Feynman's linear divergence problem

• URL: http://arxiv.org/abs/2604.11612v1
• Date: Mon, 13 Apr 2026 15:19:27 GMT
• Title: Feynman's linear divergence problem
• Abstract summary: We construct secondary generalized scattering operators for the related case of linear divergence in QED.<n>This gives a positive answer to the well-known problem of J. R. Oppenheimer regarding scattering operators in QED.
• Score: 45.88028371034407
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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