Renormalization in conformal quantum mechanics

TL;DR

This paper investigates the singularities in conformal quantum mechanics using different renormalization methods, linking effective-field theory concepts with core frameworks, and explores applications in black-hole thermodynamics, molecular physics, and quantum electrodynamics.

Contribution

It introduces a comparative analysis of renormalization frameworks in conformal quantum mechanics, emphasizing the effective approach and its relation to core methods.

Findings

Effective approach clarifies singular behavior in conformal interactions.

Connections established between effective-field theory and core frameworks.

Applications demonstrated in black-hole thermodynamics, molecular anions, and Efimov physics.

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.