Parton Distribution Functions in the Schwinger Model with Tensor Networks
Abstract
Parton distribution functions (PDFs) describe universal properties of bound states and allow us to calculate scattering amplitudes in processes with large momentum transfer. Calculating PDFs involves the evaluation of matrix elements with a Wilson line in a light-cone direction. In contrast to Monte Carlo methods in Euclidean spacetime, these matrix elements can be directly calculated in Minkowski-space using the Hamiltonian formalism. The necessary spatial- and time-evolution can be efficiently applied using established tensor network methods. We present PDFs in the Schwinger model calculated with matrix product states.
Cite
@article{arxiv.2409.16996,
title = {Parton Distribution Functions in the Schwinger Model with Tensor Networks},
author = {Mari Carmen Bañuls and Krzysztof Cichy and C. -J. David Lin and Manuel Schneider},
journal= {arXiv preprint arXiv:2409.16996},
year = {2025}
}
Comments
Proceedings of the 41st International Symposium on Lattice Field Theory, LATTICE2024, 28th July - 3rd August 2024, University of Liverpool, United Kingdom, Speaker: Manuel Schneider