We consider the (massive) Gross–Neveu model using the light-cone quantization where we solve the constraints explicitly. We show that the vacuum is trivial and that the quantization fails when m = 0. We show that the running coupling constant emerges as a pure normal ordering effect and we discuss the bound state equation.
Application of Pauli--Villars Regularization and Discretized Light-Cone Quantization to a Single-Fermion Truncation of Yukawa Theory