Suppressing monopoles and vortices: a possibly smoother approach to scaling?

Suppressing monopoles and vortices by introducing large chemical potentials for them in the Wilson action for the SU(2) lattice gauge theory, we study the nature of the deconfinement phase transition on N3σ × Nτ lattices for Nτ = 4, 5, 6 and 8 and Nσ = 8-16. Using finite size scaling theory, we obtain ω ≡ γ/ν = 1.93 ± 0.03 for Nτ = 4, in excellent agreement with universality. Corresponding determinations for the Nτ = 5 and 6 lattices are also found to be in very good agreement with this estimate. The critical couplings for Nτ = 4, 5, 6 and 8 lattices exhibit large shifts towards the strong coupling region when compared with the usual Wilson action, and suggest a lot smoother approach to scaling