Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916455589609472 |
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| author | Ivanov, A. V. |
| author_facet | Ivanov, A. V. |
| contents | The paper studies the quantum action for the four-dimensional real $ϕ^4$-theory in the case of a general formulation using the background field method. The three-loop renormalization is performed with the usage of a cutoff regularization in the coordinate representation. The absence of non-local singular contributions and the correctness of the renormalization $\mathcal{R}$-operation on the example of separate three-loop diagrams are also discussed. The explicit form of the first three coefficients for the renormalization constants and for the $β$-function is presented. Consistency with previously known results is shown. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14549 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization Ivanov, A. V. High Energy Physics - Theory Mathematical Physics The paper studies the quantum action for the four-dimensional real $ϕ^4$-theory in the case of a general formulation using the background field method. The three-loop renormalization is performed with the usage of a cutoff regularization in the coordinate representation. The absence of non-local singular contributions and the correctness of the renormalization $\mathcal{R}$-operation on the example of separate three-loop diagrams are also discussed. The explicit form of the first three coefficients for the renormalization constants and for the $β$-function is presented. Consistency with previously known results is shown. |
| title | Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2402.14549 |