Casimir force in a Lorentz violating theory

2006/07/31 by Mariana Frank, İsmail Turan, Ismail Turan
Mathematics · Physics and Astronomy · #Casimir effect #Casimir pressure #Classical mechanics #Cosmology and Gravitation Theories #Field (mathematics) #Higgs boson #Lorentz force #Lorentz transformation #Magnetic field #Mathematical analysis #Mathematical physics #Mathematics #Multiplicative function #Noncommutative and Quantum Gravity Theories #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Scalar field #Theoretical physics #Vacuum expectation value #hep-ph

paper · pdf · doi:10.1103/physrevd.74.033016

published as Phys.Rev.D74:033016,2006 · 20 pages, no figures, references added, accepted for publication in Phys. Rev. D

arxiv created 2006/08/15 · openalex publication_date 2006/08/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the effects of the minimal extension of the standard model including Lorentz violation on the Casimir force between two parallel conducting plates in the vacuum. We provide explicit solutions for the electromagnetic field using scalar field analogy, for both the cases in which the Lorentz violating terms come from the CPT-even or CPT-odd terms. We also calculate the effects of the Lorentz violating terms for a fermion field between two parallel conducting plates and analyze the modifications of the Casimir force due to the modifications of the Dirac equation. In all cases under consideration, the standard formulas for the Casimir force are modified by either multiplicative or additive correction factors, the latter case exhibiting different dependence on the distance between the plates.

Citations

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