  The Seiberg-Witten formalism has been realized as an electrodynamics in phase
space (associated to the Dirac equation written in phase space) and this fact
is explored here with non-abelian gauge group. First, a physically heuristic
presentation of the Seiberg-Witten approach is carried out for non-abelian
gauge in order to guide the calculation procedures. These results are realized
by starting with the Lagrangian density for the free Dirac field in phase
space. Then a field strength is derived, where the non-abelian gauge group is
the SU(2), corresponding to an isospin (non-abelian) field theory in phase
space. An application to nucleon is then discussed.

High Energy Physics - Theory