AI 中文总结
研究施瓦茨场论概率测度的高温极限，明确其大尺度集中于跳跃过程、小尺度由实线上的施瓦茨场论支配，还完成了该理论的关联函数计算与唯一性定理证明。
AI 中文摘要
本研究探讨施瓦茨场论概率测度的高温极限。我们表明，在大尺度上，该极限集中于跳跃过程，而其小尺度行为由一种我们称为实线上的施瓦茨场论的过程所支配。实线上的施瓦茨理论可视为施瓦茨场论的无限体积版本。除了证明这种局部收敛性，我们还对实线上的施瓦茨理论进行了系统研究，包括关联函数的计算及相应的唯一性定理。
英文摘要
In this work we study the high-temperature limit of the Schwarzian Field Theory probability measure. We show that on large scales this limit concentrates on jump processes, while its small-scale behaviour is governed by a process which we call Schwarzian Field Theory on the real line. This Schwarzian Theory on the real line can be viewed as the infinite-volume version of the Schwarzian Field Theory. In addition to showing this local convergence, we also provide a systematic treatment of the Schwarzian Theory on the real line. This includes the calculation of the correlation functions and a corresponding uniqueness theorem.
