On the link between finite QFT and standard RG approaches
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911412683538432 |
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| author | Ageeva, Y. A. Kataev, A. L. |
| author_facet | Ageeva, Y. A. Kataev, A. L. |
| contents | A finite formulation of quantum field theory based on a system of differential equations reminiscent of the Callan-Symanzik equations is discussed. This system of equations was previously formulated in the bare language. We rederive it in a fully renormalized language. For the latter, within a simple $ϕ^4$ toy model, it is shown that with a specific choice of renormalization conditions - namely, the on-shell scheme for the renormalized mass - this class of finite renormalization prescriptions is equivalent to the standard renormalization-group equation written in the Callan-Symanzik-Ovsyannikov form. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22632 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the link between finite QFT and standard RG approaches Ageeva, Y. A. Kataev, A. L. High Energy Physics - Theory High Energy Physics - Phenomenology A finite formulation of quantum field theory based on a system of differential equations reminiscent of the Callan-Symanzik equations is discussed. This system of equations was previously formulated in the bare language. We rederive it in a fully renormalized language. For the latter, within a simple $ϕ^4$ toy model, it is shown that with a specific choice of renormalization conditions - namely, the on-shell scheme for the renormalized mass - this class of finite renormalization prescriptions is equivalent to the standard renormalization-group equation written in the Callan-Symanzik-Ovsyannikov form. |
| title | On the link between finite QFT and standard RG approaches |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2509.22632 |