  We present our progresses in the use of the non-perturbative renormalization
framework based on considering QCD at finite temperature with shifted and
twisted (for quarks only) boundary conditions in the compact direction. We
report our final results in the application of this method for the
non-perturbative renormalization of the flavor-singlet local vector current. We
then discuss the more challenging case of the renormalization of the
energy-momentum tensor, and show preliminary results on the relevant one-point
functions for the computation of the renormalization constants of its
non-singlet components.
