I will describe progress in formulating and solving QFT non-perturbatively in the infinite volume limit using Hamiltonian Truncation. I will present new results for time-dependent observables in a certain class of both Lagrangian and non-Lagrangian theories in 1+1d. I will also present our study of chaos and thermalization for a scalar theory, where we test the Eigenstate Thermalization Hypothesis (ETH). While we do find results which are broadly consistent with ETH, at weak coupling we also find a set of “scar” states, which do not satisfy Random Matrix Statistics, and which can be distinguished from the rest of the thermal states by the expectation value of local operators.