The lattice Schwinger model with the SW action

We perform a model study on the 2-flavor lattice Schwinger model using standard Wilson and $\mathcal{O}(a)$ improved Sheikholeslami-Wohlert (SW) action. We find, that the phase diagram is altered, the critical line shifted closer towards its continuum value ${\kappa }_c=0.25$. We find no improvement in the rotation invariance of meson propagators; the scaling of the Schwinger mass is considerably improved, high momentum states are not. The additional cost of $\approx 30$ CPU-time is highly justified when calculating masses, but not for high momentum observables.