2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/202038We re-investigate the vector and axial-vector vacuum susceptibilities by taking advantage of the vector and axial-vector Ward-Takahashi identities. We show analytically that, in the chiral limit, the vector vacuum susceptibility is zero and the axial-vector vacuum susceptibility equals three fourths of the square of the pion decay constant. Besides, our analysis reproduces the Weinberg sum rule.5 pages, no figures, revtex4High Energy Physics - PhenomenologyNuclear Theorytext