Asymptotic freedom and Confinement imply spontaneously broken chiral symmetry in Quantum Chromodynamics

TL;DR

This paper demonstrates that in Quantum Chromodynamics, the principles of asymptotic freedom and confinement necessarily lead to the spontaneous breaking of chiral symmetry, revealing a fundamental aspect of the theory.

Contribution

It provides a theoretical proof that asymptotic freedom and confinement imply spontaneous chiral symmetry breaking in QCD.

Findings

Chiral symmetry must be spontaneously broken in QCD.

Asymptotic freedom and confinement are sufficient conditions for chiral symmetry breaking.

Theoretical connection between fundamental QCD properties and symmetry realization.

Abstract

We utilize Coleman's theorem and show that quantum chromodynamics based on asymptotic freedom and confinement must have chiral symmetry realized as a spontaneously broken symmetry.