Nonperturbative Real-Time Simulations of Chiral Gauge Theories and Baryogenesis

Why does the observable universe contain almost no antimatter? Answering this question requires understanding nonperturbative, out-of-equilibrium dynamics in quantum field theory, regimes inaccessible to perturbation theory and Euclidean lattice Monte Carlo. I will describe a program to develop Hamiltonian frameworks for controlled real-time simulations of chiral gauge theories, using baryogenesis as a concrete target. The difficulty systematically progresses from 1+1-dimensional models to increasingly realistic scenarios, with tensor-network simulations already demonstrating real-time asymmetry generation in fermion–bubble scattering. Crucial ingredients needed in this effort are Hamiltonian formulations of Ginsparg–Wilson fermions with exact chiral symmetry, together with symmetry-preserving quantum algorithms and qubit regularizations. These developments are establishing a scalable path toward ab-initio simulations of early-universe and beyond-Standard-Model dynamics.