Orateur
Description
In this work, it is done a study of the quark matter accordingly to the two-flavor Nambu-Jona Lasinio model, which it is considered only the up and down quark flavors, and it is done an analysis adding non-linear effects from QED (Quantum Electrodynamics) through the use of the effective lagrangian of Euler and Heisenberg. From the complete lagrangian, we obtain the gap equation that dictates the effective mass of the quarks in the model. We discuss the behavior of the effective mass in three different scenarios: adding only magnetic field, only electric field, and adding both magnetic and electric field parallel. From the first scenario, we can notice the behavior dictated by the phenomenon of magnetic catalysis. From the second one, we can notice the opposite, the inverse catalysis, demonstrating that the electric field tends to restore the chiral symmetry of the model. Finally, in the third scenario, we produced an effective mass surface plot as a function of both fields, so we could evaluate the limit of null magnetic field and null electric field separately, beyond that, we obtain the behavior of both fields increasing in the same intensity, in order to analyze this competition between phenomena. This last result shows that for the most intense fields, in general, the effect of the electric field is predominant and makes the effective mass decrease. Beyond the results for effective mass, we calculate another result predicted by the QED: the Schwinger pair production rate, $\Gamma$, specifically the rate in units of $GeV^4$ for the production of quark-antiquark pairs in our approximation within the model in the case of magnetic and electric fields parallel. We obtained a $\Gamma$ surface plot as a function of both fields and evaluated the limit of null magnetic field so we could summarize the known result of only the electric field already described in the literature. Finally, we evaluate and analyze the behavior of the pressure of the matter as a function of the magnetic and electric field intensities.
