Close examination of the ground-state Casimir-Polder interaction: Time-ordered versus covariant formalism and radiative corrections

C. M. Adhikari, U. Jentschura

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The purpose of this paper is twofold. First, we compare, in detail, the derivation of the Casimir-Polder interaction using time-ordered perturbation theory, to the matching of the scattering amplitude using quantum electrodynamics. In the first case, a total of twelve time-ordered diagrams need to be considered, while in the second case, one encounters only two Feynman diagrams, namely, the ladder and crossed-ladder contributions. For ground-state interactions, we match the contribution of six of the time-ordered diagrams against the corresponding Feynman diagrams, showing the consistency of the two approaches. Second, we also examine the leading radiative correction to the long-range interaction, which is of relative order O(α3). In doing so, we uncover logarithmic terms, in both the interatomic distance as well as the fine-structure constant, in higher-order corrections to the Casimir-Polder interaction.

Original languageEnglish
Article number215002
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Volume51
Issue number21
DOIs
Publication statusPublished - Oct 16 2018

Keywords

  • Casimir-Polder interactions
  • covariant formalism
  • propagator denominator
  • radiative corrections
  • scattering matrix
  • time-ordered perturbation theory

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics

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