# More On The SU(2) Deconfinement Transition In The Mixed Action

## TL;DR

This study investigates the SU(2) deconfinement transition's universality in lattice gauge theory using simulations and expansions, focusing on the tricritical point's behavior across different lattice sizes.

## Contribution

It provides new insights into how the tricritical point shifts with lattice spacing in SU(2) gauge theory with mixed action, highlighting the need for large lattices to observe Ising universality.

## Key findings

- The tricritical point moves downward towards the Wilson axis as lattice spacing decreases.
- Large N_tau lattices are necessary to observe Ising critical exponents in the mixed action.
- The transition's nature changes from second to first order near the tricritical point.

## Abstract

We examine certain issues related to the universality of the SU(2) lattice gauge theory at non-zero temperatures. Using Monte Carlo simulations and strong coupling expansions, we study the behavior of the deconfinement transition in an extended coupling plane (beta, beta_A) around the tricritical point where the deconfinement transition changes from second to first order. Our numerical results on N_tau =2,4,6,8 lattices show that the tricritical point first moves down towards the Wilson axis and and then moves slowly upwards, if at all, as the lattice spacing is reduced. Lattices with very large N_tau seem to be therefore necessary for the mixed action to exhibit the critical exponents of the three dimensional Ising model for positive values of the adjoint coupling.