Confinement contains condensates

TL;DR

This paper argues that QCD condensates are not vacuum properties but are confined within hadrons, challenging traditional views and aligning with empirical evidence.

Contribution

It presents a paradigm shift by showing condensates are contained within hadrons, not the vacuum, based on QCD duality and wave function analysis.

Findings

Condensates are confined within hadrons.

This view aligns with empirical evidence.

It challenges the traditional vacuum condensate paradigm.

Abstract

Dynamical chiral symmetry breaking and its connection with the generation of hadron masses has historically been viewed as a vacuum phenomenon. We argue that confinement makes such a position untenable. If quark-hadron duality is a reality in QCD, then condensates, those quantities that were commonly viewed as constant empirical mass-scales that fill all spacetime, are instead wholly contained within hadrons; viz., they are a property of hadrons themselves and expressed, e.g., in their Bethe-Salpeter or light-front wave functions. We explain that this paradigm is consistent with empirical evidence, and incidentally expose misconceptions in a recent Comment.