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In a scalar $\phi^2\chi$ model, we exactly solve the vertex and $\phi$propagator Dyson-Schwinger equations under the assumption of a spatiallyconstant (Munczek-Nemirovsky) propagator for the $\chi$ field. Varioustruncation schemes are also considered.Comment: 7 pages,4 figures, minor changes, reference added for published  versio

Solution of coupled vertex and propagator Dyson-Schwinger equations in the scalar Munczek-Nemirovsky model