The monotonicity theorem revisited
arXiv:2603.25536
Abstract
We use supersymmetric localization and integration by parts to derive variational and convex correlation inequalities in statistical physics. As a primary application, we give an alternative proof of the monotonicity theorem for the supersymmetric hyperbolic sigma model. This extends a result of Poudevigne to a stronger multivariate convex comparison inequality, without relying on probabilistic couplings.
arXiv comment16 pages