Object-relative ultraviolet weighting of electromagnetic modes and one-loop ultraviolet finiteness of internal photon lines in quantum electrodynamics
The paper proposes an effective weighting of internal electromagnetic modes based on their localization relative to an interacting object. This weighting suggests thinning high-frequency modes to achieve one-loop ultraviolet finiteness while maintaining consistency with fundamental QED rules like the Ward identity. Tests show this framework successfully predicts results for the anomalous magnetic moment and Lamb shift.