Abstract
An approximate analytic solution of the Schwinger-Dyson equation for the fermion propagator in quenched, planar gauged NJL models is derived. It is exact in the infrared and ultraviolet regions and is valid for all possible values of the parameters (coupling constants, cutoff momentum, bare mass of the fermion). The solution expresses the propagator and momentum in terms of a new variable, the logarithmic derivative of Σ( p) in log p. The corresponding analytic expressions for the gap equation, dynamically generated fermion mass scale, and fermion condensate are presented. We also briefly discuss how to use our solution for calculating other physical quantities, such as the mass of the scalar bound state, Yukawa coupling constants, etc.
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