“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 17060
School of Particles and Accelerator
  Title:   Chiral phase transition of a dense, magnetized and rotating quark matter
1.  Seyed Mohammad Ali Tabatabaee Mehr
2.  Farid Taghinavaz
  Status:   Published
  Journal: Annals of Physics
  No.:  169357
  Vol.:  454
  Year:  2023
  Supported by:  IPM
We investigate the chiral symmetry restoration/breaking of a dense, magnetized and rotating quark matter within the Nambu Jona-Lasinio model including $N_f=2$ and $N_c=3$ numbers of flavors and colors, respectively. Imposing the spectral boundary conditions as well as the positiveness of energy levels lead to a correlation between the magnetic and rotation fields such that strongly magnetized plasma can not rotate anymore. We solve the gap equation at zero and finite temperature. At finite temperature and baryon chemical potential $\mu_B$, we sketch the phase diagrams $T_c(\mu_B)$ and $T_c(R\Omega)$ in different cases. As a result, we always observe inverse-rotational catalysis mean to decrease $T_c$ by increasing $R\Omega$. But the magnetic field has a more complex structure in the phase diagram. For slowly rotating plasma, we find that $T_c$ decreases by increasing $eB$, while in the fast rotating plasma we see that $T_c$ increases by increasing $eB$. Also, we locate exactly the position of Critical End Point by solving the equations of first and second derivatives of effective action with respect to the order parameters, simultaneously.

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