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Article: Yang-Mills Interactions and Gravity in Terms of Clifford Algebra
Title | Yang-Mills Interactions and Gravity in Terms of Clifford Algebra |
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Authors | |
Keywords | Clifford Algebra Gravity Yang-Mills Interactions |
Issue Date | 2011 |
Publisher | Birkhaeuser Verlag AG. The Journal's web site is located at http://www.springer.com/sgw/cda/frontpage/0,11855,1-40293-70-76459158-0,00.html?changeHeader=true |
Citation | Advances In Applied Clifford Algebras, 2011, v. 21 n. 1, p. 145-163 How to Cite? |
Abstract | A model of Yang-Mills interactions and gravity in terms of the Clifford algebra Cℓ 0,6 is presented. The gravity and Yang-Mills actions are formulated as different order terms in a generalized action. The feebleness of gravity as well as the smallness of the cosmological constant and theta terms are discussed at the classical level. The invariance groups, including the de Sitter and the Pati-Salam SU(4) subgroups, consist of gauge transformations from either side of an algebraic spinor. Upon symmetry breaking via the Higgs fields, the remaining symmetries are the Lorentz SO(1,3), color SU(3), electromagnetic U(1) EM, and an additional U(1)′. The first generation leptons and quarks are identified with even and odd parts of spinor idempotent projections. There are still several shortcomings with the current model. Further research is needed to fully recover the standard model results. © 2010 Springer Basel AG. |
Persistent Identifier | http://hdl.handle.net/10722/168515 |
ISSN | 2023 Impact Factor: 1.1 2023 SCImago Journal Rankings: 0.414 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Lu, W | en_US |
dc.date.accessioned | 2012-10-08T03:19:53Z | - |
dc.date.available | 2012-10-08T03:19:53Z | - |
dc.date.issued | 2011 | en_US |
dc.identifier.citation | Advances In Applied Clifford Algebras, 2011, v. 21 n. 1, p. 145-163 | en_US |
dc.identifier.issn | 0188-7009 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/168515 | - |
dc.description.abstract | A model of Yang-Mills interactions and gravity in terms of the Clifford algebra Cℓ 0,6 is presented. The gravity and Yang-Mills actions are formulated as different order terms in a generalized action. The feebleness of gravity as well as the smallness of the cosmological constant and theta terms are discussed at the classical level. The invariance groups, including the de Sitter and the Pati-Salam SU(4) subgroups, consist of gauge transformations from either side of an algebraic spinor. Upon symmetry breaking via the Higgs fields, the remaining symmetries are the Lorentz SO(1,3), color SU(3), electromagnetic U(1) EM, and an additional U(1)′. The first generation leptons and quarks are identified with even and odd parts of spinor idempotent projections. There are still several shortcomings with the current model. Further research is needed to fully recover the standard model results. © 2010 Springer Basel AG. | en_US |
dc.language | eng | en_US |
dc.publisher | Birkhaeuser Verlag AG. The Journal's web site is located at http://www.springer.com/sgw/cda/frontpage/0,11855,1-40293-70-76459158-0,00.html?changeHeader=true | en_US |
dc.relation.ispartof | Advances in Applied Clifford Algebras | en_US |
dc.subject | Clifford Algebra | en_US |
dc.subject | Gravity | en_US |
dc.subject | Yang-Mills Interactions | en_US |
dc.title | Yang-Mills Interactions and Gravity in Terms of Clifford Algebra | en_US |
dc.type | Article | en_US |
dc.identifier.email | Lu, W:luwei@hku.hk | en_US |
dc.identifier.authority | Lu, W=rp00754 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1007/s00006-010-0243-7 | en_US |
dc.identifier.scopus | eid_2-s2.0-79952735044 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-79952735044&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 21 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 145 | en_US |
dc.identifier.epage | 163 | en_US |
dc.identifier.isi | WOS:000288387000009 | - |
dc.publisher.place | Switzerland | en_US |
dc.identifier.scopusauthorid | Lu, W=27868087600 | en_US |
dc.identifier.citeulike | 7509511 | - |
dc.identifier.issnl | 0188-7009 | - |