# SU(3) Latent Heat and Surface Tension from Tree Level and Tadpole Improved Actions

## TL;DR

This study investigates the SU(3) deconfinement phase transition's latent heat and surface tension using improved lattice actions, demonstrating reduced cut-off effects and consistent results across different lattice spacings.

## Contribution

It compares tree level and tadpole improved Symanzik actions, showing that tadpole improvement effectively minimizes cut-off effects even on coarse lattices.

## Key findings

- Tadpole improved actions show minimal cut-off effects.
- Results for surface tension and latent heat are consistent between actions at finer lattices.
- Quantitative values for surface tension and latent heat are provided.

## Abstract

We analyze the latent heat and surface tension at the SU(3) deconfinement phase transition with tree level and tadpole improved Symanzik actions on lattices with temporal extent $N_\tau = 3$ and 4 and spatial extent $N_\sigma/ N_\tau = 4$, 6 and 8. In comparison to the standard Wilson action we do find a drastic reduction of cut-off effects already with tree level improved actions. On lattices with temporal extent $N_\tau=4$ results for the surface tension and latent heat obtained with a tree level improved action agree well with those obtained with a tadpole improved action. A comparison with $N_\tau=3$ calculations, however, shows that results obtained with tadpole action remain unaffected by cut-off effects even on this coarse lattice, while the tree level action becomes sensitive to the cut-off. For the surface tension and latent heat we find $\sigma_I/ T_c^3 = 0.0155~(16)$ and $\Delta\epsilon/T_c^4 = 1.40~(9)$, respectively.