Supersymmetric U(1) Gauge Field Theory With Massive Gauge Field

According to the conventional notion, if a system has strict gauge symmetry, the mass of gauge field in the lagrangian must be zero [1 ]. With the development of the gauge theory, this notion has already been changed. In the gauge theory developed by Wu [2 ], under the precondition that the system has strict gauge symmetry, the theory contains massive gauge bosons. In fact, this result holds not only in the usual quantum field theory, but also in the supersymmetric quantum field theory. In other words, we could construct a supersymmetric gauge field model with massive gauge bosons. Supersymmetric gauge field models have been extensively discussed in the literature [3-5 ]. Similar to the conventional gauge model, in all these supersymmetric gauge models, the masses of gauge fields is zero. In this paper, we will construct a gauge field model which has strict U(1) gauge symmetry, supersymmetry and one massive gauge field.