2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/197403We derive constraints on the non-perturbative 3-point fermion-boson transverse vertex in massless QED3 from its perturbative calculation to order $α$. We also check the transversality condition to two loops and evaluate the fermion propagator to the same order. We compare a conjecture of the non-perturbative vertex by Burden and Tjiang against our results and comment on its draw backs. Our calculation calls for the need to construct a non-perturbative form for the fermion-boson vertex which agrees with its perturbative limit to ${\cal O}(α)$.11 Pages, 2 FiguresHigh Energy Physics - TheoryHigh Energy Physics - Phenomenologytext