Skip to main content
Log in

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

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R.S. Decca, D. López, E. Fischbach, G.L. Klimchitskaya, D.E. Krause, V.M. Mostepanenko, Eur. Phys. J. C 51, 963 (2007)

    Article  ADS  Google Scholar 

  2. R.S. Decca, D. López, E. Fischbach, G.L. Klimchitskaya, D.E. Krause, V.M. Mostepanenko, Phys. Rev. D 75, 077101 (2007)

    Article  ADS  Google Scholar 

  3. J. Blocki, J. Randrup, W.J. Swiatecki, C.F. Tsang, Ann. Phys. (NY) 105, 427 (1997)

    Article  ADS  Google Scholar 

  4. E. Fischbach, C.L. Talmadge, The Search for Non-Newtonian Gravity (Springer, New York, 1999)

    MATH  Google Scholar 

  5. M. Bordag, G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko, Advances in the Casimir Effect (Oxford University Press, Oxford, 2009)

    Book  Google Scholar 

  6. R.S. Decca, E. Fischbach, G.L. Klimchitskaya, D.E. Krause, D. López, V.M. Mostepanenko, Phys. Rev. D 79, 124021 (2009)

    Article  ADS  Google Scholar 

  7. B.V. Derjaguin, Kolloid Z. 69, 155 (1934)

    Article  Google Scholar 

  8. D.A.R. Dalvit, R. Onofrio, Phys. Rev. D 80, 064025 (2009)

    Article  ADS  Google Scholar 

  9. H. Gies, K. Klingmüller, Phys. Rev. Lett. 96, 220401 (2006)

    Article  ADS  Google Scholar 

  10. M. Bordag, V. Nikolaev, J. Phys. A: Math. Theor. 41, 164002 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  11. P.A. Maia Neto, A. Lambrecht, S. Reynaud, Phys. Rev. A 78, 012115 (2008)

    Article  ADS  Google Scholar 

  12. A. Canaguier-Durand, P.A. Maia Neto, I. Cavero-Pelaez, A. Lambrecht, S. Reynaud, Phys. Rev. Lett. 102, 230404 (2009)

    Article  ADS  Google Scholar 

  13. A. Wirzba, J. Phys. A: Math. Theor. 41, 164003 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  14. D.E. Krause, R.S. Decca, D. López, E. Fischbach, Phys. Rev. Lett. 98, 050403 (2007)

    Article  ADS  Google Scholar 

  15. T. Emig, R.L. Jaffe, J. Phys. A: Math. Theor. 41, 164001 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  16. T. Emig, J. Stat. Mech. P04007 (2008)

  17. Particle Data Group, Phys. Lett. B 667, 1 (2008)

    Article  ADS  Google Scholar 

  18. G.L. Klimchitskaya, U. Mohideen, V.M. Mostepanenko, Rev. Mod. Phys. 81, 1827 (2009)

    Article  ADS  Google Scholar 

  19. R.S. Decca, D. López, E. Fischbach, G.L. Klimchitskaya, D.E. Krause, V.M. Mostepanenko, Ann. Phys. (NY) 318, 37 (2005)

    Article  MATH  ADS  Google Scholar 

  20. M. Bordag, B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. D 58, 075003 (1998)

    Article  ADS  Google Scholar 

  21. M. Bordag, B. Geyer, G.L. Klimchitskaya, V.M. Mostepanenko, Phys. Rev. D 62, 011701(R) (2000)

    Article  ADS  Google Scholar 

  22. V.B. Bezerra, G.L. Klimchitskaya, V.M. Mostepanenko, C. Romero, Phys. Rev. D 81, 055003 (2010)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. M. Mostepanenko.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fischbach, E., Klimchitskaya, G.L., Krause, D.E. et al. On the validity of constraints on light elementary particles and extra-dimensional physics from the Casimir effect. Eur. Phys. J. C 68, 223–226 (2010). https://doi.org/10.1140/epjc/s10052-010-1326-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s10052-010-1326-2

Keywords

Navigation