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arXiv · hep-th/0202194

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

K. Van Acoleyen·J. A. Gracey·H. Verschelde
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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.

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K. Van Acoleyen, J. A. Gracey, H. Verschelde. 2002-02-27. Dynamical mass generation by source inversion: calculating the mass gap of the chiral Gross-Neveu model. https://doi.org/10.1103/physrevd.66.025002

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