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arXiv · 2604.11612

Feynman's linear divergence problem

Alexander Sakhnovich·Lev Sakhnovich
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Abstract

First, we consider generalized wave and scattering operators and derive modifications of commutation relations (between scattering operators and unperturbed operators) when the corresponding deviation factors behave as $\exp\{i t {\mathcal C}_{\pm}\}$ for $t\to \pm \infty$. Then, we construct so called secondary generalized scattering operators for the related case of linear divergence in QED, which gives a positive answer (in that case) to the well-known problem of J. R. Oppenheimer regarding scattering operators in QED: "Can the procedure be freed of the expansion in $\varepsilon$ and carried out rigorously?"

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Alexander Sakhnovich, Lev Sakhnovich. 2026-04-13. Feynman's linear divergence problem. https://arxiv.org/abs/2604.11612

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