2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/200364The usual procedure of including a finite number of vertices in Non Perturbative Renormalization Group equations in order to obtain $n$-point correlation functions at finite momenta is analyzed. This is done by exploiting a general method recently introduced which includes simultaneously all vertices although approximating their momentum dependence. The study is performed using the self-energy of the tridimensional scalar model at criticality. At least in this example, low order truncations miss quantities as the critical exponent $η$ by as much as 60%. However, if one goes to high order truncations the procedure seems to converge rapidly.20 pages, 6 figures. Minor changes. Version to be published in EPJ BHigh Energy Physics - TheoryStatistical Mechanicstext