Feynman's linear divergence problem
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913026151546880 |
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| author | Sakhnovich, Alexander Sakhnovich, Lev |
| author_facet | Sakhnovich, Alexander Sakhnovich, Lev |
| contents | 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?" |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_11612 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Feynman's linear divergence problem Sakhnovich, Alexander Sakhnovich, Lev Mathematical Physics Classical Analysis and ODEs Quantum Physics 81T15, 81U20 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?" |
| title | Feynman's linear divergence problem |
| topic | Mathematical Physics Classical Analysis and ODEs Quantum Physics 81T15, 81U20 |
| url | https://arxiv.org/abs/2604.11612 |