All-loop effective potential for arbitrary scalar models in curved space-time
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915397374050304 |
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| author | Filippov, V. A. Iakhibbaev, R. M. Tolkachev, D. M. |
| author_facet | Filippov, V. A. Iakhibbaev, R. M. Tolkachev, D. M. |
| contents | In this paper we calculate the leading divergences of the effective potential for an arbitrary scalar theory on a curved spacetime background. Based on the recurrence relation between the leading poles following from the locality condition, we obtain a system of generalised renormalisation-group equations that can be studied numerically or analytically in some special cases. We study the simplest effective potentials for power-like models and give a comparison of them in the framework of cosmological phenomenology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02418 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | All-loop effective potential for arbitrary scalar models in curved space-time Filippov, V. A. Iakhibbaev, R. M. Tolkachev, D. M. High Energy Physics - Theory In this paper we calculate the leading divergences of the effective potential for an arbitrary scalar theory on a curved spacetime background. Based on the recurrence relation between the leading poles following from the locality condition, we obtain a system of generalised renormalisation-group equations that can be studied numerically or analytically in some special cases. We study the simplest effective potentials for power-like models and give a comparison of them in the framework of cosmological phenomenology. |
| title | All-loop effective potential for arbitrary scalar models in curved space-time |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.02418 |