2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/40763Contrary to common belief, the longitudinal vector meson and scalar meson propagators have very different forms in spontaneously broken gauge theories. We choose the Abelian-Higgs model as an example and show that the longitudinal vector meson and scalar meson propagators have double poles by an extensive use of the Ward-Takahashi identities.8 pages, ReVTeXHigh Energy Physics - Phenomenologytext