Abstract
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 mA and the Higgs boson mass mh. It is found that, in the region of large ratio r = mh/mA, mA and mh reduces the critical fermion number Nc, below which the massless fermion acquires a dynamical mass.
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