重新审视球腔内大质量标量场的真空能量
Reconsidering the Vacuum Energy of a Massive Scalar Field in a Spherical Cavity
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中文总结 AI 辅助
本文重新计算球腔内大质量标量场的真空能量，纠正早期符号错误，证明大质量极限下能量为零，并发现能量随半径多次变号。
中文摘要 AI 辅助
我们重新审视了在球腔内满足Dirichlet边界条件的大质量标量场的真空（Casimir）能量。利用zeta函数正则化，我们通过修正Bessel函数的均匀渐近展开仔细重新计算了zeta函数的解析部分。我们纠正了早期计算（PR D56 (1997) 4896）中存在的符号错误，该错误影响了大质量行为。重整化后的真空能量在大质量时趋于零，这符合物理要求。数值结果表明，能量随腔半径的变化多次改变符号。
英文摘要
We reconsider the vacuum (Casimir) energy of a massive scalar field obeying Dirichlet boundary conditions inside a spherical cavity. Using zeta-function regularization, we carefully recalculate the analytic part of the zeta function via the uniform asymptotic expansion of the modified Bessel functions. We correct a sign error present in an earlier calculation (PR D56 (1997) 4896) that affected the large-mass behavior. The renormalized vacuum energy is shown to vanish for large mass, as required on physical grounds. Numerical results reveal that the energy changes sign several times as a function of the cavity radius.
发表机构
- Institute for Theoretical Physics, Leipzig University（莱比锡大学理论物理研究所）
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