The Faddeev Model and Scaling in Quantum Chromodynamics

TL;DR

This paper examines the Faddeev two-body model in QCD, demonstrating that the perceived dimensional transmutation and energy scale growth are illusions, through an exact solution.

Contribution

It provides an exact solution to the Faddeev model, challenging the notion of dimensional transmutation in this QCD-inspired context.

Findings

Exact solution shows no real dimensional transmutation.

Growth of energy scale is an illusion.

Questions the interpretation of scale generation in the model.

Abstract

The Faddeev two body bound state model is discussed as an example of a QCD inspired model thought by some to exhibit dimensional transmutation. This simple model is solved exactly and the growth of a specified dimensional energy scale is shown to be an illusion.