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arXiv · 2407.00089

Hydrogen energy levels from the anomalous energy-momentum QED trace

Michael I. Eides
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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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Michael I. Eides. 2024-06-25. Hydrogen energy levels from the anomalous energy-momentum QED trace. https://arxiv.org/abs/2407.00089

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