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

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

2001-11-20

arxiv.org/abs/hep-th/0111171v2

Phys.Rev. D65 (2002) 085006

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 3 figures, added reference

Scientific paper

10.1103/PhysRevD.65.085006

We probe the U(N) Gross-Neveu model with a source-term $J\bar{\Psi}\Psi$. 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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