Realization of the Noncommutative Seiberg-Witten Gauge Theory by Fields   in Phase Space
  Representations of the Poincar\'{e} symmetry are studied by using a Hilbert space with a phase space content. The states are described by wave functions ( quasi amplitudes of probability) associated with Wigner functions (quasi probability density). The gauge symmetry analysis provides a realization of the Seiberg-Witten gauge theory for noncommutative fields. 
R.G.G. Amorim, F.C. Khanna, A.P.C. Malbouisson, J.M.C. Malbouisson,   A.E. Santana
hep-th quant-ph