K. Shen et Yp. Kuang, WARD IDENTITY AND DYNAMICAL MASS GENERATION IN ABELIAN GAUGE-THEORY, Physical review. D. Particles and fields, 57(10), 1998, pp. 6386-6397
We develop Ward-Takahashi identities to include composite fields and u
tilize them to study gauge symmetry dynamical breaking in Abelian theo
ry. In terms of the equivalence between elementary field description a
nd the composite held 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 boso
n masses are in agreement with previous works; meanwhile the composite
Higgs boson and decay constant F-pi, 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 g
eneration of fermion and gauge bosons, but also that of composite fiel
ds.