Quark matter under rotation in the NJL model with vector interaction

Abstract

We study the chiral phase transition of quark matter under rotation in two-flavor Nambu-Jona-Lasinio (NJL) model. It is found that, in the rotating frame, the angular velocity plays the similar role as the baryon chemical potential and suppresses the chiral condensate, thus the chiral phase transition shows a critical end point not only in the temperature-chemical potential T − µ plane, but also in the temperature-angular momentum T − ω plane. One interesting observation is that in the T − µ plane, the presence of the angular momentum only shifts down the critical temperature T E of the CEP and does not shift the critical chemical potential µ E , and in the T − ω plane, the increase of the chemical potential only shift down the critical temperature T E and does not change the critical angular momentum ω E . The phase structure in the T − µ plane is sensitive to the coupling strength in the vector channel, while the phase structure in T − ω plane is not. It is also observed that the rotating angular velocity suppresses the kurtosis of the baryon number fluctuations, while it enhances the pressure density, energy density, the specific heat and the sound velocity.

Study of the Confinement/Deconfinement Phase Transition in Rotating Lattice SU(3) Gluodynamics

“…Our results in gluodynamics are opposite to the arguments based on Ehrenfest-Tolman effect, which predict decreasing of the critical temperature due to the rotation from general relativity. It should be noted that various effective and phenomenological models also predict decreasing of critical temperature [11][12][13][14][15][16][17][18][19][20]. It might indicate that the contribution from rotating gluons may be crucial for understanding the properties of rotating QCD medium.…”

“…There are a plenty of studies of QCD with nonzero rotation within effective models [11][12][13][14][15][16][17][18][19][20]. Most of these studies are based on Nambu-Jona-Lasinio model, where the influence of nonzero rotation on gluonic degrees of freedom is often ignored.…”

Gluodynamics and deconfinement phase transition under rotation from holography

“…Correspondingly, scalar pairing would be suppressed in rotating nuclear matter [17]. As shown in [18], there might be another critical end point in the T − ω plane. These studies are mainly based on Nambu-Jona-Lasinio(NJL) model, and the order parameters considered are mainly the chiral condensate qq .…”

“…Besides the interesting anomalous effects, like the chiral vortical effect [12][13][14][15] and chiral vortical wave [16], vorticity would significantly change the phase transition [17][18][19][20][21][22], either the location or the transition order. The location of CEP might shift towards low temperature and large µ B direction at large vorticity [17,18]. Different from magnetic field, the angular velocity ω couples with spin(or angular momentum) uniquely for different charged particles.…”

Thermodynamics of accelerated fermion gases and their instability at the Unruh temperature

“…Study of collective quantum properties of relativistic matter is crucial for the descriptions of media under extreme conditions, in particular, of the quark-gluon plasma produced in heavy-ion collisions. It led to the discovery of new important chiral phenomena [1] such as chiral magnetic effect, as well as the influence of rotation and magnetic fields on polarization [2][3][4][5] and the phase diagram [6][7][8]. A lot of efforts were made to improve our understanding of the effects associated with rotation and magnetic fields, while the role of acceleration a has been much less discussed in this context.…”