Multi-scale Renormalisation Group Improvement of the Effective Potential

TL;DR

This paper develops a method to exactly sum leading logarithms in the effective potential of $O(N)$ scalar and Yukawa theories using renormalisation group techniques and a conjecture about the perturbation series.

Contribution

It introduces a novel approach to summing leading logarithms in the effective potential through renormalisation group improvement and a conjecture on the perturbation series.

Findings

Exact summation of leading logarithms achieved

Applicable to $O(N)$ scalar and Yukawa theories

Provides a new tool for analyzing effective potentials

Abstract

Using the renormalisation group and a conjecture concerning the perturbation series for the effective potential, the leading logarithms in the effective potential are exactly summed for $O(N)$ scalar and Yukawa theories.