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Dispersion Forces Between Fields Confined to Half Spaces

Quantum Physics 2018-03-23 v1 High Energy Physics - Theory

Abstract

We consider the Casimir effect for a scalar field interacting with another scalar field that is confined to two half spaces. This model is aimed to mimic the interaction of the photon field with matter in two slabs. We use Dirichlet boundary conditions on the interfaces for the fields in the half spaces and calculate their one-loop contribution to the wave equation for the other field. We perform the ultraviolet renormalization and develop a convenient formalism for the calculation of the vacuum energy in this configuration.

Keywords

Cite

@article{arxiv.1803.08113,
  title  = {Dispersion Forces Between Fields Confined to Half Spaces},
  author = {Michael Bordag and Irina G. Pirozhenko},
  journal= {arXiv preprint arXiv:1803.08113},
  year   = {2018}
}

Comments

9 pages, 2 figures

R2 v1 2026-06-23T01:01:02.240Z