Diagram dependance of the $\mathbb{CP}(1)$ beta function
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909294205599744 |
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| author | Kiaee, Kasra Monin, Alexander |
| author_facet | Kiaee, Kasra Monin, Alexander |
| contents | We revisit the computation of the beta function in the two-dimensional $\mathbb{CP}(1)$ sigma model. We show that in different schemes, different diagrams are responsible for the running, such as momentum-independent tadpoles or even UV-finite bubble diagrams. We also comment on the relation between the beta functions and the energy dependence of scattering amplitudes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13159 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Diagram dependance of the $\mathbb{CP}(1)$ beta function Kiaee, Kasra Monin, Alexander High Energy Physics - Theory We revisit the computation of the beta function in the two-dimensional $\mathbb{CP}(1)$ sigma model. We show that in different schemes, different diagrams are responsible for the running, such as momentum-independent tadpoles or even UV-finite bubble diagrams. We also comment on the relation between the beta functions and the energy dependence of scattering amplitudes. |
| title | Diagram dependance of the $\mathbb{CP}(1)$ beta function |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.13159 |