Vector and Spinor Decomposition of SU(2) Gauge Potential, their quivalence and Knot Structure in SU(2) Chern-Simons Theory

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dc.creatorDuan, Yi-Shi
dc.creatorRen, Ji-Rong
dc.creatorLi, Ran
dc.date2007-05-30
dc.date.accessioned2026-07-07T12:53:18Z
dc.date.available2026-07-07T12:53:18Z
dc.descriptionIn this paper, spinor and vector decomposition of SU(2) gauge potential are presented and their equivalence is constructed using a simply proposal. We also obtain the action of Faddeev nonlinear O(3) sigma model from the SU(2) massive gauge field theory which is proposed according to the gauge invariant principle. At last, the knot structure in SU(2) Chern-Simons filed theory is discussed in terms of the $ϕ$--mapping topological current theory. The topological charge of the knot is characterized by the Hopf indices and the Brouwer degrees of $ϕ$-mapping.
dc.description10 pages, ni figure
dc.identifierhttps://arxiv.org/abs/0705.4338
dc.identifierhttp://arxiv.org/abs/0705.4338
dc.identifierCommun.Theor.Phys.47:875,2007
dc.identifierdoi:10.1088/0253-6102/47/5/021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223575
dc.subjectHigh Energy Physics - Theory
dc.titleVector and Spinor Decomposition of SU(2) Gauge Potential, their quivalence and Knot Structure in SU(2) Chern-Simons Theory
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