Renormalization in conformal quantum mechanics

Abstract

The singular behavior of conformal interactions is examined within a comparative analysis of renormalization frameworks. The effective approach--inspired by the effective-field theory program--and its connection with the core framework are highlighted. Applications include black-hole thermodynamics, molecular dipole-bound anions, the Efimov effect, and various regimes of QED.Comment: 17 pages. Expanded, with additional emphasis in terms of the effective-field theory program. To be published in Phys. Lett.