“School of Particles And Accelerator”
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Paper IPM / Particles And Accelerator / 17493  


Abstract:  
We study the inhomogeneous phase of a twoflavor quark matter under rotation at finite temperature and density using the NambuJonaLasinio model. To do this, we consider the chiral broken phase, in particular, described by the socalled 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 meanfield 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 dualchiral density wave survives. The first region lies at intermediate densities and small $\mathrm{{\Omega}}$. We observe, by increasing the angular velocity of matter, dualchiral 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 hotrotating quark matter at finite density.
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