Exact Evaluation and extrapolation of the divergent expansion for the Heisenberg-Euler Lagrangian II: Non-alternating Case
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866917817851314176 |
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| author | Tica, Christian D. Galapon, Eric A. |
| author_facet | Tica, Christian D. Galapon, Eric A. |
| contents | We applied the method of finite-part integration [Galapon E.A Proc.R.Soc A 473, 20160567(2017)] to evaluate in closed-form the exact one-loop integral representations of the Heisenberg-Euler Lagrangian from QED for a constant electric field and electric-like self-dual background. We also devise a prescription based on the finite-part integration of the Cauchy principal value integral to sum and extrapolate the non-alternating divergent weak-field expansions of the Heisenberg-Euler Lagrangians to recover the non-perturbative Schwinger effect well into the strong field limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_14839 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Exact Evaluation and extrapolation of the divergent expansion for the Heisenberg-Euler Lagrangian II: Non-alternating Case Tica, Christian D. Galapon, Eric A. Mathematical Physics High Energy Physics - Theory We applied the method of finite-part integration [Galapon E.A Proc.R.Soc A 473, 20160567(2017)] to evaluate in closed-form the exact one-loop integral representations of the Heisenberg-Euler Lagrangian from QED for a constant electric field and electric-like self-dual background. We also devise a prescription based on the finite-part integration of the Cauchy principal value integral to sum and extrapolate the non-alternating divergent weak-field expansions of the Heisenberg-Euler Lagrangians to recover the non-perturbative Schwinger effect well into the strong field limit. |
| title | Exact Evaluation and extrapolation of the divergent expansion for the Heisenberg-Euler Lagrangian II: Non-alternating Case |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2402.14839 |