用围道积分法求函数行列式
Functional determinants by contour integration methods
摘要：
我们提出了一个简单和方便的方法，使用围道积分方法推导公式的功能行列式。为了使演示尽可能清楚，一般的想法是首先说明的最简单的情况下：二阶微分算子的Dirichlet边界条件。该方法适用于更一般的情况下，我们讨论的方式，形式主义必须发展到涵盖这些情况。特别是，我们还表明，简单而优雅的公式存在的物理上重要的情况下，零模式存在的决定因素，但已被排除在外。
英文摘要：
We present a simple and accessible method which uses contour integration methods to derive formulae for functional determinants. To make the presentation as clear as possible, the general idea is first illustrated on the simplest case: a second order differential operator with Dirichlet boundary conditions. The method is applicable to more general situations, and we discuss the way in which the formalism has to be developed to cover these cases. In particular, we also show that simple and elegant formulae exist for the physically important case of determinants where zero modes exist, but have been excluded.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
