The connection between lattice gauge theories with Manton and Wilson actions

The SU(2) lattice gauge theory (LGT) with Manton's action is represented as the LGT with Wilson's action and effective coupling constant. A nonperturbative calculation of the ratio of Γ_L-parameters in the crossover region is performed and it is found that Γ^M_L/Γ^W_L ~ 3.7. The β-dependence of the plaquette energy reproduces the Monte Carlo data for the LGT with Manton's action if the Monte Carlo data for the LGT with Wilson's action is known.