Effective Field Theory Program for Conformal Quantum Anomalies

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The 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. A

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