E Mahdavi (1984) On supersymmetric four-fermion interactions J. Phys. G: Nucl. Phys. 10: 1163-1172 September Abstract: Abstract. Supersymmetric generalisation of the four-fermion interactions in one spatial and one time dimension is studied. In order to supersymmetrise four-fermion interaction models such as the Gross-Neveu or Thirring models it turns out that one needs to introduce a supercurrent which contains the covariant derivative of the superfield in its structure. The Lagrangian constructed from this supercurrent therefore also has derivative couplings in the interaction. It is shown that the supersymmetric Gross-Neveu model up to one loop is finite and that the ultraviolet overlapping divergences of two loops cancel each other.
Notes: Supersymmetry, superfield, supergraph, Gross-Neveu model,four-fermion interactions and supercurrent.
