Assuming 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.

Item Type:	Refereed Article
Research Division:	Physical Sciences
Research Group:	Atomic, Molecular, Nuclear, Particle and Plasma Physics
Research Field:	Particle Physics
Objective Division:	Expanding Knowledge
Objective Group:	Expanding Knowledge
Objective Field:	Expanding Knowledge in the Physical Sciences
Author:	Delbourgo, R (Professor Robert Delbourgo)
ID Code:	90691
Year Published:	1992
Web of Science® Times Cited:	1
Deposited By:	Mathematics and Physics
Deposited On:	2014-04-16
Last Modified:	2014-04-16
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