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Parton Distribution Functions in the Schwinger Model with Tensor Networks

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arxiv 2409.16996 v2 pith:WO3WJ23R submitted 2024-09-25 hep-lat hep-phphysics.comp-ph

Parton Distribution Functions in the Schwinger Model with Tensor Networks

classification hep-lat hep-phphysics.comp-ph
keywords matrixpdfscalculateddistributionelementsfunctionsmethodsmodel
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quantum Simulation of Generalized Parton Distributions in the Schwinger Model

    hep-ph 2026-06 unverdicted novelty 6.0

    Quantum algorithm for GPDs in Schwinger model using Wilson fermions, with polynomial resource scaling and exact-diagonalization benchmarks matching theory.

  2. Quantum simulation of real-time current correlators and DIS-inspired observables in the Schwinger model

    hep-ph 2025-12 conditional novelty 6.0

    The hadronic tensor and longitudinal structure function of the massive Schwinger model are computed from real-time current–current correlators using tensor networks and quantum circuits, benchmarked against exact diag...