Dispersion Forces Between Fields Confined to Half Spaces

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.

9 pages, 2 figures

References in corpus (4)

• Dynamical polarization, screening, and plasmons in gapped graphene
• Quantum Field Theory in Graphene
• Canonical quantization of electromagnetism in spatially dispersive media
• Casimir and Casimir-Polder forces with dissipation from first principles

Cited by in corpus (1)

• Bulk contributions to the Casimir interaction of Dirac materials