标题： 边界条件和电磁效应对零自旋玻色子系统相变的影响 显示英文标题

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

摘要： 在下面的论文中，我们将研究一个带电标量场，在考虑系统空间限制的情况下处于电磁外部场中。 我们将使用Coleman-Weinberg方法在单环近似下，以适当时间表示法获得模型的有效势。 通过广义Matsubara形式，我们在系统的边界上应用了几种边界条件。 模型的正则化是通过一种与所施加的外部电磁场无关的方案进行的。 该模型表现出相变，并我们通过玻色子系统的自由能密度泛函对其进行分析。 研究结果表明存在磁催化、电催化和逆电催化现象，所有这些现象都取决于系统的厚度。 显示英文摘要

摘要： 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.