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arXiv · 2504.02418

All-loop effective potential for arbitrary scalar models in curved space-time

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

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.

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V. A. Filippov, R. M. Iakhibbaev, D. M. Tolkachev. 2025-04-03. All-loop effective potential for arbitrary scalar models in curved space-time. https://doi.org/10.1088/1361-6382/adecd8

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