Boundary conditions and electromagnetic effects on the phase transition of a zero spin bosonic system

TL;DR

This paper investigates how boundary conditions and electromagnetic effects influence phase transitions in a confined zero-spin bosonic system, revealing phenomena like magnetic and electric catalysis depending on system thickness.

Contribution

It introduces a comprehensive analysis of electromagnetic and boundary effects on phase transitions using the Coleman-Weinberg method in a confined bosonic system.

Findings

Identification of magnetic catalysis effects.

Observation of electric and inverse electric catalysis.

Dependence of phenomena on system thickness.

Abstract

In the following paper, we will study a charged scalar field under an electromagnetic external field taking into account the spatial confining of the system. We shall use the Coleman-Weinberg method in one-loop approximation to obtain the effective potential of the model in the proper time representation. Through generalized Matsubara formalism, we applied several kinds of boundary conditions on the frontier of the system. The regularization of the model is performed by a scheme independent of the external electromagnetic applied field. The model presents phase transition and we carry out its analysis by the free energy density functional of the bosonic system. The findings show magnetic catalysis, electric catalysis, and inverse electric catalysis phenomena, all of them depending on the thickness of the system.