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

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

2002-02-27

arxiv.org/abs/hep-th/0202194v1

Phys.Rev. D66 (2002) 025002

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 2 figures

Scientific paper

10.1103/PhysRevD.66.025002

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