The free Dirac spinors of the spin basis on the de Sitter expanding universe

Abstract

It is shown that on the de Sitter space-time the global behavior of the free Dirac spinors in momentum representation is determined by several phases factors which are functions of momentum with special properties. Such suitable phase functions can be chosen for writing down the free Dirac quantum modes of the spin basis that are well-defined even for the particles at rest in the moving local charts where the modes of the helicity basis remain undefined. Under quantization these modes lead to a basis in which the one-particle operators keep their usual forms apart from the energy operator which lays out a specific term which depend on the concrete phase function one uses.

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References in corpus (5)

• The physical meaning of the de Sitter invariants
• The quantum theory of scalar fields on the de Sitter expanding universe
• New Dirac quantum modes in moving frames of the de Sitter spacetime
• Polarized vector bosons on the de Sitter expanding universe
• Remarks on the spherical waves of the Dirac field on de Sitter spacetime

Cited by in corpus (9)

• Covariant representations of the de Sitter isometry group
• Integral representation of the Feynman propagators of the Dirac fermions on the de Sitter expanding universe
• Rest frame vacuum of the Dirac field on spatially flat FLRW spacetimes
• Canonical quantization of the covariant fields on de Sitter spacetimes
• Propagators of the Dirac fermions on spatially flat FLRW spacetimes
• On the rest and flat limits of the scalar modes on the de Sitter spacetime
• Flat limit of the de Sitter QFT in the rest frame vacuum
• Time evolution of the free Dirac field in spatially flat FLRW space-times
• Isometry generators in momentum representation of the Dirac theory on the de Sitter spacetime