AI 中文总结
研究磁拓扑缺陷对（3 + 1）维平坦时空带电大质量标量场真空极化的影响，通过实施罗宾边界条件分析，发现真空能量与曲率耦合ξ有关，凸显了边界条件在真空极化现象中的重要作用。
AI 中文摘要
我们研究了磁拓扑缺陷如何影响（3 + 1）维平坦时空里带电大质量标量场的真空极化。该缺陷被建模为内部有磁通量且物质场不可穿透的有限厚度管。我们在磁管表面实施了最一般形式的罗宾边界条件，以全面分析此问题。发现在平坦时空里，磁拓扑缺陷产生的总真空能量除了对应狄利克雷和诺伊曼边界条件的特殊情况外，取决于曲率ξ。相比之下，当施加罗宾一般边界条件时，诱导真空能量明确依赖于曲率耦合ξ，即便在平坦时空也很显著。还详细研究了该效应与边界条件参数的依赖关系。所得结果凸显了边界条件在真空极化现象中所起的重要作用。
英文摘要
We investigated how a magnetic topological defect affects the vacuum polarization of a charged massive scalar field in a flat $(3+1)$-dimensional space-time. The defect was modeled as an impenetrable to matter field finite-thickness tube with magnetic flux inside. We implemented the most general form of the Robin boundary condition on the surface of the magnetic tube, which enables a fully general analysis of the problem. We have found that in flat spacetime, the total vacuum energy generated by a magnetic topological defect depends on the curvature $ξ$, except for special cases corresponding to the Dirichlet and Neumann boundary conditions. By contrast, when Robin's general boundary conditions are imposed, the induced vacuum energy acquires an explicit dependence on the curvature coupling $ξ$, which is significant even in flat space-time. A detailed study of the dependence of the effect on the boundary condition parameter has been carried out. The obtained results highlight the nontrivial role played by boundary conditions in vacuum polarization phenomena.
Comments12 pages, 3 figures
Journal refUniverse 12.2, p.47 (2026)
