Geometric effects in lattice QCD thermodynamics

TL;DR

This paper investigates how lattice geometry affects thermodynamic measurements in quenched QCD, including modifications to the Stefan-Boltzmann law, and compares results across different SU(N) gauge theories up to N=6.

Contribution

It analyzes systematic effects of lattice geometry on QCD thermodynamics and extends the study to SU(N) theories, providing preliminary results for N=4, 5, 6.

Findings

Lattice geometry influences thermodynamic observables.

Results for SU(4), SU(5), SU(6) are similar to SU(3).

Infrared effects are manageable up to 3T_c.

Abstract

I present a study of the equation of state in quenched QCD, discussing some systematic effects related to the lattice geometry. In particular, I comment on the modification of the Stefan-Boltzmann law for a gas of free gluons in a finite system, and study the impact it might have on numerical results at high temperatures, for the typical parameters of current lattice simulations. Finally, I apply the results of this study to the analysis of data obtained from simulations of SU(N) gauge theories with N>3 colors, in a temperature range up to 3T_c, where infrared effects appear to be under control. Preliminary results for various thermodynamic observables for SU(4), SU(5) and SU(6) gauge theories are found to be close to each other and to those for SU(3), in agreement with other similar studies. This may be relevant for the theoretical description of the QCD plasma.