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

Abstract

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

Comments: 7 pages,4 figures, minor changes, reference added for published version