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Fermi-Dirac equations
journal contribution
posted on 2023-05-17, 23:51 authored by Robert DelbourgoRobert Delbourgo, Jones, LMAssuming that space-time is accompanied by hidden anticommuting coordinates, we have constructed 'fermionic' generalisations of the Dirac equation; these equations involve matrices (which can be construed as operating in an internal space) multiplying the Grassmann derivatives. We discuss several models, of varying degrees of complexity, with 'internal symmetries' including Sp(2) and SU(N). By appending the space-time Dirac operator, one is led to mass spectra with quantised values, suggesting that this approach may provide a model relating generations to internal symmetries.
History
Publication title
Australian Journal of PhysicsVolume
45Issue
5Pagination
621-634ISSN
0004-9506Department/School
School of Natural SciencesPublisher
CSIROPlace of publication
AustraliaRepository Status
- Restricted