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Article: Yang-Mills Interactions and Gravity in Terms of Clifford Algebra

TitleYang-Mills Interactions and Gravity in Terms of Clifford Algebra
Authors
KeywordsClifford Algebra
Gravity
Yang-Mills Interactions
Issue Date2011
PublisherBirkhaeuser 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?
AbstractA 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 Identifierhttp://hdl.handle.net/10722/168515
ISSN
2015 Impact Factor: 0.905
2015 SCImago Journal Rankings: 0.319
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorLu, Wen_US
dc.date.accessioned2012-10-08T03:19:53Z-
dc.date.available2012-10-08T03:19:53Z-
dc.date.issued2011en_US
dc.identifier.citationAdvances In Applied Clifford Algebras, 2011, v. 21 n. 1, p. 145-163en_US
dc.identifier.issn0188-7009en_US
dc.identifier.urihttp://hdl.handle.net/10722/168515-
dc.description.abstractA 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.languageengen_US
dc.publisherBirkhaeuser 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=trueen_US
dc.relation.ispartofAdvances in Applied Clifford Algebrasen_US
dc.subjectClifford Algebraen_US
dc.subjectGravityen_US
dc.subjectYang-Mills Interactionsen_US
dc.titleYang-Mills Interactions and Gravity in Terms of Clifford Algebraen_US
dc.typeArticleen_US
dc.identifier.emailLu, W:luwei@hku.hken_US
dc.identifier.authorityLu, W=rp00754en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1007/s00006-010-0243-7en_US
dc.identifier.scopuseid_2-s2.0-79952735044en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79952735044&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume21en_US
dc.identifier.issue1en_US
dc.identifier.spage145en_US
dc.identifier.epage163en_US
dc.identifier.isiWOS:000288387000009-
dc.publisher.placeSwitzerlanden_US
dc.identifier.scopusauthoridLu, W=27868087600en_US
dc.identifier.citeulike7509511-

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