  We are interested in the cubic Dirac equation with mass $m \in [0, 1]$ in two
space dimensions, which is also known as the Soler model. We conduct a thorough
study on this model with initial data sufficiently small in high regularity
Sobolev spaces. First, we show the global existence of the model, which is
uniform-in-mass. In addition, we derive a unified pointwise decay result valid
for all $m \in [0, 1]$. Last but not least, we prove the cubic Dirac equations
scatter linearly with an explicit scattering speed. When the mass $m=0$, we can
show an improved pointwise decay result.
