Skip to main content
SpringerLink
Log in

Constrained dynamics of an anomalous (g≠2) relativistic spinning particle in electromagnetic background

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

Abstract

In this paper we have considered the dynamics of an anomalous (g≠2) charged relativistic spinning particle in the presence of an external electromagnetic field. A constraint analysis is done and the complete set of Dirac brackets are provided that generate the canonical Lorentz algebra and dynamics through Hamiltonian equations of motion. The spin-induced effective curvature of spacetime and its possible connection with Analogue Gravity models are commented upon.

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. P.A.M. Dirac, Lectures on Quantum Mechanics (Yeshiva University Press, New York, 1964)

    Google Scholar 

  2. L.D. Faddeev, R. Jackiw, Phys. Rev. Lett. 60, 1692 (1988)

    Article  MATH  ADS  MathSciNet  Google Scholar 

  3. V.O. Rivelles, Noncommutative field theories and gravity. Phys. Lett. B 558, 191 (2003). arXiv:hep-th/0212262

    Article  MATH  ADS  MathSciNet  Google Scholar 

  4. E. Harikumar, V.O. Rivelles, Class. Quantum Gravity 23, 7551–7560 (2006). arXiv:hep-th/0607115

    Article  MATH  ADS  MathSciNet  Google Scholar 

  5. A.J. Hanson, T. Regge, Ann. Phys. (NY) 87, 498 (1974)

    Article  ADS  MathSciNet  Google Scholar 

  6. A.J. Hanson, T. Regge, C. Teitelboim, Constrained Hamiltonian Systems (Academia Nazionale dei Lincei, Roma, 1976)

    Google Scholar 

  7. R. Jackiw, V.P. Nair, Phys. Rev. D 43, 1933 (1991)

    Article  ADS  MathSciNet  Google Scholar 

  8. C. Chou, V.P. Nair, A.P. Polychronakos, Phys. Lett. B 304, 105 (1993). arXiv:hep-th/9301037

    Article  ADS  MathSciNet  Google Scholar 

  9. M. Chaichian, R. Gonzalez Felipe, D. Louis Martinez, Phys. Rev. Lett. 71, 3405 (1993)

    Article  ADS  Google Scholar 

  10. S. Ghosh, Phys. Lett. B 338, 235–240 (1994). arXiv:hep-th/9406089

    Article  ADS  MathSciNet  Google Scholar 

  11. S. Ghosh, Phys. Lett. B 347, 468 (1995). Erratum

    Article  ADS  Google Scholar 

  12. S. Ghosh, Phys. Rev. D 51, 5827 (1995). arXiv:hep-th/9409169

    Article  ADS  Google Scholar 

  13. S. Ghosh, Phys. Rev. D 52, 4762 (1995) Erratum

    Article  ADS  Google Scholar 

  14. C. Duval, P.A. Horvathy, Phys. Lett. B 594, 402 (2004). arXiv:hep-th/0402191

    Article  ADS  MathSciNet  Google Scholar 

  15. V.P. Nair, A.P. Polychronakos, Phys. Lett. B 505, 267 (2001). arXiv:hep-th/0011172

    Article  MATH  ADS  MathSciNet  Google Scholar 

  16. F. Wilczek, Fractional Statistics and Anyon Superconductivity (World Scientific, Singapore, 1990)

    Google Scholar 

  17. M. Chaichian, R. Gonzalez Felipe, D. Louis Martinez, Phys. Lett. A 236, 188 (1997). arXiv:hep-th/9601119

    Article  MATH  ADS  MathSciNet  Google Scholar 

  18. N. Seiberg, E. Witten, J. High Energy Phys. 9909, 032 (1999). arXiv:hep-th/9908142

    Article  ADS  MathSciNet  Google Scholar 

  19. M.R. Douglas, N.A. Nekrasov, Rev. Mod. Phys. 73, 977 (2001). arXiv:hep-th/0106048

    Article  MATH  ADS  MathSciNet  Google Scholar 

  20. R.J. Szabo, Phys. Rep. 378, 207 (2003). arXiv:hep-th/0109162

    Article  MATH  ADS  MathSciNet  Google Scholar 

  21. R. Banerjee, B. Chakraborty, S. Ghosh, P. Mukherjee, S. Samanta, Found. Phys. 39, 1297–1345 (2009). arXiv:0909.1000

    Article  MATH  ADS  MathSciNet  Google Scholar 

  22. J.W. van Holten, Nucl. Phys. B 356, 3 (1991)

    Article  ADS  Google Scholar 

  23. J.W. van Holten, Physics A 182, 279 (1992)

    Article  ADS  Google Scholar 

  24. A. Berard, H. Mohrbach, J. Lages, Spacetime curvature induced by spin-orbit interaction (2004, unpublished)

  25. S. Ghosh, P. Pal, Phys. Rev. D 75, 105021 (2007). arXiv:hep-th/0702159

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. S.N. Bose National Centre for Basic Sciences, Block-JD, Sector-III, Salt Lake, Kolkata, 700 098, India

    Probir Pal

  2. Physics and Applied Mathematics Unit, Indian Statistical Institute, 203 B.T. Road, Kolkata, 700108, India

    Subir Ghosh

  3. Laboratoire de Physique Moléculaire et des Collisions, ICPMB, IF CNRS 2843, Université Paul Verlaine, Institut de Physique, Bd Arago, 57078, Metz, Cedex 3, France

    A. Berard, Y. Grandati & H. Mohrbach

Authors
  1. A. Berard
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Subir Ghosh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Y. Grandati
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. H. Mohrbach
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Probir Pal
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Subir Ghosh.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berard, A., Ghosh, S., Grandati, Y. et al. Constrained dynamics of an anomalous (g≠2) relativistic spinning particle in electromagnetic background. Eur. Phys. J. C 71, 1770 (2011). https://doi.org/10.1140/epjc/s10052-011-1770-7

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-011-1770-7

Keywords

Search

Navigation