2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/19458We study a Dirac fermion model with three kinds of disorder as well as a marginal interaction which forms the critical line of $c=1$ conformal field theory. Computing scaling equations by the use of a perturbative renormalization group method, we investigate how such an interaction affects the universality classes of disordered systems with non-interacting fermions. We show that some specific fixed points are stable against an interaction, whereas others are unstable and flow to new random critical points with a finite interaction.10 pages, no figuresDisordered Systems and Neural NetworksStatistical Mechanicstext