The inhomogeneous chiral phase is discussed in QCD at finite temperature and/or density. We study the phase diagram on the density-temperature plane by taking into account the effect of the current quark mass by a variational method. We demonstrate that our framework well describes the inhomogeneous phase over the whole phase region.
DOI:https://doi.org/10.1103/PhysRevD.92.116004
© 2015 American Physical Society
Onset boundary at finite temperature and/or densities for , 2, 5 MeV. Blue circles represent the onset boundary in the chiral limit. Red (green) circle shows the onset boundary for .
Reuse & PermissionsFunction form of at the onset boundary with . Red (green) line corresponds to one of the zero-temperature limit (near the LP), respectively.
Reuse & PermissionsDifference of the thermodynamic potential between the homogeneous and inhomogeneous phases per unit volume as a function of in and . In the high region, we cannot clearly determine the actual phase transition point by the direct numerical calculation because of the shallowness of . We insert the enlarged figure near the termination boundary in the window.
Reuse & PermissionsTermination boundary in , 2, 5 MeV. Blue, red, and green circles denote the termination boundaries in , 2, 5 MeV, respectively.
Reuse & PermissionsChange of with increasing . Red (green) line denotes the constituent quark mass in the inhomogeneous phase of . Blue (magenta) line denotes the constituent quark mass in the nearly chiral-restored phase of for comparison.
Reuse & PermissionsQCD phase diagram with , 2, 5 MeV. The region surrounded by the blue circles denotes the inhomogeneous chiral phase in the chiral limit. The region surrounded by the red (green) circles denotes the inhomogeneous phase in .
Reuse & PermissionsTemperature dependence of and in high (upper panel: ) and low (lower panel: ) chemical potential regions in . Red (green) line corresponds to .
Reuse & PermissionsTemperature dependence of in fixed chemical potential. Red (green) line represents the change of at , respectively. Blue line in each panel represents the modulus of the inhomogeneous condensate as the local minimum of the thermodynamic potential.
Reuse & PermissionsDifference of the thermodynamic potential between the homogeneous and inhomogeneous phases per unit volume. Upper (lower) panel denotes as a function of in and .
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