Title: Solution of coupled vertex and propagator Dyson-Schwinger equations in the scalar Munczek-Nemirovsky model
Abstract: In a scalar ${\ensuremath{\varphi}}^{2}\ensuremath{\chi}$ model, we exactly solve the vertex and $\ensuremath{\varphi}$ propagator Dyson-Schwinger equations under the assumption of a spatially constant (Munczek-Nemirovsky) propagator for the $\ensuremath{\chi}$ field. Various truncation schemes are also considered.