# SU(3) Thermodynamics on Small Lattices

## TL;DR

This paper investigates SU(3) gauge theory thermodynamics on small lattices, demonstrating that fixed point actions significantly reduce cut-off effects and yield results close to the continuum limit even on coarse lattices.

## Contribution

It introduces the use of parametrized fixed point actions for SU(3) thermodynamics on small lattices, showing improved accuracy over traditional actions.

## Key findings

- Fixed point actions greatly suppress cut-off effects.
- Good agreement with continuum limit achieved at N_t=3.
- Results suggest efficient thermodynamic calculations on coarse lattices.

## Abstract

The free energy density of the SU(3) gauge theory at temperatures T/T_c = 4/3, 3/2 and 2 is calculated on lattices with temporal extent as small as N_t = 2, 3 and spatial extent N_s = 4 N_t using parametrized fixed point actions. Although cut-off effects are seen, they are hugely suppressed with respect to Wilson and Symanzik-improved actions and at N_t = 3 there is already a good agreement with the continuum limit as extrapolated from the results with the Wilson action at N_t = 6 and 8.