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| Paper IPM / Particles / 17493 |
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| Abstract: | |
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We study the inhomogeneous phase of a two-flavor quark matter under rotation at finite temperature and density using the Nambu-Jona-Lasinio model. To do this, we consider the chiral broken phase, in particular, described by the so-called dual chiral density wave which is formed as a standing wave of simultaneous scalar and pseudoscalar condensates. The solution of the corresponding Dirac equation as well as the energy spectrum found in the mean-field approximation. We then use the thermodynamic potential calculated for this model, to study the ${\mu}$ and $\mathrm{{\Omega}}$ dependence of constituent mass and the wave vector at $T=0$. We find there exist two islands in the ${\mu}{-}\mathrm{{\Omega}}$ plane that the dual-chiral density wave survives. The first region lies at intermediate densities and small $\mathrm{{\Omega}}$. We observe, by increasing the angular velocity of matter, dual-chiral density wave forms in regions with smaller chemical potential. On the other hand, in contrast to the former, the second region is located at the large $\mathrm{{\Omega}}$ and small densities. Finally, we study this phase of quark matter at finite temperature and present $T{-}{\mu}$, $T{-}\mathrm{{\Omega}}$, and ${\mu}{-}\mathrm{{\Omega}}$ phase portraits of a hot-rotating quark matter at finite density.
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