Speaker
Description
We study the two flavor Nambu--Jona-Lasinio model within the Mean Field Approximation and RPA framework to evaluate the pole masses of the $\sigma$ and $\pi^0$ mesons in the presence of a constant magnetic field at finite temperatures.
First, we emphasize the importance of the regularization method used in this work. For this aim, we explicitly employ the Magnetic Field Independent Regularization(MFIR) and as we show, this prescription does not present any non-physical oscillation in quark condensates or depends of extra parameters in comparison with other methods of regularization most used in the literature.
Also, this choice generates results which agree well with those produced by lattice simulations for the quark condensate.
We present also an alternative representation of the zeta function which is more convenient to evaluate numerically the summation in the Landau Levels in our equations. As a prediction of our calculations, we can see that the Mott dissociation temperature rises as the magnetic field increases and a abrupt jump of the meson masses to the the ressonant masses at $T=T_{Mott}$.
Our method also proves to be useful in evaluations of quantities such as the equation of state of magnetized quark matter with mesonic contributions, work that is in progress.
