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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2307.03188 |
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| _version_ | 1866914898231951360 |
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| author | Carosso, Andrea |
| author_facet | Carosso, Andrea |
| contents | We describe the picture of physical processes suggested by Edward Nelson's stochastic mechanics when generalized to quantum field theory regularized on a lattice, after an introductory review of his theory applied to the hydrogen atom. By performing numerical simulations of the relevant stochastic processes, we observe that Nelson's theory provides a means of generating typical field configurations for any given quantum state. In particular, an intuitive picture is given of the field ``beable'' -- to use a phrase of John Stewart Bell -- corresponding to the Fock vacuum, and an explanation is suggested for how particle-like features can be exhibited by excited states. We then argue that the picture looks qualitatively similar when generalized to interacting scalar field theory. Lastly, we compare the Nelsonian framework to various other proposed ontologies for QFT, and remark upon their relative merits in light of the effective field theory paradigm. Links to animations of the corresponding beables are provided throughout. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_03188 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Simulating Nelsonian Quantum Field Theory Carosso, Andrea History and Philosophy of Physics High Energy Physics - Lattice Quantum Physics We describe the picture of physical processes suggested by Edward Nelson's stochastic mechanics when generalized to quantum field theory regularized on a lattice, after an introductory review of his theory applied to the hydrogen atom. By performing numerical simulations of the relevant stochastic processes, we observe that Nelson's theory provides a means of generating typical field configurations for any given quantum state. In particular, an intuitive picture is given of the field ``beable'' -- to use a phrase of John Stewart Bell -- corresponding to the Fock vacuum, and an explanation is suggested for how particle-like features can be exhibited by excited states. We then argue that the picture looks qualitatively similar when generalized to interacting scalar field theory. Lastly, we compare the Nelsonian framework to various other proposed ontologies for QFT, and remark upon their relative merits in light of the effective field theory paradigm. Links to animations of the corresponding beables are provided throughout. |
| title | Simulating Nelsonian Quantum Field Theory |
| topic | History and Philosophy of Physics High Energy Physics - Lattice Quantum Physics |
| url | https://arxiv.org/abs/2307.03188 |