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

2025/12/18 by Filippov, V. A., Iakhibbaev, R. M., Tolkachev, D. M.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2512.16613

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.

Citations

• Power-law F(R) Gravity as Deformations to Starobinsky Inflation in View of ACT
• All-loop effective potential for arbitrary scalar models in curved space-time
• Derivative expansion in a two-scalar field theory
• The Atacama Cosmology Telescope: DR6 Power Spectra, Likelihoods and ΛCDM Parameters
• Leading all-loop quantum contribution to the effective potential in the inflationary cosmology
• A new type of isotropic cosmological models without singularity
• Radiative Corrections as the Origin of Spontaneous Symmetry Breaking
• Radiative Corrections as the Origin of Spontaneous Symmetry Breaking

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