[Math-Phys Seminar] Small deviations of Gaussian multiplicative chaos and the free energy of the two-dimensional massless Sinh-Gordon model
2. December @ 11:15 am – 12:45 pm UTC+2
Mathematical physics seminar
Date: Tuesdays 11:15-12:45 Uhr
Venue: 1.023 (BMS Room, Haus 1, ground floor), Rudower Chaussee 25, Adlershof, 12489 Berlin
Organiser: Gaëtan Borot
2. Dezember 2025
Nikolay Barashkov (MiS Leipzig)
Small deviations of Gaussian multiplicative chaos and the free energy of
the two-dimensional massless Sinh-Gordon model
We derive a bound on the probability that the total mass of Gaussian multiplicative
chaos measure obtained from a Gaussian field with zero spatial average, is small. We also give the probabilistic path integral formulation of the massless Sinh-Gordon model on a torus of side length R, and study its partition function R tends to infinity. We apply the small deviation bounds for Gaussian multiplicative chaos to obtain lower and upper bounds for the logarithm of the partition function, leading to the existence of a non-zero and finite subsequential infinite volume limit for the free energy.