Dynamical mass generation by source inversion: calculating the mass gap of the chiral Gross-Neveu model

Abstract

We probe the U(N) chiral Gross-Neveu model with a source-term $JłΨΨ$. We find an expression for the renormalization scheme and scale invariant source $\hat{J}$, as a function of the generated mass gap. The expansion of this function is organized in such a way that all scheme and scale dependence is reduced to one single parameter $d$. We obtain a non-perturbative mass gap as the solution of $\hat{J}=0$. A physical choice for $d$ gives good results for $N>2$. The self-consistent minimal sensitivity condition gives a slight improvement.