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Quaternion Octonion Reformulation of Grand Unified Theories
Pushpa; Bisht, PS; Li, TJ; Negi, OPS; Negi, OPS (reprint author), Kumaun Univ, Dept Phys, SSJ Campus, Almora 263601, UK, India.
2012
发表期刊INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
ISSN0020-7748
卷号51期号:10页码:3228-3235
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.
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
关键词Quantum Field-theory Quarks Charges
学科领域Physics
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收录类别SCI
语种英语
WOS记录号WOS:000309858500023
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被引频次:1[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/15021
专题理论物理所SCI论文
通讯作者Negi, OPS (reprint author), Kumaun Univ, Dept Phys, SSJ Campus, Almora 263601, UK, India.
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GB/T 7714
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.
APA Pushpa,Bisht, PS,Li, TJ,Negi, OPS,&Negi, OPS .(2012).Quaternion Octonion Reformulation of Grand Unified Theories.INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS,51(10),3228-3235.
MLA Pushpa,et al."Quaternion Octonion Reformulation of Grand Unified Theories".INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS 51.10(2012):3228-3235.
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