Ising field theory in 2d: Hamiltonian truncation meets S-matrix bootstrap

by Dr Barak Gabai (Harvard University)

Tuesday 17 Dec 2019, 14:00 → 16:00 Europe/Zurich

4/2-037 - TH meeting room (CERN)

Abstract:

We explore the analytic structure of the non-perturbative S-matrix in arguably the simplest family of massive non-integrable quantum field theories: the Ising field theory (IFT) in two dimensions, which may be viewed as the Ising CFT deformed by its two relevant operators, or equivalently, the scaling limit of the Ising model in a magnetic field. Our strategy is that of collider physics: we employ Hamiltonian truncation method (TFFSA) to extract the scattering phase of the lightest particles in the elastic regime, and combine it with S-matrix bootstrap methods based on unitarity and analyticity assumptions to determine the analytic continuation of the 2 to 2 S-matrix element to the complex s-plane.