Comment to "The asymptotically-free gauge theories"

TL;DR

This comment clarifies and contextualizes the classification of gauge theories proposed in the original paper, addressing potential misconceptions and referencing prior literature to enhance understanding.

Contribution

It provides clarification, correction, and additional context to the proposed classification of gauge theories in the original work.

Findings

Clarifies points in the original classification

Addresses potential misconceptions

Provides context with prior literature

Abstract

The recent paper "The asymptotically-free gauge theories" by Ben Gripaios and Khoi Le Nguyen Nguyen [arXiv:2507.12348] presents a proposed classification of gauge theories valid down to arbitrarily short scales. In this comment, we aim to clarify several points and address some statements that may be misleading. We also provide additional context by discussing relevant prior literature and existing classifications.