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Pushpa; Bisht, PS; Li, TJ; Negi, OPS; Negi, OPS (reprint author), Kumaun Univ, Dept Phys, SSJ Campus, Almora 263601, UK, India.
Quaternion Octonion Reformulation of Grand Unified Theories
Source PublicationINTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Language英语
KeywordQuantum Field-theory Quarks Charges
AbstractIn 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.
2012
ISSN0020-7748
Volume51Issue:10Pages:3228-3235
Subject AreaPhysics
Indexed BySCI
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15021
Collection理论物理所科研产出_SCI论文
Corresponding AuthorNegi, OPS (reprint author), Kumaun Univ, Dept Phys, SSJ Campus, Almora 263601, UK, India.
Recommended Citation
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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