Non-perturbative description of self-interacting charged scalar field at finite temperature and in the presence of an external magnetic field

摘要

It is studied the symmetry restoration in a theory of a self-interactingcharged scalar field at finite temperature and in the presence of an externalmagnetic field. The effective potential is evaluated nonperturbatively throughthe Optimized Perturbation Theory (OPT) nonperturbative method. In addition, wepresent an efficient numeric way to deal with the sum over the Landau levels inthe case of working with weak magnetic fields