Regular Article - Theoretical Physics

The European Physical Journal C

, Volume 68, Issue 1, pp 223-226

First online:

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

  • E. FischbachAffiliated withDepartment of Physics, Purdue University
  • , G. L. KlimchitskayaAffiliated withNorth-West Technical UniversityInstitute for Theoretical Physics, Leipzig University
  • , D. E. KrauseAffiliated withDepartment of Physics, Purdue UniversityPhysics Department, Wabash College
  • , V. M. MostepanenkoAffiliated withInstitute for Theoretical Physics, Leipzig UniversityNoncommercial Partnership “Scientific Instruments” Email author 

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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.