Speaker
Description
Hamiltonian Truncation provides a non-perturbative approach to quantum field theory in which one starts from a solvable theory, constructs its Hilbert space, and restricts to a finite-dimensional subspace of states below an energy cutoff $E_\text{max}$ . Within this truncated space, the target Hamiltonian is approximated and studied. In this talk I will introduce this framework (distinguishing it from related uses of the term) and give a selective overview of several active directions. I will discuss the construction of effective Hamiltonians and the treatment of UV divergences, recent progress in applying these ideas to gauge theories (including exploratory work on chiral gauge theories), and emerging connections to quantum computing, where truncated Hilbert spaces offer a natural setting for simulating quantum field dynamics.