2000/01/22 by L. Z. Hu, L. Y. Hu
Physics and Astronomy · #hep-th
published as Int.J.Theor.Phys. 37 (1998) 2115-2125 · 10 pages
arxiv created 2000/01/22 · arxiv updated 2009/11/30
By analysing the work of Campolattaro we argue that the second Seiberg-Witten equation over the Spinc4 manifold, i.e., F+ij=< M,Sij M >, is the generalization of the Campolattaro's description of the electromagnetic field tensor Fμν in the bilinear form Fμν=Ψ SμνΨ. 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 Spinc4 manifold.