Significance of the Renormalization Constant of the Color Gauge Field

TL;DR

This paper establishes that the condition Z_3^{-1}=0 for the renormalization constant of the color gauge field is sufficient for color confinement in quantum chromodynamics.

Contribution

It introduces a specific renormalization condition as a sufficient criterion for color confinement in gauge theories.

Findings

Z_3^{-1}=0 implies color confinement

Provides a theoretical criterion linking renormalization constants to confinement

Highlights importance of renormalization in gauge field theories

Abstract

It is shown that a sufficient condition for color confinement is given by Z_3^{-1}=0, where Z_3 denotes the renormalization constant of the color gauge field.