Skip to main content
SpringerLink
Log in

No interactions for a collection of spin-two fields intermediated by a massive Rarita–Schwinger field

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

Abstract

The cross-couplings among several massless spin-two fields (described in the free limit by a sum of Pauli–Fierz actions) in the presence of a massive Rarita–Schwinger field are investigated in the framework of the deformation theory based on local BRST cohomology. Under the hypotheses of locality, smoothness of the interactions in the coupling constant, Poincaré invariance, Lorentz covariance, and the preservation of the number of derivatives on each field, we prove that there are no consistent cross-interactions among different gravitons with a positively defined metric in internal space in the presence of a massive Rarita–Schwinger field. The basic features of the couplings between a single Pauli–Fierz field and a massive Rarita–Schwinger field are also emphasized.

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. C. Cutler, R.M. Wald, Class. Quantum Grav. 4, 1267 (1987)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  2. R.M. Wald, Class. Quant. Grav. 4, 1279 (1987)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. A. Hindawi, B.A. Ovrut, D. Waldram, Phys. Rev. D 53, 5583 (1996) [hep-th/9509142]

    Article  MathSciNet  ADS  Google Scholar 

  4. S.C. Anco, Annals Phys. 270, 52 (1998)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  5. S.N. Gupta, Phys. Rev. 96, 1683 (1954)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. R.H. Kraichnan, Phys. Rev. 98, 1118 (1955)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. S. Weinberg, Phys. Rev. 138, 988 (1965)

    Article  MathSciNet  ADS  Google Scholar 

  8. S. Deser, Gen. Rel. Grav. 1, 9 (1970) [gr-qc/0411023]

    Article  MathSciNet  Google Scholar 

  9. D.G. Boulware, S. Deser, Annals Phys. 89, 193 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  10. J. Fang, C. Fronsdal, J. Math. Phys. 20, 2264 (1979)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. F.A. Berends, G.J.H. Burgers, H. Van Dam, Z. Phys. C 24, 247 (1984)

    Article  MathSciNet  Google Scholar 

  12. R.M. Wald, Phys. Rev. D 33, 3613 (1986)

    Article  MathSciNet  ADS  Google Scholar 

  13. R.P. Feynman, F.B. Morinigo, W.G. Wagner, Feynman Lectures on Gravitation (ed. by B. Hatfield, Addison-Wesley, Reading, 1995)

  14. N. Boulanger, M. Esole, Class. Quantum Grav. 19, 2107 (2002) [gr-qc/0110072]

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. C. Bizdadea, E.M. Cioroianu, A.C. Lungu, S.O. Saliu, JHEP 0502, 016 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  16. N. Boulanger, T. Damour, L. Gualtieri, M. Henneaux, Nucl. Phys. B 597, 127 (2001) [hep-th/0007220]

    Article  MATH  MathSciNet  ADS  Google Scholar 

  17. I.A. Batalin, G.A. Vilkovisky, Phys. Lett. B 102, 27 (1981)

    Article  MathSciNet  ADS  Google Scholar 

  18. I.A. Batalin, G.A. Vilkovisky, Phys. Rev. D 28, 2567 (1983); Erratum-ibid. D 30, 508 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  19. I.A. Batalin, G.A. Vilkovisky, J. Math. Phys. 26, 172 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  20. M. Henneaux, Nucl. Phys. B (Proc. Suppl.) 18A, 47 (1990)

    Article  MathSciNet  ADS  Google Scholar 

  21. M. Henneaux, C. Teitelboim, Quantization of Gauge Systems (Princeton University Press, Princeton, 1992)

  22. G. Barnich, M. Henneaux, Phys. Lett. B 311, 123 (1993) [hep-th/9304057]

    Article  MathSciNet  ADS  Google Scholar 

  23. G. Barnich, F. Brandt, M. Henneaux, Commun. Math. Phys. 174, 57 (1995) [hep-th/9405109]; Phys. Rept. 338, 439 (2000) [hep-th/0002245]

    Article  MATH  MathSciNet  ADS  Google Scholar 

  24. W. Pauli, M. Fierz, Helv. Phys. Acta 12, 297 (1939); M. Fierz, W. Pauli, Proc. Roy. Soc. Lond. A 173, 211 (1939)

    MATH  Google Scholar 

  25. W. Rarita, J. Schwinger, Phys. Rev. 60, 61 (1941)

    Article  MATH  ADS  Google Scholar 

  26. M. Henneaux, Commun. Math. Phys. 140, 1 (1991)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  27. W. Siegel, hep-th/9912205

Download references

Author information

Authors and Affiliations

  1. Faculty of Physics, University of Craiova, 13 A.I. Cuza Str., Craiova, 200585, Romania

    C. Bizdadea, E.M. Cioroianu, D. Cornea, S.O. Saliu & S.C. Săraru

Authors
  1. C. Bizdadea
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E.M. Cioroianu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. Cornea
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S.O. Saliu
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. S.C. Săraru
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S.O. Saliu.

Additional information

PACS

11.10.Ef

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bizdadea, C., Cioroianu, E., Cornea, D. et al. No interactions for a collection of spin-two fields intermediated by a massive Rarita–Schwinger field. Eur. Phys. J. C 48, 265–289 (2006). https://doi.org/10.1140/epjc/s2006-02620-9

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s2006-02620-9

Keywords

Search

Navigation