  We present the first lattice QCD determination of the light cone gluon
helicity correlation parton distribution function (PDF) with numerical evidence
toward disfavoring negative gluon polarization in the nucleon. We present a
solution for eliminating an inevitable contamination term that dominates the
Euclidean correlations and makes determining gluon helicity PDF unfeasible. The
proposed synergy between lattice QCD and artificial intelligence offers a
superior platform to alleviate the defining challenge of extracting quark and
gluon PDFs from the lattice data that are available in a limited domain due to
a finite range of accessible hadron momenta. We suggest a systematically
improvable method to extract PDFs from the lattice data, independent of
inadequate parametrizations. The result of the gluon helicity will improve our
understanding of the role of spin in the strong interaction and the nucleon
spin structure.
