Gluonic Distribution in the Constituent Quark and Nucleon Induced by the Instantons

TL;DR

This paper calculates the gluon distribution within constituent quarks and nucleons using instanton effects, revealing the significant role of the pion field in these distributions, which had not been previously computed.

Contribution

First calculation of unpolarized and polarized gluon distributions in constituent quarks and nucleons using instanton models in QCD.

Findings

Pion field significantly influences gluon distributions.

Instanton effects are crucial at non-perturbative energy scales.

Provides new insights into gluon structure in hadrons.

Abstract

Instanton effects can give large contribution to strong interacting processes, especially at the energy scale where perturbative QCD is no longer valid. However instanton contribution to the gluon contribution in constituent quark and nucleon has never been calculated before. Based on both the constituent quark picture and the instanton model for QCD vacuum, we calculate the unpolarized and polarized gluon distributions in the constituent quark and in the nucleon for the first time. We find that the pion field plays an important role in producing both the unpolarized and the polarized gluon distributions.