Effective Potential in Subleading Logarithmic Approximation in Arbitrary Non-renormalizable Scalar Field Theory
High Energy Physics - Theory
2026-02-13 v1
Abstract
Following the previously developed approach to the calculation of quantum corrections to the effective potential in arbitrary scalar field theories in the leading logarithmic approximation, we extended it to the next-to-leading order. Based on Bogoliubov-Parasiuk-Hepp-Zimmerman renormalization procedure and the Bogoliubov-Parasiuk theorem, we construct recurrence relations and renormalization group equations that allow one to sum up the leading and subleading logarithms in all orders of perturbation theory. The formalism is applicable to an arbitrary scalar potential, renormalizable or not. To verify the results, we compare them with a renormalizable model treated within the standard renormalization group approach.
Keywords
Cite
@article{arxiv.2602.11878,
title = {Effective Potential in Subleading Logarithmic Approximation in Arbitrary Non-renormalizable Scalar Field Theory},
author = {R. M. Iakhibbaev and D. I. Kazakov and A. I. Mukhaeva and D. M. Tolkachev},
journal= {arXiv preprint arXiv:2602.11878},
year = {2026}
}
Comments
19 pages, 7 figures