Exact evaluation and extrapolation of the divergent expansion for the Heisenberg-Euler Lagrangian I: Alternating Case

Autor:	Tica, Christian D., Galapon, Eric A.
Rok vydání:	2023
Předmět:	Mathematical Physics High Energy Physics - Phenomenology High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	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 magnetic field and magnetic-like self-dual background. We also devise a prescription based on the finite-part integration of a generalized Stieltjes integral to sum and extrapolate to the strong-field regime the alternating divergent weak-field expansions of the Heisenberg-Euler Lagrangians.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2310.08199 Zobrazit plný text záznamu View this record from Arxiv