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

Abstract

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 N_\sigma^3 \times N_\tau lattices for N_\tau = 4, 5, 6 and 8 and N_\sigma = 8--16. Using finite size scaling theory, we obtain \omega = 1.93 \pm 0.03 for N_\tau = 4, in excellent agreement with universality. Corresponding determinations for the N_\tau = 5 and 6 lattices are also found to be in very good agreement with this estimate. The critical couplings for N_\tau= 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.