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

Cortez, Jerónimo; Inácio, Ilda; Martín-Benito, Mercedes; Velhinho, José

http://hdl.handle.net/10400.6/7245

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Authors

Cortez, Jerónimo

Inácio, Ilda

Martín-Benito, Mercedes

Velhinho, José

Abstract(s)

The Fock quantization of free fields propagating in cosmological backgrounds is in general not unambiguously defined due to the non-stationarity of the spacetime. 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 spacetime proposed by D'Eath and Halliwell.

URI

http://hdl.handle.net/10400.6/7245

Citation

Jerónimo Cortez, Ilda Inácio Rodrigues, Mercedes Martín-Benito, and José Velhinho, “On the Uniqueness of the Fock Quantization of the Dirac Field in the Closed FRW Cosmology,” Advances in Mathematical Physics, vol. 2018, Article ID 2450816, 7 pages, 2018.