Fock quantization of the Dirac field in hybrid quantum cosmology: Relation with adiabatic states

Elizaga de Navascués B, Mena Marugan GA, Prado S (2019)

Publication Type: Journal article

Publication year: 2019

Journal

Physical Review D American Physical Society

Book Volume: 100

Journal Issue: 12

DOI: 10.1103/PhysRevD.100.125003

Abstract

We study the relation between the Fock representations for a Dirac field given by the adiabatic scheme and the unique family of vacua with a unitarily implementable quantum evolution that is employed in hybrid quantum cosmology. This is done in the context of a perturbed flat cosmology that, in addition, is minimally coupled to fermionic perturbations. In our description, we use a canonical formulation for the entire system, formed by the underlying cosmological spacetime and all its perturbations. After introducing an adiabatic scheme that was originally developed in the context of quantum field theory in fixed cosmological backgrounds, we find that all adiabatic states belong to the family of Fock representations that allow a unitarily implementable quantum evolution (although the converse is not generally true). In particular, this unitarity of the dynamics ensures that the vacua defined with adiabatic initial conditions at different times are unitarily equivalent. We also find that, for all adiabatic orders other than 0, these initial conditions allow the definition of annihilation and creation operators for the Dirac field that lead to some finite backreaction in the quantum Hamiltonian constraint and to a fermionic Hamiltonian operator that is properly defined in the span of the n-particle/antiparticle states, in the context of hybrid quantum cosmology.

Authors with CRIS profile

Beatriz Elizaga de Navascués Chair for Theoretical Physics III (Quantum Gravity)

Involved external institutions

Spanish National Research Council / Consejo Superior de Investigaciones Científicas (CSIC) ES Spain (ES)

How to cite

APA:

Elizaga de Navascués, B., Mena Marugan, G.A., & Prado, S. (2019). Fock quantization of the Dirac field in hybrid quantum cosmology: Relation with adiabatic states. Physical Review D, 100(12). https://dx.doi.org/10.1103/PhysRevD.100.125003

MLA:

Elizaga de Navascués, Beatriz, Guillermo A. Mena Marugan, and Santiago Prado. "Fock quantization of the Dirac field in hybrid quantum cosmology: Relation with adiabatic states." Physical Review D 100.12 (2019).

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