U(1) Connection, Nonlinear Dirac-like Equations and Seiberg-Witten Equations

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dc.creatorHu, L. Z.
dc.creatorHu, L. Y.
dc.date2000-01-22
dc.date.accessioned2026-07-07T04:09:22Z
dc.date.available2026-07-07T04:09:22Z
dc.descriptionBy analysing the work of Campolattaro we argue that the second Seiberg-Witten equation over the Spin^c_4 manifold, i.e., F^+_{ij}=< M,S_ij M >, is the generalization of the Campolattaro's description of the electromagnetic field tensor F^{μν} in the bilinear form F^{μν}=\barΨ S^{μν}Ψ. It turns out that the Seiberg-Witten equations (also the perturbed Seiberg-Witten equations) can be well understood from this point of view. We suggest that the second Seiberg-Witten equation can be replaced by a nonlinear Dirac-like Equation. We also derive the spinor representation of the connection on the associated unitary line bundle over the Spin^c_4 manifold.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0001147
dc.identifierhttp://arxiv.org/abs/hep-th/0001147
dc.identifierInt.J.Theor.Phys. 37 (1998) 2115-2125
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/49820
dc.subjectHigh Energy Physics - Theory
dc.titleU(1) Connection, Nonlinear Dirac-like Equations and Seiberg-Witten Equations
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