A smoother approach to scaling by suppressing monopoles and vortices

TL;DR

This paper introduces a method to suppress monopoles and vortices in SU(2) lattice gauge theory, resulting in a smoother scaling behavior and more accurate determination of the deconfinement phase transition.

Contribution

It proposes a modified Wilson action with chemical potentials to suppress monopoles and vortices, improving the approach to scaling in lattice gauge theory.

Findings

Critical exponents align with universality class.

Large shifts in critical couplings towards strong coupling.

Smoother approach to continuum scaling observed.

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 X 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 +/- 0.03 for N_tau = 4, in excellent agreement with universality. 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.