Dolan, Brian P.
(2003)
Noncommutative Complex Projective Spaces
And The Standard Model.
Modern Physics Letters A, 18 (3335).
pp. 23192327.
ISSN 02177323
Abstract
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
nontrivial background gauge fields. By borrowing from ideas in Connes'
noncommutative 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 spacetime.
Higgs' fields and Yukawa couplings can be accommodated in the usual
way.
Item Type: 
Article

Additional Information: 
Electronic version of an article published in Physics Letters A, Volume 18, Issue, 2003, pp.23192327 [DOI: 10.1142/S0217732303012532] © copyright World Scientific Publishing Company [http://www.worldscinet.com/mpla/mpla.shtml] 
Keywords: 
Noncommutative geometry; standard model; particle physics; righthanded neutrinos; 
Academic Unit: 
Faculty of Science and Engineering > Mathematical Physics 
Item ID: 
2561 
Identification Number: 
DOI: 10.1142/S0217732303012532 
Depositing User: 
Dr. Brian Dolan

Date Deposited: 
17 Jun 2011 11:22 
Journal or Publication Title: 
Modern Physics Letters A 
Publisher: 
World Scientific Journals 
Refereed: 
No 
URI: 

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