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On the Uniqueness of the Fock Quantization of the Dirac Field in the Closed FRW Cosmology

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  • Jerónimo Cortez
  • Ilda Inácio Rodrigues
  • Mercedes Martín-Benito
  • José Velhinho

Abstract

The Fock quantization of free fields propagating in cosmological backgrounds is in general not unambiguously defined due to the nonstationarity of the space-time. For the case of a scalar field in cosmological scenarios, it is known that the criterion of unitary implementation of the dynamics serves to remove the ambiguity in the choice of Fock representation (up to unitary equivalence). Here, applying the same type of arguments and methods previously used for the scalar field case, we discuss the issue of the uniqueness of the Fock quantization of the Dirac field in the closed FRW space-time proposed by D’Eath and Halliwell.

Suggested Citation

  • Jerónimo Cortez & Ilda Inácio Rodrigues & Mercedes Martín-Benito & José Velhinho, 2018. "On the Uniqueness of the Fock Quantization of the Dirac Field in the Closed FRW Cosmology," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-7, March.
    • Handle: RePEc:hin:jnlamp:2450816
    DOI: 10.1155/2018/2450816
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    Cited by:

    1. Jerónimo Cortez & Guillermo A. Mena Marugán & José Velhinho, 2020. "Quantum Linear Scalar Fields with Time Dependent Potentials: Overview and Applications to Cosmology," Mathematics, MDPI, vol. 8(1), pages 1-49, January.

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