Chiral phase transition of a dense, magnetized and rotating quark matter

Abstract

We investigate the chiral symmetry restoration/breaking of a dense, magnetized and rotating quark matter within the Nambu Jona–Lasinio model including Nf=2 and Nc=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 μB, we sketch the phase diagrams Tc(μB) and Tc(RΩ) in different cases. As a result, we always observe inverse-rotational catalysis mean to decrease Tc by increasing RΩ. But the magnetic field has a more complex structure in the phase diagram. For slowly rotating plasma, we find that Tc decreases by increasing eB, while in the fast rotating plasma we see that Tc 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.