Parton Distribution Functions in the Schwinger model from Tensor Network States
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866914387107774464 |
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| author | Bañuls, Mari Carmen Cichy, Krzysztof Lin, C. -J. David Schneider, Manuel |
| author_facet | Bañuls, Mari Carmen Cichy, Krzysztof Lin, C. -J. David Schneider, Manuel |
| contents | Parton distribution functions (PDFs) describe the inner, non-perturbative structure of hadrons. Their computation involves matrix elements with a Wilson line along a direction on the light cone, posing significant challenges in Euclidean lattice calculations, where the time direction is not directly accessible. We propose implementing the light-front Wilson line within the Hamiltonian formalism using tensor network techniques. The approach is demonstrated in the massive Schwinger model (quantum electrodynamics in 1+1 dimensions), a toy model that shares key features with quantum chromodynamics. We present accurate continuum results for the fermion PDF of the vector meson at varying fermion masses, obtained from first-principle calculations directly in Minkowski space. Our strategy also provides a useful path for quantum simulations and quantum computing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07508 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parton Distribution Functions in the Schwinger model from Tensor Network States Bañuls, Mari Carmen Cichy, Krzysztof Lin, C. -J. David Schneider, Manuel High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory Computational Physics Quantum Physics Parton distribution functions (PDFs) describe the inner, non-perturbative structure of hadrons. Their computation involves matrix elements with a Wilson line along a direction on the light cone, posing significant challenges in Euclidean lattice calculations, where the time direction is not directly accessible. We propose implementing the light-front Wilson line within the Hamiltonian formalism using tensor network techniques. The approach is demonstrated in the massive Schwinger model (quantum electrodynamics in 1+1 dimensions), a toy model that shares key features with quantum chromodynamics. We present accurate continuum results for the fermion PDF of the vector meson at varying fermion masses, obtained from first-principle calculations directly in Minkowski space. Our strategy also provides a useful path for quantum simulations and quantum computing. |
| title | Parton Distribution Functions in the Schwinger model from Tensor Network States |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory Computational Physics Quantum Physics |
| url | https://arxiv.org/abs/2504.07508 |