Resolution of spin crisis, and notes on the Bjorken sum rule, anomaly and constituent quark

TL;DR

This paper argues that the so-called spin crisis is resolved by recognizing the role of gluon-quark spin entanglement, and discusses the importance of anomalies in quark transformation and chiral symmetry breaking.

Contribution

It demonstrates that the common parton model expression for g_1 is incorrect and highlights the significance of anomalies in quark dynamics and chiral symmetry.

Findings

The parton model expression for g_1 ignores gluon-quark spin entanglement.

Anomalies are crucial in transforming current quarks into constituent quarks.

The spin crisis is not valid when proper entanglement and anomalies are considered.

Abstract

It is shown that the widely used parton model expression for $ g_1$ in polarized proton-lepton scattering is incorrect as it ignores gluon-quark spin entanglement. Therefore, there is no spin crisis. A brief summary of results of the theoretical evaluation of non-octet axial vector current renormalization constants and anomaly -anomaly vacuum correlator is given. It suggests that anomaly plays an important role in the transformation of current quarks to constituent quarks and chiral symmetry breaking.