Unique fermionic vacuum in de Sitter spacetime from hybrid quantum cosmology
Navascues BE, Mena Marugan GA, Prado S (2020)
Publication Type: Journal article
Publication year: 2020
Journal
Book Volume: 101
Journal Issue: 12
DOI: 10.1103/PhysRevD.101.123530
Abstract
In this work we show how the criterion of asymptotic Hamiltonian diagonalization originated in hybrid quantum cosmology serves to pick out a unique vacuum for the Dirac field in de Sitter, in the context of quantum field theory in curved spacetimes. This criterion is based on the dynamical definition of annihilation and creationlike variables for the fermionic field, which obey the linearized dynamics of a Hamiltonian that has been diagonalized in a way that is adapted to its local spatial structure. This leads to fermionic variables that possess a precise asymptotic expansion in the ultraviolet limit of large wave numbers. We explicitly show that, when the cosmological background is fixed as a de Sitter solution, this expansion uniquely selects the choice of fermionic annihilation and creationlike variables for all spatial scales, and thus picks out a unique privileged Fock representation and vacuum state for the Dirac field in de Sitter. The explicit form of the basis of solutions to the Dirac equation associated with this vacuum is then computed.
Involved external institutions
Spain (ES)How to cite
APA:
Navascues, B.E., Mena Marugan, G.A., & Prado, S. (2020). Unique fermionic vacuum in de Sitter spacetime from hybrid quantum cosmology. Physical Review D - Particles, Fields, Gravitation and Cosmology, 101(12). https://doi.org/10.1103/PhysRevD.101.123530
MLA:
Navascues, Beatriz Elizaga, Guillermo A. Mena Marugan, and Santiago Prado. "Unique fermionic vacuum in de Sitter spacetime from hybrid quantum cosmology." Physical Review D - Particles, Fields, Gravitation and Cosmology 101.12 (2020).
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