Kramers-Kr\'onig approach to the electric permittivity of the vacuum in a strong constant electric field

Autor:	Taya, Hidetoshi, Ironside, Charlie
Rok vydání:	2023
Předmět:	High Energy Physics - Phenomenology High Energy Physics - Theory Physics - Optics
Druh dokumentu:	Working Paper
Popis:	We study the electric permittivity of the QED vacuum in the presence of a strong constant electric field, motivated by the analogy between the dynamically-assisted Schwinger effect in strong-field QED and the Franz-Keldysh effect in semiconductor physics. We develop a linear-response theory based on the non-equilibrium in-in formalism and the Furry-picture perturbation theory, with which and also utilizing the Kramers-Kr\"onig relation, we calculate the electric permittivity without assuming weak fields and low-frequency probes. We discover that the electric permittivity exhibits characteristic oscillating dependence on the probe frequency, which directly reflects the change of the QED-vacuum structure by the strong field. We also establish a quantitative correspondence between the electric permittivity and the number of electron-positron pairs produced by the dynamically-assisted Schwinger effect. Comment: 27 pages, 6 figures; v2: references added, discussions improved, to appear in Phys. Rev. D
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2308.11248 Zobrazit plný text záznamu View this record from Arxiv