Effective potential in $SO(N)$ symmetric scalar field theories in curved spacetime
High Energy Physics - Theory
2026-04-23 v2
Abstract
We derive recurrence relations for leading logarithmic all-loop quantum corrections in the case of 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 limit. As a simple illustration, we analyse the case of power-like potentials in the Jordan frame and discuss their application to inflationary cosmology.
Keywords
Cite
@article{arxiv.2512.16613,
title = {Effective potential in $SO(N)$ symmetric scalar field theories in curved spacetime},
author = {V. A. Filippov and R. M. Iakhibbaev and D. M. Tolkachev},
journal= {arXiv preprint arXiv:2512.16613},
year = {2026}
}
Comments
18 pages, 15 figures; v2: references added, minor improvements, typos corrected