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Dolan, Brian P. (2003) Non-commutative Complex Projective Spaces And The Standard Model. Modern Physics Letters A, 18 (33-35). pp. 2319-2327. ISSN 0217-7323
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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
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
way.
| Item Type: | Article |
|---|---|
| Additional Information: | 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] |
| Keywords: | Non-commutative geometry; standard model; particle physics; right-handed 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/2561 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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