2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94967The emergence of conformal states is established for any problem involving a domain of scales where the long-range, SO(2,1) conformally invariant interaction is applicable. Whenever a clear-cut separation of ultraviolet and infrared cutoffs is in place, this renormalization mechanism produces binding in the strong-coupling regime. A realization of this phenomenon, in the form of dipole-bound anions, is discussed.15 pages. Expanded, with additional calculational details. To be published in Phys. Rev. AHigh Energy Physics - TheoryQuantum Physicstext