论文标题
Δ-δ球的Casimir自能力能源
Casimir self-energy of a δ-δ' sphere
论文作者
论文摘要
在存在奇异电位的情况下，我们扩展了对无质量标量场的真空能量的先前工作。我们考虑了一个所谓的“ Delta-Delta Prime”相互作用表示的单个球体。与Dirac Delta潜力相反，我们发现一个非平凡的单参数势家族，因此正则化程序为Casimir的自我能源带来了明确的结果。所采用的过程基于ZETA函数正则化和热核系数A_2的取消。获得的结果与特定情况一致，例如Dirac Delta或Robin和Dirichlet边界条件。
We extend previous work on the vacuum energy of a massless scalar field in the presence of singular potentials. We consider a single sphere denoted by the so-called "delta-delta prime" interaction. Contrary to the Dirac delta potential, we find a nontrivial one-parameter family of potentials such that the regularization procedure gives an unambiguous result for the Casimir self-energy. The procedure employed is based on the zeta function regularization and the cancellation of the heat kernel coefficient a_2. The results obtained are in agreement with particular cases, such as the Dirac delta or Robin and Dirichlet boundary conditions.
