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

TL;DR

This study investigates how suppressing monopoles and vortices in SU(2) lattice gauge theory affects the deconfinement phase transition, revealing a smoother approach to scaling and consistent critical behavior across different lattice sizes.

Contribution

It introduces a modified Wilson action with large chemical potentials for monopoles and vortices, demonstrating improved scaling behavior and consistent critical exponents.

Findings

Critical exponents agree with universality class.

Critical couplings shift towards strong coupling, indicating smoother scaling.

Results are consistent across multiple lattice sizes.

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.