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arXiv · 2607.29423

Schwarzian Field Theory at High Temperatures

Ilya Losev
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Abstract

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.

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Ilya Losev. 2026-07-31. Schwarzian Field Theory at High Temperatures. https://arxiv.org/abs/2607.29423

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