English

Effective potential in leading logarithmic approximation in non-renormalisable $SO(N)$ scalar field theories

High Energy Physics - Theory 2025-01-28 v1

Abstract

The study of the effective potential for non-renormalisable scalar SO(N) symmetric theories leads to recurrence relations for the coefficients of the leading logarithms. These relations can be transformed into generalised renormalization-group (RG) equation which can be analyzed in detail. In some special cases this equation can be solved exactly.

Keywords

Cite

@article{arxiv.2406.19005,
  title  = {Effective potential in leading logarithmic approximation in non-renormalisable $SO(N)$ scalar field theories},
  author = {R. M. Iakhibbaev and D. M. Tolkachev},
  journal= {arXiv preprint arXiv:2406.19005},
  year   = {2025}
}