The European Physical Journal C

, Volume 68, Issue 1, pp 223–226

On the validity of constraints on light elementary particles and extra-dimensional physics from the Casimir effect


  • E. Fischbach
    • Department of PhysicsPurdue University
  • G. L. Klimchitskaya
    • North-West Technical University
    • Institute for Theoretical PhysicsLeipzig University
  • D. E. Krause
    • Department of PhysicsPurdue University
    • Physics DepartmentWabash College
    • Institute for Theoretical PhysicsLeipzig University
    • Noncommercial Partnership “Scientific Instruments”
Regular Article - Theoretical Physics

DOI: 10.1140/epjc/s10052-010-1326-2

Cite this article as:
Fischbach, E., Klimchitskaya, G.L., Krause, D.E. et al. Eur. Phys. J. C (2010) 68: 223. doi:10.1140/epjc/s10052-010-1326-2


We discuss the constraints on the parameters of a Yukawa interaction obtained from the indirect measurements of the Casimir pressure between parallel plates using the sphere–plate configuration. Recently, it was claimed in the literature that the application of the proximity force approximation (PFA) to the calculation of a Yukawa interaction in the sphere–plate configuration could lead to a large error of order 100% in the constraints obtained. Here we re-calculate the constraints both exactly and using the PFA, and arrive at identical results. We elucidate the reasons why an incorrect conclusion was obtained suggesting that the PFA is inapplicable to calculate the Yukawa force.

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010