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arXiv · 2301.10151

Casimir Self-Interaction Energy Density of Quantum Electrodynamic Fields

Alexandre Tkatchenko·Dmitry V. Fedorov
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Abstract

Quantum electrodynamic fields possess fluctuations corresponding to transient particle/antiparticle dipoles, which can be characterized by a non-vanishing polarizability density. Here, we extend a recently proposed quantum scaling law to describe the volumetric and radial polarizability density of a quantum field corresponding to electrons and positrons and derive the Casimir self-interaction energy (SIE) density of the field, $\bar{E}_{\rm{SIE}}$, in terms of the fine-structure constant. The proposed model obeys the cosmological equation of state $w=-1$ and the magnitude of the calculated $\bar{E}_{\rm{SIE}}$ lies in between the two recent measurements of the cosmological constant $Λ$ obtained by the Planck Mission and the Hubble Space Telescope.

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Alexandre Tkatchenko, Dmitry V. Fedorov. 2023-01-24. Casimir Self-Interaction Energy Density of Quantum Electrodynamic Fields. https://doi.org/10.1103/physrevlett.130.041601

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