  We present the first nonperturbatively-renormalized determination of the glue
momentum fraction $\langle x \rangle_g$ in the nucleon, based on lattice-QCD
simulations at physical pion mass using the cluster-decomposition error
reduction (CDER) technique. We provide the first practical strategy to
renormalize the glue energy-momentum tensor (EMT) nonperturbatively in the
RI/MOM scheme, and convert the results to the $\overline{\textrm{MS}}$ scheme
with 1-loop matching. The simulation results show that the CDER technique can
reduce the statistical uncertainty of its renormalization constant by a factor
of ${\cal O}$(300) in calculations using typical state-of-the-art lattice
volume, and the nonperturbatively-renormalized $\langle x \rangle_g$ is shown
to be independent of the lattice definitions of the glue EMT up to
discretization errors. We determine the renormalized $\langle x
\rangle_g^{\overline{\textrm{MS}}}(2\textrm{ GeV})$ to be 0.47(4)(11) at
physical pion mass, which is consistent with the experimentally-determined
value.
