AI 中文总结
研究真空持续概率评估中因规定不同产生的模糊性问题，核心方法是指出格林函数规定遗漏端点真空波函数贡献，主要贡献是通过边界补全解决模糊性，使结果与博戈留波夫表达式一致。
AI 中文摘要
真空持续概率由出入有效作用量的虚部编码，是真空不稳定性和粒子产生的基本度量。然而，其评估可能依赖于规定：博戈留波夫规定和格林函数规定会产生不同表达式。我们表明这种明显的模糊性源于格林函数规定忽略了端点真空波函数的非平凡贡献，而这应存在于完整的出入振幅中。纳入此贡献实现了格林函数规定的边界补全，解决了模糊性，完整结果与博戈留波夫表达式一致。
英文摘要
The vacuum persistence probability, encoded in the imaginary part of the in-out effective action, is a basic measure of vacuum instability and particle production. However, its evaluation may appear prescription-dependent: the Bogoliubov prescription and the Green's function prescription can yield different expressions. We show that this apparent ambiguity arises because the Green's function prescription omits the nontrivial contribution from the endpoint vacuum wavefunctionals, which should be present in the complete in-out amplitude. Including this contribution accomplishes the boundary completion of the Green's function prescription. The ambiguity is thereby resolved, and the complete result agrees with the Bogoliubov expression.
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