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I will discuss how matrix product states (MPS) tensor network methods can be used to study scattering in a gapped quantum field theory, known as Ising field theory (IFT), obtained in the scaling limit of the Ising spin chain with both transverse and longitudinal fields. IFT is classified as a family of theories, deformed by the two relevant operators (spin and energy), away from the Ising CFT. It exhibits a unique spectrum in one of the integrable limits, where eight stable particles exist. We specifically discuss elastic and inelastic scattering, time delays, resonances, and high-energy behavior away from the integrable limits.
The talk is based on https://arxiv.org/abs/2411.13645