Ward identity and dynamical mass generation in Abelian gauge theory

We develop Ward-Takahashi identities to include composite fields and utilize them to study gauge symmetry dynamical breaking in Abelian theory. In terms of the equivalence between elementary field description and the composite field description, we obtain a matching condition. The mechanism of mass generation and the mass spectra are investigated in Cornwall-Norton, Jackiw-Johnson, and Schwinger models. The gauge boson masses are in agreement with previous works; meanwhile the composite Higgs boson and decay constant F_π, which have not been obtained in previous works and other methods, can be easily obtained. It turns out that this approach can be easily applied to study not only the mass generation of fermion and gauge bosons, but also that of composite fields.