Skip to main content
SpringerLink
Log in

Dirac particles in a gravitational field

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

Abstract

The semiclassical approximation for the Hamiltonian of Dirac particles interacting with an arbitrary gravitational field is investigated. The time dependence of the metric leads to new contributions to the in-band energy operator in comparison to previous works in the static case. In particular we find a new coupling term between the linear momentum and the spin, as well as couplings that contribute to the breaking of the particle–antiparticle symmetry.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L.L. Foldy, S.A. Wouthuysen, Phys. Rev. 78, 29 (1950)

    Article  ADS  MATH  Google Scholar 

  2. Y.N. Obukhov, Phys. Rev. Lett. 86, 192 (2001)

    Article  MathSciNet  ADS  Google Scholar 

  3. Y.N. Obukhov, Fortschr. Phys. 50, 711 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  4. Y.N. Obukhov, Phys. Rev. Lett. 89, 068903 (2002)

    Article  MathSciNet  ADS  Google Scholar 

  5. A.J. Silenko, O.V. Teryaev, Phys. Rev. D 71, 064016 (2005)

    Article  ADS  Google Scholar 

  6. J.D. Bjorken, S.D. Drell, Relativistic Quantum Fields (McGraw-Hill, New York, 1965)

    MATH  Google Scholar 

  7. M. Leclerc, Class. Quantum Gravity 23, 4013 (2006)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. P. Gosselin, A. Bérard, H. Mohrbach, Phys. Rev. D 75, 084035 (2007)

    Article  ADS  Google Scholar 

  9. P. Gosselin, A. Bérard, H. Mohrbach, Phys. Lett. A 368, 356 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. P. Gosselin, H. Mohrbach, Eur. Phys. J. C 64, 495 (2009)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  11. P. Gosselin, J. Hanssen, H. Mohrbach, Phys. Rev. D 77, 085008 (2008)

    Article  ADS  Google Scholar 

  12. P. Gosselin, A. Bérard, H. Mohrbach, Eur. Phys. J. B 58, 137 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. P. Gosselin, H. Mohrbach, J. Phys. A, Math. Theor. 43, 354025 (2010)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut Fourier, UMR 5582 CNRS-UJF, UFR de Mathématiques, Université Grenoble I, BP74, 38402, Saint Martin d’Hères Cedex, France

    Pierre Gosselin

  2. Groupe BioPhysStat, ICPMB-FR CNRS 2843, Université Paul Verlaine-Metz, 57078, Metz Cedex 3, France

    Hervé Mohrbach

Authors
  1. Pierre Gosselin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hervé Mohrbach
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hervé Mohrbach.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gosselin, P., Mohrbach, H. Dirac particles in a gravitational field. Eur. Phys. J. C 71, 1739 (2011). https://doi.org/10.1140/epjc/s10052-011-1739-6

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-011-1739-6

Keywords

Search

Navigation