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

K. Van Acoleyen·H. Verschelde
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Abstract

We probe the U(N) Gross-Neveu model with a source-term $J\barΨΨ$. 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 get a non-perturbative mass gap as the solution of $\hat{J}=0$. In one loop we find that any physical choice for d gives good results for high values of N. In two loops we can determine d self-consistently by the principle of minimal sensitivity and find remarkably accurate results for N>2.

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K. Van Acoleyen, H. Verschelde. 2001-11-22. Dynamical mass generation by source inversion: Calculating the mass gap of the Gross-Neveu model. https://doi.org/10.1103/physrevd.65.085006

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