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arXiv · 2512.16613

Effective potential in $SO(N)$ symmetric scalar field theories in curved spacetime

V. A. Filippov·R. M. Iakhibbaev·D. M. Tolkachev
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Abstract

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.

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V. A. Filippov, R. M. Iakhibbaev, D. M. Tolkachev. 2025-12-18. Effective potential in $SO(N)$ symmetric scalar field theories in curved spacetime. https://arxiv.org/abs/2512.16613

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