论文标题
循环校正对标量Casimir能量密度和拓扑质量的产生
Loop correction to the scalar Casimir energy density and generation of topological mass due to a helix boundary condition in a scenario with Lorentz violation
论文作者
论文摘要
在本文中，使用量子场理论中的有效潜在方法，以研究对Casimir能量密度的自我交流环校正，并为无质量和庞大的真实标量场的拓扑质量生成。假定标量场服从螺旋边界条件。另外，它也被认为是CPT，即使违反了洛伦兹对称性。在没有洛伦兹违规的情况下，我们获得了循环校正至Casimir能量密度和标量场的质量的分析表达式。假设在每个时空方向上违反洛伦兹，也获得了相同的表达式。我们还显示了一些图表，这些图表表现出循环校正和洛伦兹违规如何影响Casimir能量密度和标量场的质量。
In this paper the effective potential approach in quantum field theory is used in order to investigate self-interaction loop correction to the Casimir energy density and generation of topological mass for both massless and massive real scalar fields. It is assumed that the scalar field obeys a helix boundary condition. In addition, it is also considered a CPT-even aether-type violation of the Lorentz symmetry. In the absence of the Lorentz violation we obtain analytical expressions for the loop correction to the Casimir energy density and to the mass of the scalar field. The same expressions are also obtained assuming the Lorentz violation in each of the spacetime directions. We also show some graphs that exhibit how the loop correction and the Lorentz violation affect the the Casimir energy density and the mass of the scalar field.
