Thermomagnetic Effects of Quark Matter in the NJL Model: Application of Regularization Schemes

In the SU(3) Nambu-Jona-Lasinio (NJL) model of a thermally magnetized medium, the regularization methods adopted for the thermodynamic potential and the mass gap equation are utilized to calculate the relevant thermodynamic quantities in thermomagnetic quark matter. When dealing with the thermodynamic quantities and the gap equation, three schemes can be chosen, namely magnetic field-independent regularization, soft cut-off regularization, and Pauli-Villars regularization. These three regularization schemes have different influences on the properties of thermomagnetic quark matter, and different choices of regularization schemes will also lead to different effects in the calculation of the properties of thermomagnetic quark matter.