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General Solution of Massless Spin-\(\frac {3}{2}\) Field in de Sitter Universe

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Abstract

This paper is devoted to a general solution of the massless spin-\(\frac {3}{2}\) field in de Sitter space without any conditions in ambient space formalism. A general solution of the second-order field equation can be written in terms of a vector-spinor polarization state and a massless conformally coupled scalar field.

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References

  1. Ade, P.A.R., et al.: Detection of B-Mode polarization at degree angular scales by BICEP2. Phys. Rev. Lett. 112, 241101 (2014). arXiv:1403.3985v3

    Article  ADS  Google Scholar 

  2. Perlmutter, S., et al.: Measurement of Ω and Λ from 42 high-redshift supernovae. Astrophys. J. 517, 565 (1999)

  3. Riess, A.G., et al.: Observational evidence from supernovae for an accelerating universe and a cosmological constant. Astron. J. 116, 1009 (1998). arXiv:9805201v1

    Article  ADS  Google Scholar 

  4. Bunch, T.S., Davies, P.C.W.: Quantum field theory in de sitter space: renormalization by point-splitting. Proc. R. Soc. Lond. A 360, 117 (1978)

    Article  ADS  MathSciNet  Google Scholar 

  5. Allen, B.: Vacuum states in de Sitter space. Phys. Rev. D 32, 3136 (1985)

    Article  ADS  MathSciNet  Google Scholar 

  6. Bros, J., Moschella, U.: Two-point functions and quantum field in the de Sitter Universe. Rev. Math. Phys. 8, 327 (1996). arXiv:9511019v1

    Article  MathSciNet  MATH  Google Scholar 

  7. Chernikov, N.A., Tagirov, E.A.: Quantum theory of scalar field in de Sitter space-time. Ann. Inst. Henri Poincaré IX, 109 (1968)

    ADS  MathSciNet  MATH  Google Scholar 

  8. Takook, M.V.: Entropy of quantum fields in de sitter space-time. arXiv:1306.3575

  9. Takook, M.V.: Quantum field theory in de Sitter universe: ambient space formalism. arXiv:1403.1204v2

  10. Pagels, H., Primack, J.R.: Supersymmetry, cosmology, and new physics at Teraelectronvolt energies. Phys. Rev. Lett. 48, 223 (1982)

    Article  ADS  Google Scholar 

  11. Moroi, T., Murayama, H., Yamaguchi, M.: Cosmological constraints on the light stable gravitino. Phys. Lett. B 303, 289 (1993)

    Article  ADS  Google Scholar 

  12. Kohri, K., Moroi, T., Yotsuyanagi, A.: Big-Bang nucleosynthesis with unstable gravitino and upper bound on the reheating temperature. Phys. Rev. D 73, 123511 (2006). arXiv:0507245v1

    Article  ADS  Google Scholar 

  13. Rarita, W., Schwinger, J.: On a theory of particles with half-integral spin. Phys. Rev. 60, 61 (1941)

    Article  ADS  MATH  Google Scholar 

  14. Takook, M.V., Azizi, A., Babaian, E.: Covariant quantization of massive spin-\(\frac {3}{2}\) fields in the de Sitter space. Eur. Phys. J. C 72, 2026 (2012). arXiv:1206.1997v1

  15. Fatahi, N., Takook, M.V., Tanhayi, M.R.: Conformally covariant vector-spinor field in de Sitter space. Eur. Phys. J. C 74, 3111 (2014). arXiv:1405.7535v2

    Article  ADS  Google Scholar 

  16. Parsamehr, S., Enayati, M., Takook, M.V.: Vector-spinor super-gauge field in de Sitter Universe. arXiv:1504.00453v1

  17. Takook, M.V.: Théorie quantique des champs pour des systèmes élémentaires. Takook, Théorie quantique des champs pour des systèmes élémentaires “massifs” et de “masse nulle” sur l’espace- temps de de Sitter. Thèse de l’université Paris VI (1997)

  18. Bartesaghi, P., Gazeau, J.P., Moschella, U., Takook, M.V.: Dirac fields and thermal effects in the de Sitter universe. Class Quant. Grav. 18, 4373 (2001)

    Article  ADS  MathSciNet  MATH  Google Scholar 

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Acknowledgments

I would like to express our heartfelt thank and sincere gratitude to Professor M.V. Takook for his helpful discussions. I am grateful to M. Enayati for useful discussions.

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  1. Department of Physics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    S. Parsamehr

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  1. S. Parsamehr
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Correspondence to S. Parsamehr.

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Parsamehr, S. General Solution of Massless Spin-\(\frac {3}{2}\) Field in de Sitter Universe. Int J Theor Phys 55, 1043–1048 (2016). https://doi.org/10.1007/s10773-015-2747-3

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  • DOI: https://doi.org/10.1007/s10773-015-2747-3

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