Neutral meson properties in hot and magnetized quark matter: A new magnetic field independent regularization scheme applied to an NJL-type model

A magnetic field independent regularization scheme (zMFIR) based on the Hurwitz-Riemann zeta function is introduced. The new technique is applied to the regularization of the mean-field thermodynamic potential and mass gap equation within the SU(2) Nambu-Jona-Lasinio model in a hot and magnetized medium. The equivalence of the new and the standard MFIR scheme is demonstrated. The neutral meson pole mass is calculated in a hot and magnetized medium and the advantages of using the new regularization scheme are shown.

Figure 1

Diagrammatic representation of the RPA approximation.

Figure 2

Masses as a function of the temperature for $eB=0$.

Figure 3

Masses as a function of the temperature for different values of magnetic field.

Figure 4

Masses as a function of the temperature for different values of magnetic field using the thermomagnetic dependence on the coupling constant $G(eB,T)$.