论文标题
D+1维度的洛伦兹侵略标量场的辐射校正
Radiative Correction to the Casimir Energy for Lorentz-violating Scalar Field in d+1 Dimensions
论文作者
论文摘要
每个重新归一化的理论中的重新归一化程序应与量子场上施加的边界条件的类型一致运行。为了保持这种一致性，反对者通常以位置依赖性形式出现。在本研究中，使用此类反作用，我们计算了对Casimir能量的辐射校正，以限制在d空间维度中两个平行板之间的Dirichlet边界条件约束的大规模和无质量易易兹的标量场。在计算过程中，为了消除真空能量中出现的无限次数，采用了通过截止正规化技术和分析延续技术补充的盒子减法方案。通常，在盒子减法方案中，定义了两种相似的配置，并在适当的限制下相互减去它们的真空能量。我们关于所有空间维度的最终结果都是收敛的，并且与预期的物理基础一致。我们进一步绘制了许多奇数甚至尺寸的时间样和类似空间的洛伦兹侵入系统的Casimir能量密度。最终讨论了获得的结果的多个方面。
The renormalization program in every renormalized theory should be run consistently with the type of boundary condition imposed on quantum fields. To maintain this consistency, the counterterms usually appear in the position-dependent form. In the present study, using such counterterms, we calculated the radiative correction to the Casimir energy for massive and massless Lorentz-violating scalar field constrained with Dirichlet boundary condition between two parallel plates in d spatial dimensions. In the calculation procedure, to remove infinities appearing in the vacuum energies, the box subtraction scheme supplemented by the cutoff regularization technique and analytic continuation technique were employed. Normally, in the box subtraction scheme, two similar configurations are defined and their vacuum energies are subtracted from each other in the appropriate limits. Our final results regarding all spatial dimensions were convergent and consistent with the expected physical basis. We further plotted the Casimir energy density for the time-like and space-like Lorentz-violating systems in a number of odd and even dimensions; multiple aspects of the obtained results were ultimately discussed.
