Speaker
Description
The EIC will measure the structure of hadrons at a new level of precision, requiring the support of a robust theoretical description. Universal properties of nuclei can be described by Parton distribution functions (PDFs). They provide insights into the non-perturbative internal structure of bound states. Calculating PDFs from first principles involves evaluating matrix elements with a Wilson line in a light-cone direction. This poses significant challenges for Monte Carlo methods in Euclidean formulation of lattice gauge theory, where the light cone cannot be directly accessed. In contrast, the PDF can, in principle, be calculated directly from light-cone matrix elements in the Hamiltonian formalism. We introduce a strategy to obtain the PDFs directly in Minkowski space with tensor network states, and apply it to the Schwinger model. We present the PDF for different fermion masses in the continuum limit. This shows the feasibility of tensor networks for dynamical calculations in gauge theories and represents a first step towards such computations for QCD.
