How much are 2d Yukawa models similar to the Gross-Neveu models?
  We present numerical evidence that the 2d Yukawa models with strong quartic selfcoupling of the scalar field have the same phase structure and are asymptotically free in the Yukawa coupling like the Gross-Neveu models. 
A.K. De, E. Focht, W. Franzki and J. Jersak