Bounds on the Gell-Mann--Low functions in quantum electrodynamics and in the Wess-Zumino model
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917975544561664 |
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| author | Krasnikov, N. V. |
| author_facet | Krasnikov, N. V. |
| contents | We derive bounds $ |\frac{dψ(α)}{dα}| \leq 1 $, $ \frac{d(\frac{dψ(α)}{dα}ψ(α))}{dα} \leq 1 $ on the GL (Gell-Mann--Low) function $ψ(α)$ from the Kallen-Lehmann dispersion representation in quantum electrodynamics. We also derive analogous bounds for the GL function in the Wess-Zumino model. The implications of the obtained inequalities are discussed. In particular, we obtain bounds on coupling constants in dark photon model and in dark matter model with vector $(B-L)$ messenger. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01514 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bounds on the Gell-Mann--Low functions in quantum electrodynamics and in the Wess-Zumino model Krasnikov, N. V. High Energy Physics - Phenomenology High Energy Physics - Theory We derive bounds $ |\frac{dψ(α)}{dα}| \leq 1 $, $ \frac{d(\frac{dψ(α)}{dα}ψ(α))}{dα} \leq 1 $ on the GL (Gell-Mann--Low) function $ψ(α)$ from the Kallen-Lehmann dispersion representation in quantum electrodynamics. We also derive analogous bounds for the GL function in the Wess-Zumino model. The implications of the obtained inequalities are discussed. In particular, we obtain bounds on coupling constants in dark photon model and in dark matter model with vector $(B-L)$ messenger. |
| title | Bounds on the Gell-Mann--Low functions in quantum electrodynamics and in the Wess-Zumino model |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.01514 |