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- W3190302983 abstract "As a sequel to our previous work [1], we propose in this paper a quantization scheme for Dirac field inde Sitter spacetime. Our scheme is covariant under both general transformations and Lorentz transforma-tions. We first present a Hamiltonian structure, then quantize the field following the standard approachof constrained systems. For the free field, the time-dependent quantized Hamiltonian is diagonalized byBogliubov transformation and the eigen-states at each instant are interpreted as the observed particle statesat that instant. The measurable energy-momentum of observed particle/antiparticles are the same as ob-tained for Klein-Gordon field. Moreover, the energy-momentum also satisfies geodesic equation, a featurejustifying its measurability. As in [1], though the mathematics is carried out in terms of conformal coordi-nates for the sake of convenience, the whole theory can be transformed into any other coordinates based ongeneral covariance. It is concluded that particle/antiparticle states, such as vacuum states in particular aretime-dependent and vacuum states at one time evolves into non-vacuum states at later times. Formalismof perturbational calculation is provided with an extended Dirac picture." @default.
- W3190302983 created "2021-08-16" @default.
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- W3190302983 creator A5057563253 @default.
- W3190302983 date "2021-01-31" @default.
- W3190302983 modified "2023-10-16" @default.
- W3190302983 title "A Generally Covariant Theory of Quantized Dirac Field in de Sitter Spacetime" @default.
- W3190302983 doi "https://doi.org/10.31526/lhep.2021.205" @default.
- W3190302983 hasPublicationYear "2021" @default.
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