Effective potential in $SO(N)$ symmetric scalar field theories in curved spacetime
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866914498609152000 |
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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 | We derive recurrence relations for leading logarithmic all-loop quantum corrections in the case of $SO(N)$ symmetric scalar theory with an arbitrary potential in curved spacetime. On this basis, a system of renormalisation group (RG) equations in the general is obtained approach for the effective potential in the large $N$ limit. As a simple illustration, we analyse the case of power-like potentials in the Jordan frame and discuss their application to inflationary cosmology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16613 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective potential in $SO(N)$ symmetric scalar field theories in curved spacetime Filippov, V. A. Iakhibbaev, R. M. Tolkachev, D. M. High Energy Physics - Theory We derive recurrence relations for leading logarithmic all-loop quantum corrections in the case of $SO(N)$ symmetric scalar theory with an arbitrary potential in curved spacetime. On this basis, a system of renormalisation group (RG) equations in the general is obtained approach for the effective potential in the large $N$ limit. As a simple illustration, we analyse the case of power-like potentials in the Jordan frame and discuss their application to inflationary cosmology. |
| title | Effective potential in $SO(N)$ symmetric scalar field theories in curved spacetime |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.16613 |