By Jianping Jiang, NYU Shanghai

In this talk, we consider the Ising model at critical temperature with external magnetic field ha^{15/8} on the square lattice with lattice spacing a. We show that the truncated two-point function in this model decays exponentially with a rate independent of a. If time permits, we will discuss the problem of exponential decay in the near-critical scaling limit (as a approaches 0). This is joint work with Federico Camia and Chuck Newman.