Triality and Dual Equivalence Between Dirac Field and Topologically Massive Gauge Field

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dc.creatorYu-Fen, Liu
dc.date2006-02-27
dc.date.accessioned2026-07-07T07:02:55Z
dc.date.available2026-07-07T07:02:55Z
dc.descriptionIt is proved that there exist 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 Lie and symmetric Jordan structure.
dc.description25 pages, no figs
dc.identifierhttps://arxiv.org/abs/hep-th/0602275
dc.identifierhttp://arxiv.org/abs/hep-th/0602275
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108778
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleTriality and Dual Equivalence Between Dirac Field and Topologically Massive Gauge Field
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