Abstract
In this work, we improve our model by adding the strange quark and the Polyakov loop. We then build a thermo-magnetic dependence for the G and K couplings of the SU(3) PNJL model by fitting lattice QCD calculations for the average and the difference of u and d quark condensates under a strong magnetic field.
Highlights
NJL based interactions have been used as effective models for QCD for quite some time due to their simplicity and clear description of fundamental properties like chiral symmetry breaking and light hadron spectrum [1,2,3,4]
If we take a standard parametrization of the PNJL model, with no magnetic field, to calculate the quark condensates and compare to lattice QCD simulations, we can see in Fig. 1 that the position of the phase transition is wrong and its sharpness
This suggests that the effective model needs to be modified in order to describe the behavior of the condensates revealed by lattice QCD calculations
Summary
NJL based interactions have been used as effective models for QCD for quite some time due to their simplicity and clear description of fundamental properties like chiral symmetry breaking and light hadron spectrum [1,2,3,4]. If we take a standard parametrization of the PNJL model, with no magnetic field, to calculate the quark condensates and compare to lattice QCD simulations, we can see in Fig. 1 that the position of the phase transition is wrong and its sharpness. This suggests that the effective model needs to be modified in order to describe the behavior of the condensates revealed by lattice QCD calculations. We make a secondary fit in order to have the couplings at any temperature for any magnetic field
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