Scaling of the quark-antiquark potential and improved actions in $SU(2)$ lattice gauge theory

The scaling behaviour of the quark-antiquark potential is investigated by ahigh statistics Monte Carlo calculation in SU(2) lattice gauge theory. Besides the standard one-plaquette action we also use Symanziks tree-level improved action and Wilsons block-spin improved action. No significant differences between Symanziks action and the standard action have been observed. For small β Wilsons action scales differently. The string tension value κ extracted from the data corresponds to Λ latt = (0.018 ± 0.001) √ κ for the one-plaquette action