Thermomagnetic properties of strongly magnetized quark-gluon plasma in a quasi-particle description

In this paper, we have extended the improved quasi-particle model proposed by Cao et al. 48 to study the magnetized QCD matter. For the purpose, we have first introduced a classical background field [Formula: see text] in the effective Lagrangian based on Zong‘s method and address the divergence of the vacuum energy for a quasi-particle system in the presence of a strong magnetic field. We then obtain a well-defined partition function and compute anisotropic pressure for (2+1)-flavor quark gluon plasma (QGP). The masses of quasi-particles depend on both temperature and magnetic field in the extended self-consistent model.Further, we provide a comprehensive discussion on the thermomagnetic behavior of QGP in the lowest Landau level.