Mass Gap in Quantum Chromodynamics

TL;DR

This paper argues that Quantum Chromodynamics (QCD) likely has a mass gap if the Callan-Symanzik function remains negative for all positive coupling constants, providing a heuristic theoretical perspective.

Contribution

It offers a heuristic argument linking the existence of a mass gap in QCD to the behavior of the Callan-Symanzik function, a novel theoretical insight.

Findings

Supports the hypothesis that QCD has a mass gap under certain conditions

Provides a heuristic argument connecting the mass gap to the Callan-Symanzik function

Suggests conditions for the mass gap based on the inequality of the beta function

Abstract

We present a heuristic argument in support of the assertion that QCD will exhibit a mass gap, if the Callan-Symanzik function \beta(g) obeys the inequality \beta(g) < 0, for all g > 0.