On the uniqueness of the Fock quantization of the Dirac field in the closed FRW cosmology

DOI10.1155/2018/2450816zbMath1408.83047arXiv1803.08272OpenAlexW3099226928WikidataQ62501372 ScholiaQ62501372MaRDI QIDQ1629168

Jerónimo Cortez, Ilda Inácio Rodrigues, Mercedes Martín-Benito, José M. Velhinho

Publication date: 11 December 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08272

zbMATH Keywords

Dirac fieldclosed FRW cosmologyFock quantization

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45)

Cites Work

• Quantum unitary dynamics in cosmological spacetimes
• Nuclearity, local quasiequivalence and split property for Dirac quantum fields in curved spacetime
• Local definiteness, primarity and quasiequivalence of quasifree Hadamard quantum states in curved spacetime
• Local quasiequivalence and adiabatic vacuum states
• Adiabatic vacuum states on general spacetime manifolds: Definition, construction, and physical properties.
• Large Coulomb systems. Lecture notes on mathematical aspects of QED. Selected papers based on the presentations at the summer school on large quantum systems -- QED, Nordfjordeid, Norway, August 11--18, 2003, and the summer school Quantum field theory -- from Hamiltonian point of view, Sandbjerg Manor, Denmark, August 2--9, 2000.
• Dirac fields in flat FLRW cosmology: uniqueness of the Fock quantization
• HADAMARD STATES, ADIABATIC VACUA AND THE CONSTRUCTION OF PHYSICAL STATES FOR SCALAR QUANTUM FIELDS ON CURVED SPACETIME
• Quantum Gowdy T ³ model: a uniqueness result
• Dirac Quantum Fields on a Manifold
• Quantum unitary evolution of linearly polarized {\sbb S}^1\times {\sbb S}^2 and {\sbb S}^3 Gowdy models coupled to massless scalar fields
• Linear Symmetries of Free Boson Fields
• The Hadamard condition for Dirac fields and adiabatic states on Robertson-Walker spacetimes

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