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

TL;DR

This paper investigates symmetry restoration in a self-interacting charged scalar field at finite temperature and magnetic field, using a nonperturbative OPT method and an efficient numerical approach for Landau level sums.

Contribution

It introduces a nonperturbative analysis of symmetry restoration with an innovative numerical method for Landau level summation under weak magnetic fields.

Findings

Nonperturbative effective potential computed at finite temperature and magnetic field.

Demonstrates symmetry restoration behavior under specified conditions.

Provides an efficient numerical technique for Landau level summation.

Abstract

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