International Journal of Theoretical Physics

, Volume 52, Issue 9, pp 3182–3187 | Cite as

Ward Identity in Krein Space Quantization

Article
  • 49 Downloads

Abstract

In the previous paper, Krein space quantization has been studied for QED (Forghan et al. in Ann. Phys. 327:2388, 2012). In this paper, the relation between the vertex function and the electron self energy has been studied, showing that the Ward identity is correct for Krein space quantization.

Keywords

Krein quantization Electron self energy Vertex function Ward identity 

Notes

Acknowledgements

The author would like to thank Prof. M.V. Takook for his useful discussions. This work was supported by the Islamic Azad University of Parand.

References

  1. 1.
    Forghan, B., Takook, M.V., Zarei, A.: Ann. Phys. 327, 2388 (2012). arXiv:1206.2796 MathSciNetADSMATHCrossRefGoogle Scholar
  2. 2.
    Takook, M.V., Rouhani, S.: Quantum gravity in Krein space quantization (2012). arXiv:1208.5562
  3. 3.
    Allen, B.: Phys. Rev. D, Part. Fields 32, 3136 (1985) ADSCrossRefGoogle Scholar
  4. 4.
    Gazeau, J.P., Renaud, J., Takook, M.V.: Class. Quantum Gravity 17, 1415 (2000). arXiv:gr-qc/9904023 MathSciNetADSMATHCrossRefGoogle Scholar
  5. 5.
    Takook, M.V.: Int. J. Mod. Phys. E 11, 509 (2002). arXiv:gr-qc/0006019 ADSCrossRefGoogle Scholar
  6. 6.
    De Bievre, S., Renaud, J.: Phys. Rev. D 57, 6230 (1998) MathSciNetADSCrossRefGoogle Scholar
  7. 7.
    Takook, M.V.: Mod. Phys. Lett. A 16, 1691 (2001). arXiv:gr-qc/0005020 MathSciNetADSMATHCrossRefGoogle Scholar
  8. 8.
    Peskin, E., Schroeder, D.V.: An Introduction in Quantum Field Theory. Perseus Books, New York (1995) Google Scholar
  9. 9.
    Birrell, N.D., Davies, P.C.W.: Quantum Field in Curved Space. Cambridge University Press, Cambridge (1982) MATHCrossRefGoogle Scholar
  10. 10.
    Zarei, A., Forghan, B., Takook, M.V.: Int. J. Theor. Phys. 50, 2466 (2011) MathSciNetMATHCrossRefGoogle Scholar
  11. 11.
    Itzykson, C., Zuber, J.-B.: Quantum Field Theory. McGraw-Hill, New York (1988) Google Scholar
  12. 12.
    Huang, K.: Quantum Field Theory. Wiley-Interscience, New York (1998) MATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of PhysicsIslamic Azad University, Parand BranchParandIran

Personalised recommendations