dorsal/arxiv
View SchemaComputation of Structure Functions From a Lattice Hamiltonian
| Authors | Norbert Scheu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9506011 |
| URL | https://arxiv.org/abs/quant-ph/9506011 |
Abstract
We suggest to compute structure functions in the Hamiltonian formalism on a momentum lattice using a physically motivated regularisation that links the total parton number to the lattice size. We show for the $\phi ^4 _4$ theory that our method allows to describe continuum physics. The critical line and the renormalised mass spectrum close to that critical line are computed and scaling behaviour is observed in good agreement with the semi-analytical results of L{\"u}scher and Weisz and with other lattice simulations. We also demonstrate that our method is able to reproduce the $Q^2$ behaviour of deep inelastic structure functions and the typical peak at $x_B=0.$
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"date_created": "2026-03-02T18:02:38.022000Z",
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"abstract": "We suggest to compute structure functions in the Hamiltonian formalism on a\nmomentum lattice using a physically motivated regularisation that links the\ntotal parton number to the lattice size. We show for the $\\phi ^4 _4$ theory\nthat our method allows to describe continuum physics. The critical line and the\nrenormalised mass spectrum close to that critical line are computed and scaling\nbehaviour is observed in good agreement with the semi-analytical results of\nL{\\\"u}scher and Weisz and with other lattice simulations. We also demonstrate\nthat our method is able to reproduce the $Q^2$ behaviour of deep inelastic\nstructure functions and the typical peak at $x_B=0.$",
"arxiv_id": "quant-ph/9506011",
"authors": [
"Norbert Scheu"
],
"categories": [
"quant-ph",
"hep-th"
],
"title": "Computation of Structure Functions From a Lattice Hamiltonian",
"url": "https://arxiv.org/abs/quant-ph/9506011"
},
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"execution_id": "9868b01d-e7cd-4308-b6c7-7e8b361ae198",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
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