Yang-Mills Interactions and Gravity in Terms of Clifford Algebra

被引：0
作者：
Wei Lu
机构：
[1] Forest Hills,
来源：
Advances in Applied Clifford Algebras | 2011年 / 21卷
关键词：
Clifford algebra; Yang-Mills interactions; gravity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A model of Yang-Mills interactions and gravity in terms of the Clifford algebra Cℓ0,6 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.
引用
收藏
页码：145 / 163
页数：18
相关论文
共 37 条
[11]  
Gotzes S.(1984)undefined Phys. Rev. D 29 1690-undefined
[12]  
Hirshfeld A.C.(2005)undefined Phys. Rev. D 72 104002-undefined
[13]  
Pati J.C.(2005)undefined Eur. Phys. J. C 42 437-undefined
[14]  
Salam A.(1982)undefined J. Math. Phys. 23 373-undefined
[15]  
Lasenby A.(1996)undefined Phys. Rev. D 53 5966-undefined
[16]  
Doran C.(2004)undefined Class. Quant. Grav. 21 R53-undefined
[17]  
Gull S.(1980)undefined Phys. Rev. D 4 867-undefined
[18]  
Pagels H.R.(1999)undefined Phys. Rev. D 59 047505-undefined
[19]  
Freidel L.(1977)undefined Phys. Rev. Lett. 38 1440-undefined
[20]  
Minic D.(1980)undefined Phys. Rev. D 21 1466-undefined
1234