The ABC of scale invariance at the level of action integrals, and the software tool Kanon

TL;DR

This paper introduces Kanon, a software tool that helps assemble and analyze action integrals in field theories to determine their scale invariance and critical dimensions, aiding researchers in theoretical physics.

Contribution

The paper presents Kanon, a new interactive software tool that automates the analysis of action integrals for scale invariance in field theories, including a library of well-known models.

Findings

Kanon can determine critical dimensions of various models.

It contains over 60 models with references.

The tool facilitates understanding of scale invariance in field theories.

Abstract

A central and common aspect of renormalizable field theories is scale invariance of the action integral. This note introduces the software tool \emph{Kanon}, which allows to assemble arbitrary action integrals interactively, and to determine their critical dimension and scale invariance. The tool contains more than 60 well-known models with comments and references to the literature.