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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
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
AbstractIt 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.
2006
ISSN0253-6102
Volume46Issue:3Pages:481-492
Subject AreaPhysics
Indexed BySCI
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/5905
Collection理论物理所科研产出_SCI论文
Corresponding AuthorLiu, YF , Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
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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