Mateusz Cierniak (IFT)

The Munczek-Nemirovsky model in different metrics.

The Munczek-Nemirovsky (MN) model is defined by a set of truncations which simplify the Dyson-Schwinger equation (DSE) of a quark propagator to a form that can be solved analytically. In general the DSE is a self-similar equation that is usually solved by numerical iteration. Unlike the analytical approach, the iterative method produces fractal patterns and naturally drives the MN model's quark mass gap into a low mass state in analogy (but still with qualitative difference) to asymptotic freedom. My initial calculations were done with respect to the Euclidean QCD generating functional and in this talk I compare them to the solutions obtained in the Minkowski metric.