Cosmology of a Heisenberg fluid

Joffily, S.; Novello, M.

doi:10.48550/arxiv.1607.08608

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2019

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“…Tables II and III would make possible to seek for solutions of the Dirac equation for other classes of Lounesto spinor fields. As a prototypical Heisenberg dynamics was employed to study anisotropic cosmological models [23], one may then explore this kind of dynamics for other types of Heisenberg spinor fields in the context of the minimal geometric deformation [32].…”

Section: Discussionmentioning

confidence: 99%

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The Heisenberg spinor field classification and its interplay with the Lounesto's classification

Arcodía,

Bellini,

da Rocha

2019

Preprint

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Dirac linear spinor fields were obtained from non-linear Heisenberg spinors, in the literature.Here we extend that idea by considering not only Dirac spinor fields but spinor fields in any of the Lounesto's classes. When one starts considering all these classes of fields, the question of providing a classification for the Heisenberg spinor naturally arises. In this work the classification of Heisenberg spinor fields is derived and scrutinized, in its interplay with the Lounesto's spinor field classification.

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Section: Discussionmentioning

confidence: 99%

“…Dirac spinor fields were described by a non-linear mixture of Heisenberg spinors fields [22], to show that neutrinos are quantum field states of Heisenberg spinor fields. Besides, Heisenberg dynamics was employed to study anisotropic cosmological models, generated by a non-linear fermionic ultra-relativistic fluid [23].…”

Section: Introductionmentioning

confidence: 99%