The European Physical Journal C

, Volume 68, Issue 1–2, pp 223–226 | Cite as

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

  • E. Fischbach
  • G. L. Klimchitskaya
  • D. E. Krause
  • V. M. Mostepanenko
Regular Article - Theoretical Physics

Abstract

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.

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References

  1. 1.
    R.S. Decca, D. López, E. Fischbach, G.L. Klimchitskaya, D.E. Krause, V.M. Mostepanenko, Eur. Phys. J. C 51, 963 (2007) CrossRefADSGoogle Scholar
  2. 2.
    R.S. Decca, D. López, E. Fischbach, G.L. Klimchitskaya, D.E. Krause, V.M. Mostepanenko, Phys. Rev. D 75, 077101 (2007) CrossRefADSGoogle Scholar
  3. 3.
    J. Blocki, J. Randrup, W.J. Swiatecki, C.F. Tsang, Ann. Phys. (NY) 105, 427 (1997) CrossRefADSGoogle Scholar
  4. 4.
    E. Fischbach, C.L. Talmadge, The Search for Non-Newtonian Gravity (Springer, New York, 1999) MATHGoogle Scholar
  5. 5.
    M. Bordag, G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko, Advances in the Casimir Effect (Oxford University Press, Oxford, 2009) CrossRefGoogle Scholar
  6. 6.
    R.S. Decca, E. Fischbach, G.L. Klimchitskaya, D.E. Krause, D. López, V.M. Mostepanenko, Phys. Rev. D 79, 124021 (2009) CrossRefADSGoogle Scholar
  7. 7.
    B.V. Derjaguin, Kolloid Z. 69, 155 (1934) CrossRefGoogle Scholar
  8. 8.
    D.A.R. Dalvit, R. Onofrio, Phys. Rev. D 80, 064025 (2009) CrossRefADSGoogle Scholar
  9. 9.
    H. Gies, K. Klingmüller, Phys. Rev. Lett. 96, 220401 (2006) CrossRefADSGoogle Scholar
  10. 10.
    M. Bordag, V. Nikolaev, J. Phys. A: Math. Theor. 41, 164002 (2008) CrossRefMathSciNetADSGoogle Scholar
  11. 11.
    P.A. Maia Neto, A. Lambrecht, S. Reynaud, Phys. Rev. A 78, 012115 (2008) CrossRefADSGoogle Scholar
  12. 12.
    A. Canaguier-Durand, P.A. Maia Neto, I. Cavero-Pelaez, A. Lambrecht, S. Reynaud, Phys. Rev. Lett. 102, 230404 (2009) CrossRefADSGoogle Scholar
  13. 13.
    A. Wirzba, J. Phys. A: Math. Theor. 41, 164003 (2008) CrossRefMathSciNetADSGoogle Scholar
  14. 14.
    D.E. Krause, R.S. Decca, D. López, E. Fischbach, Phys. Rev. Lett. 98, 050403 (2007) CrossRefADSGoogle Scholar
  15. 15.
    T. Emig, R.L. Jaffe, J. Phys. A: Math. Theor. 41, 164001 (2008) CrossRefMathSciNetADSGoogle Scholar
  16. 16.
    T. Emig, J. Stat. Mech. P04007 (2008) Google Scholar
  17. 17.
    Particle Data Group, Phys. Lett. B 667, 1 (2008) CrossRefADSGoogle Scholar
  18. 18.
    G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko, Rev. Mod. Phys. 81, 1827 (2009) CrossRefADSGoogle Scholar
  19. 19.
    R.S. Decca, D. López, E. Fischbach, G.L. Klimchitskaya, D.E. Krause, V.M. Mostepanenko, Ann. Phys. (NY) 318, 37 (2005) MATHCrossRefADSGoogle Scholar
  20. 20.
    M. Bordag, B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. D 58, 075003 (1998) CrossRefADSGoogle Scholar
  21. 21.
    M. Bordag, B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. D 62, 011701(R) (2000) CrossRefADSGoogle Scholar
  22. 22.
    V.B. Bezerra, G.L. Klimchitskaya, V.M. Mostepanenko, C. Romero, Phys. Rev. D 81, 055003 (2010) CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  • E. Fischbach
    • 1
  • G. L. Klimchitskaya
    • 2
    • 3
  • D. E. Krause
    • 1
    • 4
  • V. M. Mostepanenko
    • 3
    • 5
  1. 1.Department of PhysicsPurdue UniversityWest LafayetteUSA
  2. 2.North-West Technical UniversitySt. PetersburgRussia
  3. 3.Institute for Theoretical PhysicsLeipzig UniversityLeipzigGermany
  4. 4.Physics DepartmentWabash CollegeCrawfordsvilleUSA
  5. 5.Noncommercial Partnership “Scientific Instruments”MoscowRussia

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