Wiener测度的极分解：Schwarzian理论与共形量子力学
Polar decomposition of the Wiener measure: Schwarzian theory versus conformal quantum mechanics
摘要：
我们导出了Wiener测度的极分解的显式形式，并得到了共形量子力学中泛函积分与Schwarzian理论中泛函积分之间的联系方程.利用这种联系，我们计算了Schwarzian理论中的一些非平凡泛函积分，并在共形量子力学模型中找到了虚时Schroedinger方程的基本解。
英文摘要：
We derive the explicit form of the polar decomposition of the Wiener measure, and obtain the equation connecting functional integrals in conformal quantum mechanics to those in the Schwarzian theory. Using this connection we evaluate some nontrivial functional integrals in the Schwarzian theory and also find the fundamental solution of the Schroedinger equation in imaginary time in the model of conformal quantum mechanics.
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