low energies I: Renormalization and the phase structure
In the random phase approximation, a convenient renormalization scheme for momentum-dependent meson self-energies shows that the moat regime extent in the QCD phase diagram depends critically on in-medium quark-meson interactions.