The role of Debye mass in the chiral crossover in a strong magnetic field

In this paper, the Debye mass of quarks is investigated in the Nambu–Jona-Lasinio model at zero and nonzero chemical potentials. In a uniform plasma, the Debye mass usually behaves as a monotonous increasing function of the temperature, the chemical potential and the magnetic field. At the fixed coupling interaction G, we find that the magnetic catalysis (MC) on the occurrence of the chiral restoration could be revealed by the susceptibility of the Debye mass dm_D/dT at low chemical potential and by the quantity Tdm_D/dT in the region of moderate densities. However, the inverse MC is realized under a thermomagnetic coupling constant G(B, T) by the behavior of the Debye mass at both zero and nonzero chemical potentials.