Three-loop singularity structure for a non-linear sigma model
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909679325544448 |
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| author | Akacevich, P. V. Ivanov, A. V. Korenev, I. V. |
| author_facet | Akacevich, P. V. Ivanov, A. V. Korenev, I. V. |
| contents | The paper is devoted to the three-loop renormalization of the effective action for a two-dimensional non-linear sigma model using the background field method and a cutoff regularization in the coordinate representation. The coefficients of the renormalization constant and the necessary auxiliary vertices are found, as well as the asymptotic expansions of all three-loop diagrams, and their dependence on the type of regularizing function. A comparison is also made with the standard case of cutoff in the momentum representation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_05923 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Three-loop singularity structure for a non-linear sigma model Akacevich, P. V. Ivanov, A. V. Korenev, I. V. High Energy Physics - Theory Mathematical Physics The paper is devoted to the three-loop renormalization of the effective action for a two-dimensional non-linear sigma model using the background field method and a cutoff regularization in the coordinate representation. The coefficients of the renormalization constant and the necessary auxiliary vertices are found, as well as the asymptotic expansions of all three-loop diagrams, and their dependence on the type of regularizing function. A comparison is also made with the standard case of cutoff in the momentum representation. |
| title | Three-loop singularity structure for a non-linear sigma model |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2507.05923 |