an:06991939
Zbl 1408.83047
Cortez, Jer??nimo; In??cio Rodrigues, Ilda; Mart??n-Benito, Mercedes; Velhinho, Jos??
On the uniqueness of the Fock quantization of the Dirac field in the closed FRW cosmology
EN
Adv. Math. Phys. 2018, Article ID 2450816, 7 p. (2018).
00424044
2018
j
83F05 83C45 81T20
Fock quantization; Dirac field; closed FRW cosmology
Summary: 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 \textit{P. D. D'Eath} and \textit{J. J. Halliwell} [``Fermions in quantum cosmology'', Phys. Rev. D (3) 35, No. 4, 1100--1123 (1987; \url{doi:10.1103/PhysRevD.35.1100})].