Dolan, Brian P.
Non-commutative Complex Projective Spaces
And The Standard Model.
Modern Physics Letters A, 18 (33-35).
The standard model fermion spectrum, including a right handed neutrino,
can be obtained as a zeremode of the Dirac operator on a space
which is the product of complex projective spaces of complex dimension
two and three. The construction requires the introduction of topologically
non-trivial background gauge fields. By borrowing from ideas in Connes'
non-commutative geometry and making the complex spaces 'fuzzy' a matrix
approximation to the fuzzy space allows for three generations to
emerge. The generations are associated with three copies of space-time.
Higgs' fields and Yukawa couplings can be accommodated in the usual
||Electronic version of an article published in Physics Letters A, Volume 18, Issue, 2003, pp.2319-2327 [DOI: 10.1142/S0217732303012532] © copyright World Scientific Publishing Company [http://www.worldscinet.com/mpla/mpla.shtml]
||Non-commutative geometry; standard model; particle physics; right-handed neutrinos;
||Faculty of Science and Engineering > Mathematical Physics
Dr. Brian Dolan
||17 Jun 2011 11:22
|Journal or Publication Title:
||Modern Physics Letters A
||World Scientific Journals
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