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Triality and dual equivalence between Dirac field and topologically massive gauge field
Liu Yu-Fen; Liu, YF , Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
2006
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
卷号46期号:3页码:481-492
摘要It is proved that there exists a vector representation of Dirac's spinor field and in one sense it is equivalent to biquaternion (i.e. complexified quaternion) representation. This can be considered as a generalization of Cartan's idea of triality to Dirac's spinors. In the vector representation the first-order Dirac Lagrangian is dual-equivalent to. the two-order Lagrangian of topologically massive gauge field. The potential field which corresponds to the Dirac field is obtained by using master (or parent) action approach. The novel gauge field is self-dual and contains both anti-symmetric Lee and symmetric Jordan structure.
部门归属Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
学科领域Physics
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收录类别SCI
WOS记录号WOS:000240609800018
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/5905
专题理论物理所SCI论文
通讯作者Liu, YF , Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
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Liu Yu-Fen,Liu, YF , Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China. Triality and dual equivalence between Dirac field and topologically massive gauge field[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2006,46(3):481-492.
APA Liu Yu-Fen,&Liu, YF , Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China.(2006).Triality and dual equivalence between Dirac field and topologically massive gauge field.COMMUNICATIONS IN THEORETICAL PHYSICS,46(3),481-492.
MLA Liu Yu-Fen,et al."Triality and dual equivalence between Dirac field and topologically massive gauge field".COMMUNICATIONS IN THEORETICAL PHYSICS 46.3(2006):481-492.
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