The question is inspired from this answer, which mentions that it is not known how to (rigorously?) obtain the Lagrangian of chiral effective theory from QCD, the spontaneous symmetry breaking of $SU_L(3)\times SU_R(3)$ is a complicated non-perturbative dynamical effect, etc ...

Is it possible to shed light on these issues from an AdS/QCD point of view, or to derive the effective Lagrangian of the chiral effective theory (including the higher order term mentioned in the other question) more rigorously from some kind of holographic renormalization?