Derivative expansion for the boundary interaction terms in the Casimir effect: Generalizedδpotentials

2009/08/12 by C. D. Fosco, Fernando C. Lombardo, F. C. Lombardo +2 · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th

paper · pdf · doi:10.1103/physrevd.80.085004

published as Phys.Rev.D80:085004,2009 · 12 pages, two figures

arxiv created 2009/08/12 · openalex publication_date 2009/10/02 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We calculate the Casimir energy for scalar fields in interaction with finite-width mirrors, described by nonlocal interaction terms. These terms, which include quantum effects due to the matter fields inside the mirrors, are approximated by means of a local expansion procedure. As a result of this expansion, an effective theory for the vacuum field emerges, which can be written in terms of generalized \ensuremathδ potentials. We compute explicitly the Casimir energy for these potentials and show that, for some particular cases, it is possible to reinterpret them as imposing imperfect Dirichlet boundary conditions.

Citations

• The Casimir effect
• New Developments in the Casimir Effect
• The Casimir effect: Recent controversies and progress
• Casimir Energies and Pressures for δ-function Potentials
• Casimir effect with dynamical matter on thin mirrors

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