In the SU(3) NJL model, the choice among magnetic field-independent, soft cut-off, and Pauli-Villars regularization strongly changes pressure, specific heat, and sound speed of hot magnetized quark matter, and regularizing the temperature part can produce unphysical behavior.
Chiral transition in a strong magnetic background
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abstract
The presence of a strong magnetic background can modify the nature and the dynamics of the chiral phase transition at finite temperature. We compute the modified effective potential in the linear sigma model with quarks to one loop in the $\bar{MS}$ scheme for $N_{f}=2$. For fields $eB\sim 5 m_{\pi}^{2}$ and larger a crossover is turned into a weak first-order transition. We discuss possible implications for non-central heavy ion collisions at RHIC and LHC, and for the primordial QCD transition.
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Thermomagnetic Effects of Quark Matter in the NJL Model: Application of Regularization Schemes
In the SU(3) NJL model, the choice among magnetic field-independent, soft cut-off, and Pauli-Villars regularization strongly changes pressure, specific heat, and sound speed of hot magnetized quark matter, and regularizing the temperature part can produce unphysical behavior.