Abstract
The de Sitter solution to the positive cosmological Einstein field equation has been viewed as a one-sheeted hyperboloid embedded in a five dimensional Minkowski space. To find Lagrangian equation of supersymmetry-group in the de Sitter space, the different spinor field’s quantization have been demonstrated. In this work, the first quantization of spin \(\frac{3}{2}\) field in the time-space de Sitter universe with ambient space notation has been done.
References
Garidi, T., Gazeau, J.P., Rouhani, S., Takook, M.V.: arXiv:gr-qc/0608004V1 (2006)
Bagger, J., Galpperin, A.: Phys. Rev. D 55, 1091 (1997)
Bartesaghi, P., Gazeau, J.P., Moschella, U., Takook, M.V.: Class. Quantum. Gravity 18, 4373 (2001)
Coleman, S., Mandula, J.: Phys. Rev. 159, 1251 (1967)
Gazeau, J.P., Takook, M.V.: J. Math. 41, 5920 (2000)
Lesimple, M.: Lett. Mat. Phys. 143, 150 (1988)
Bicak, J., Krtous, P.: Phys. Rev. Lett. 88, 211101 (2002)
Pahlavan, A., Rouhani, S., Takook, M.V.: arXiv:gr-qc/0506099v2, 9 Oct. 2005
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Pahlavan, A., Bahari, A. The First Quantization of Spin \(\frac{3}{2}\) Field in de Sitter Space. Int J Theor Phys 48, 1449–1453 (2009). https://doi.org/10.1007/s10773-008-9915-7
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DOI: https://doi.org/10.1007/s10773-008-9915-7