Bootstrapping the Long-Range Ising model

We combine perturbation theory with analytic and numerical bootstrap techniques to study the critical point of the long-range Ising (LRI) model in two and three dimensions. This model can be interpreted as a conformal defect in an auxiliary, free scalar bulk CFT. We explain how this interpretation can be used in order to gain non-perturbative information on the critical behaviour of LRI. When we combine these approaches within the numerical bootstrap. We find a family of sharp kinks for two- and three-dimensional theories which compare favourably to perturbative predictions, as well as some Monte Carlo simulations for the two-dimensional LRI. (Based on 2311.02742.)

7 February 2024, 14:00