`Maximal conformality' does not work

TL;DR

The paper critiques the principle of maximal conformality, demonstrating its ineffectiveness in addressing renormalization-scheme dependence and emphasizing the importance of RG invariance as a symmetry.

Contribution

It clarifies the limitations of the maximal conformality approach and advocates for methods based on RG invariants to resolve scheme dependence.

Findings

Maximal conformality does not resolve scheme dependence

RG invariance is a fundamental symmetry

Effective resolution should use RG invariants

Abstract

The so-called "principle of maximal conformality" is ineffective and does nothing to resolve the renormalization-scheme-dependence problem. Some essential facts about that problem are summarized. It is stressed that RG invariance is a symmetry and that any viable method for resolving the scheme-dependence problem should be formulatable in terms of the invariants of that symmetry.