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Explore the mathematical foundations of Gaussian multiplicative chaos and its applications to quantum field theory in this 36-minute conference talk. Examine bounds on the probability that the total mass of Gaussian multiplicative chaos measures becomes small when derived from Gaussian fields with zero spatial average. Delve into the probabilistic path integral formulation of the massless Sinh-Gordon model on a torus of side length R, analyzing the behavior of its partition function as R approaches infinity. Learn how small deviation bounds for Gaussian multiplicative chaos provide crucial tools for establishing lower and upper bounds on the logarithm of the partition function. Discover the mathematical techniques that lead to proving the existence of a non-zero and finite subsequential infinite volume limit for the free energy in this two-dimensional quantum field theory model.
