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Light quarks in the screened dyon-antidyon Coulomb liquid model. II.

Yizhuang LiuDepartment of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USAEdward ShuryakDepartment of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USAIsmaïl ZahedDepartment of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USA
2015en
ABI

Аннотация

We discuss an extension of the dyon-antidyon liquid model that includes light quarks in the dense center symmetric phase. In this work, like in our previous one, we use the simplest color SU(2) group. We start with a single fermion flavor ${N}_{f}=1$ and explicitly map the model onto a three-dimensional quantum effective theory with a fermion that is only ${\mathrm{U}}_{V}(1)$ symmetric. We use it to show, in the mean-field approximation, that in the dense center, the symmetric regime leads to the nonzero chiral condensate. We estimate its value and the $\ensuremath{\sigma},\ensuremath{\eta}$ meson masses. We then extend our analysis to an arbitrary number of quark flavors ${N}_{f}>1$ and colors ${N}_{c}>2$ and show that in the dense plasma phase the spontaneous chiral symmetry breaking disappears when ${N}_{f}/{N}_{c}\ensuremath{\ge}2$. A reorganization of the ensemble into a gas of dyon-antidyon molecules restores chiral symmetry but may still preserve center symmetry in the linearized approximation.

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Цитирований: 3Использованных источников: 0