Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909640628895744 |
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| author | Falconi, Marco Hinrichs, Benjamin |
| author_facet | Falconi, Marco Hinrichs, Benjamin |
| contents | In this short communication we discuss the ultraviolet renormalization of the van Hove-Miyatake scalar field, generated by any distributional source. An abstract algebraic approach, based on the study of a special class of ground states of the van Hove-Miyatake dynamical map is compared with an Hamiltonian renormalization that makes use of a non-unitary dressing transformation. The two approaches are proved to yield equivalent results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_19977 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach Falconi, Marco Hinrichs, Benjamin Mathematical Physics In this short communication we discuss the ultraviolet renormalization of the van Hove-Miyatake scalar field, generated by any distributional source. An abstract algebraic approach, based on the study of a special class of ground states of the van Hove-Miyatake dynamical map is compared with an Hamiltonian renormalization that makes use of a non-unitary dressing transformation. The two approaches are proved to yield equivalent results. |
| title | Ultraviolet Renormalization of the van Hove-Miyatake Model: an Algebraic and Hamiltonian Approach |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2505.19977 |