Confinement Admits Chiral Symmetry Breaking via Bag

TL;DR

This paper links the bag model to chiral symmetry breaking in quark systems, explaining how confinement leads to symmetry breaking and impacts proton spin measurements in deep inelastic scattering.

Contribution

It introduces a novel connection between the bag model and chiral symmetry breaking, providing a symmetry-based analysis of quark confinement and its effects.

Findings

Linear potential relates to the bag model and asymptotic freedom.

Chiral symmetry breaking occurs when a quark-antiquark system forms a bag.

Proton spin measurements in deep inelastic scattering are inherently uncertain.

Abstract

In this paper, it is pointed out for the first time that the linear effective potential between quarks is intrinsically relating to the bag model while concerning the asymptotically-free nature of colours. Based on the relationship we employ the symmetry method to analyze the quark-anti-quark system. For the tight bound system, one of the quark and anti-quark becomes the bag itself. By imposing the Poincare invariance on the quark-anti-quark bound-state, and translating the chiral transformation to its spatial manifestation, we can infer why the chiral symmetry breaking happens. Applying this knowledge to deep inelastic scattering we reach the conclusion that the measured proton spin in scattering experiments should be uncertain quantity.