All-loop effective potential for arbitrary scalar models in curved space-time
High Energy Physics - Theory
2025-07-21 v1
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.
Cite
@article{arxiv.2504.02418,
title = {All-loop effective potential for arbitrary scalar models in curved space-time},
author = {V. A. Filippov and R. M. Iakhibbaev and D. M. Tolkachev},
journal= {arXiv preprint arXiv:2504.02418},
year = {2025}
}
Comments
19 pages, 8 figures