Parton Distribution Functions in the Schwinger Model with Matrix Product States

Manuel Schneider^1*, C.-J. David Lin¹, Mari Carmen Bañuls^2,3, Krzysztof Cichy⁴

¹Institute of Physics, National Yang Ming Chiao Tung University, Hsinchu, Taiwan
²Max Planck Institute of Quantum Physics, Munich, Germany
³Munich Center for Quantum Science and Technology, Munich, Germany
⁴Faculty of Physics, Adam Mickiewicz University, Poznań, Poland

* Presenter:Manuel Schneider, email:manuel.schneider@nycu.edu.tw

Parton Distribution Functions (PDFs) are a key ingredient in the calculation of amplitudes in deep inelastic scattering. They involve the computation of a Wilson line along the lightcone. In contrast to lattice QCD simulations in euclidean spacetime, this can be computed directly in the Hamiltonian formalism. The necessary spatial- and time-evolution can be efficiently applied using established tensor network methods. We study the equivalent of PDFs in the Schwinger model using matrix product states.

Keywords: Parton Distribution Functions (PDF), Schwinger Model, Tensor Networks, Matrix Product States, Lightcone