Field Redefinitions and Infinite Field Anomalous Dimensions
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913233770643456 |
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| author | Manohar, Aneesh V. Pagès, Julie Nepveu, Jasper Roosmale |
| author_facet | Manohar, Aneesh V. Pagès, Julie Nepveu, Jasper Roosmale |
| contents | Field redefinitions are commonly used to reduce the number of operators in the Lagrangian by removing redundant operators and transforming to a minimal operator basis. We give a general argument that such field redefinitions, while leaving the $S$-matrix invariant and consequently finite, lead not only to infinite Green's functions, but also to infinite field anomalous dimensions $γ_ϕ$. These divergences cannot be removed by counterterms without reintroducing redundant operators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_08715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Field Redefinitions and Infinite Field Anomalous Dimensions Manohar, Aneesh V. Pagès, Julie Nepveu, Jasper Roosmale High Energy Physics - Phenomenology High Energy Physics - Theory Field redefinitions are commonly used to reduce the number of operators in the Lagrangian by removing redundant operators and transforming to a minimal operator basis. We give a general argument that such field redefinitions, while leaving the $S$-matrix invariant and consequently finite, lead not only to infinite Green's functions, but also to infinite field anomalous dimensions $γ_ϕ$. These divergences cannot be removed by counterterms without reintroducing redundant operators. |
| title | Field Redefinitions and Infinite Field Anomalous Dimensions |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.08715 |