4 papers
Schwarzian Field Theory at High Temperatures
Ilya Losev
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 i…
Probabilistic Correlation Functions of the Schwarzian Field Theory
Ilya Losev
We study correlation functions of the probabilistic Schwarzian Field Theory. We compute cross-ratio correlation functions exactly in the case when the corresponding Wilson lines do…
Large Deviations of the Schwarzian Field Theory
Ilya Losev
We prove a large deviations principle for the probabilistic Schwarzian Field Theory at low temperatures. We demonstrate that the good rate function is equal to the action of the Sc…
Probabilistic Definition of the Schwarzian Field Theory
Roland Bauerschmidt, Ilya Losev, Peter Wildemann
We provide mathematical foundations for the Schwarzian Field Theory as a finite Borel measure on , a quotient of the space o…