Casimir force in a Lorentz violating theory

Creative Commons License

Frank M., Turan İ.

PHYSICAL REVIEW D, vol.74, no.3, 2006 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Review
  • Volume: 74 Issue: 3
  • Publication Date: 2006
  • Doi Number: 10.1103/physrevd.74.033016
  • Journal Name: PHYSICAL REVIEW D
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Middle East Technical University Affiliated: No


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.