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题名: Triality and dual equivalence between Dirac field and topologically massive gauge field
作者: Liu Yu-Fen
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2006
卷号: 46, 期号:3, 页码:481-492
学科分类: Physics
通讯作者: Liu, YF , Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
部门归属: Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
英文摘要: 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.
收录类别: SCI
原文出处: 查看原文
WOS记录号: WOS:000240609800018
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/5905
Appears in Collections:理论物理所1978-2010年知识产出_期刊论文

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Recommended Citation:
Liu Yu-Fen. Triality and dual equivalence between Dirac field and topologically massive gauge field[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2006,46(3):481-492.
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