Speaker
Description
The rich internal structure of hadrons is encoded in partonic functions, such as parton distribution functions (PDFs) and light-cone distribution amplitudes (LCDAs), which are crucial in collider experiments and decay processes. Calculating them from first principles remains a major challenge: they require matrix elements with a Wilson line along a light-like direction, which are not directly accessible in the Euclidean lattice formulation underlying conventional Monte Carlo simulations. In contrast, the Hamiltonian formalism allows for a direct treatment of light-cone dynamics. Recent developments allow to simulate states in Hilbert space efficiently with tensor networks or quantum devices. We present a framework to extract light-cone matrix elements in Minkowski space and demonstrate the approach in the massive Schwinger model. Our tensor-network calculations led to PDFs and LCDAs of the Schwinger model for different fermion masses with controlled uncertainties, demonstrating the feasibility of tensor networks for dynamical calculations in gauge theories.