Speaker
Description
In this talk, we present the implementation of the replica trick introduced by Parisi to incorporate fluctuations of external fields into the QED Lagrangian. As a first approximation, we study how magnetic and thermal fluctuations, described by white noise, induces effective interactions between fermions, exploring the consequences in various scenarios. Specifically, we demonstrate that magnetic fluctuations, from the perspective of perturbation theory and effective action, break the $U(1)$ symmetry of QED. This results in surviving vector currents and the generation of an effective magnetic mass for photons. Furthermore, we show that magnetic fluctuations break spatial symmetries in such a way that four fermion resonances, with their corresponding spectral widths, can be distinguished, leading to the propagation of four independent fermion quasi-particle modes. Additionally, we compute the effects of magnetic fluctuations on photon and dilepton production during the thermalized stages of heavy-ion collisions. Finally, we report the implications of incorporating thermal fluctuations in the Quark-Gluon Plasma (QGP) phase on the deconfinement temperature.