Erb. Demello et Rf. Ribeiro, THE EFFECTIVE ACTION FOR THE THIRRING GROSS-NEVEU MODEL IN (2+1) DIMENSIONS, Modern physics letters A, 9(13), 1994, pp. 1183-1188
We obtain in the leading order of 1/N expansion, the fermion-fermion e
ffective potential for the three-dimensional model of (N) massless Dir
ac spinors with a general current and scalar quadrilinear self-interac
tion. Analyzing the Schrodinger equation in the presence of the nonrel
ativistic limit of this potential, we show that this system presents a
fermion-fermion bound state.