Deconfining transition of SU(3) gauge theory on Nt=4 and 6 lattices.

Abstract

We report the results of a Monte Carlo study of finite-temperature pure SU(3) gauge theory performed on the parallel computer QCDPAX. The deconfining transition is studied on ${12}^{2}$\ifmmode\times\else\texttimes\fi{}24\ifmmode\times\else\texttimes\fi{}4, ${24}^{2}$\ifmmode\times\else\texttimes\fi{}36\ifmmode\times\else\texttimes\fi{}4, ${24}^{3}$\ifmmode\times\else\texttimes\fi{}6, and ${36}^{2}$\ifmmode\times\else\texttimes\fi{}48\ifmmode\times\else\texttimes\fi{}6 lattices with 480 000--1 112 000 iterations. A clear two-phase structure is observed on spatially large (${24}^{2}$\ifmmode\times\else\texttimes\fi{}36\ifmmode\times\else\texttimes\fi{}4 and ${36}^{2}$\ifmmode\times\else\texttimes\fi{}48\ifmmode\times\else\texttimes\fi{}6) lattices and the gaps of physical quantities at the transition are calculated on these lattices. The latent heat thus obtained on the ${\mathit{N}}_{\mathit{t}}$=6 (${36}^{2}$\ifmmode\times\else\texttimes\fi{}48\ifmmode\times\else\texttimes\fi{}6) lattice is much smaller than the one previously obtained.