Tensor Networks for Relativistic Hamiltonian Lattice Gauge Theory

We apply and implement numerical tensor network (TN) methods from quantum many-body physics to the simulation of high-energy physics. Relying on Hamiltonian lattice quantum field theory, we put forward a recipe for simulating the real-time dynamics of scattering events, and further develop the dressed site approach to lattice gauge theory (LGT). We focus on numerical applications to low-dimensional LGT problems, demonstrating the feasibility of their TN simulation. We devise a protocol for preparing asymptotic particle wave-packets for the lattice Schwinger model and characterize the entanglement generated during meson-meson collisions. In an effort towards generalizing this study to hadron-hadron collisions in quantum chromodynamics (QCD), we identify and characterize an SU(3) LGT of minimal complexity which reproduced some of QCD's distinctive features.