2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/181634The four N to $Δ$ axial transition form factors are evaluated using quenched QCD, using two flavors of dynamical Wilson fermions and using domain wall valence fermions on three-flavor MILC configurations for pion masses down to 360 MeV. We provide a prediction for the parity violating asymmetry as a function of $Q^2$ and examine the validity of the non-diagonal Goldberger-Treiman relation.Normalization factor in figures 3 and 4 corrected, discussion on the evaluation of the renormalized qaurk mass included, typos corrected, 7 pages, 6 figures, talk presented at the XXIV International Symposium on Lattice Field Theory, 23rd - 28th of July, 2006High Energy Physics - Latticetext