Hydrogen energy levels from the anomalous energy-momentum QED trace

2024/06/25 by Michael I. Eides, Eides, Michael I. · 1 citation
Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #Dark Matter and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · pdf · doi:10.48550/arxiv.2407.00089

openalex publication_date 2024/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Energy levels of hydrogen are calculated as one-loop matrix elements of the QED energy-momentum tensor trace in the external field approximation. An explicit connection established between the one-loop trace diagrams and the standard Lamb shift one-loop diagrams. Our calculations provide an argument against inclusion of the anomalous trace contribution as a separate term in the decomposition of the QED quantum field Hamiltonian and serve as an illustration how the trace anomaly is realized in the bound state QED.

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