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题名: Quaternion Octonion Reformulation of Grand Unified Theories
作者: Pushpa ;  Bisht, PS ;  Li, TJ ;  Negi, OPS
刊名: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
出版日期: 2012
卷号: 51, 期号:10, 页码:3228-3235
关键词: QUANTUM FIELD-THEORY ;  QUARKS ;  CHARGES
学科分类: Physics
通讯作者: Negi, OPS (reprint author), Kumaun Univ, Dept Phys, SSJ Campus, Almora 263601, UK, India.
部门归属: [Pushpa; Bisht, P. S.; Negi, O. P. S.] Kumaun Univ, Dept Phys, Almora 263601, UK, India; [Bisht, P. S.; Li, Tianjun; Negi, O. P. S.] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
英文摘要: In this paper, Grand Unified theories are discussed in terms of quaternions and octonions by using the relation between quaternion basis elements with Pauli matrices and Octonions with Gell Mann lambda matrices. Connection between the unitary groups of GUTs and the normed division algebra has been established to re-describe the SU(5) gauge group. We have thus described the SU(5) gauge group and its subgroup SU(3)(C) x SU(2)(L) x U(1) by using quternion and octonion basis elements. As such the connection between U(1) gauge group and complex number, SU(2) gauge group and quaternions and SU(3) and octonions is established. It is concluded that the division algebra approach to the theory of unification of fundamental interactions as the case of GUTs leads to the consequences towards the new understanding of these theories which incorporate the existence of magnetic monopole and dyon.
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000309858500023
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15021
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
Pushpa,Bisht, PS,Li, TJ,et al. Quaternion Octonion Reformulation of Grand Unified Theories[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,2012,51(10):3228-3235.
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