Chiral symmetry breaking in three-dimensional QED with Abelian Higgs model

We study the dynamical chiral symmetry breaking in (2+1)-dimensional QED in the presence of an Abelian Higgs model (Ginzburg-Landau model) at the leading order of 1/N. In the gauge symmetry broken phase, the gauge boson becomes massive via the Anderson-Higgs mechanism. The Dyson-Schwinger equation for fermion self-energy depends on two parameters: the gauge boson mass m(A) and the Higgs boson mass m(h). It is found that, in the region of large ratio r = m(h)/m(A), m(A) and m(h) reduces the critical fermion number N(c), below which the massless fermion acquires a dynamical mass.