NDLI: A Spin Gauge Model of a Family of Particles

Content Provider	Springer Nature Link
Author	Chisholm, J. S. Roy Farwell, Ruth S.
Copyright Year	2008
Abstract	We have defined our spin gauge model of the electron and neutrino using the ‘physical algebra’ Cℓ(1, 6). We used our new form of ‘two-sided’ gauge transformations on spinors; these are equivalence transformations on minimal left ideals of the algebra. This equivalence transformation produces an additional interaction term which reproduces the correct electroweak interactions of the electron and neutrino, based on a reduced symmetry group. In the work presented here, this model is extended to the next physical algebra Cℓ(3, 8) which enables us to include the first family of particles. The strong interactions are generated by gauge transformation based on an SU(3) symmetry group which fixes the electric charges of the particles.
Ending Page	556
Page Count	14
Starting Page	543
File Format	PDF
ISSN	01887009
e-ISSN	16614909
Journal	Advances in Applied Clifford Algebras
Issue Number	3
Volume Number	18
Language	English
Publisher	SP Birkhäuser Verlag Basel
Publisher Date	2008-05-19
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mathematical Methods in Physics gauge theories Lie algebras Clifford algebras, spinors Mathematical and Computational Physics Clifford algebras Yang-Mills and other gauge theories Applications of Mathematics Physics Applications to physics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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A Spin Gauge Model of a Family of Particles