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Unique Fock quantization of a massive fermion field in a cosmological scenario

AuthorsCortez, Jerónimo; Elizaga Navascués, Beatriz CSIC ORCID; Martín-Benito, Mercedes CSIC ORCID; Mena Marugán, Guillermo A. CSIC ORCID; Velhinho, José M.
Issue Date29-Apr-2016
PublisherAmerican Physical Society
CitationPhysical Review D - Particles, Fields, Gravitation and Cosmology 93: 084053 (2016)
AbstractIt is well known that the Fock quantization of field theories in general spacetimes suffers from an infinite ambiguity, owing to the inequivalent possibilities in the selection of a representation of the canonical commutation or anticommutation relations, but also owing to the freedom in the choice of variables to describe the field among all those related by linear time-dependent transformations, including the dependence through functions of the background. In this work we remove this ambiguity (up to unitary equivalence) in the case of a massive Dirac free field propagating in a spacetime with homogeneous and isotropic spatial sections of spherical topology. Two physically reasonable conditions are imposed in order to arrive at this result: (a) The invariance of the vacuum under the spatial isometries of the background, and (b) the unitary implementability of the dynamical evolution that dictates the Dirac equation. We characterize the Fock quantizations with a nontrivial fermion dynamics that satisfy these two conditions. Then, we provide a complete proof of the unitary equivalence of the representations in this class under very mild requirements on the time variation of the background, once a criterion to discern between particles and antiparticles has been set. © 2016 American Physical Society
Description13 pags., app.
Publisher version (URL)
Identifiersdoi: 10.1103/PhysRevD.93.084053
issn: 1550-2368
Appears in Collections:(CFMAC-IEM) Artículos

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