We present the equation of state (pressure, trace anomaly, energy density and entropy density) of the SU(3) gauge theory from lattice field theory in an unprecedented precision and temperature range. We control both finite size and cut-off effects. The studied temperature window (0.7 ... 1000Tc) stretches from the glueball dominated system into the perturbative regime, which allows us to discuss the range of validity of these approaches. From the critical couplings on fine lattices we get Tc/ΛMS = 1.26(7) and use this ratio to express the perturbative free energy in Tc units. We also determine the preferred renormalization scale of the Hard Thermal Loop scheme and we fit the unknown g6 order perturbative coefficient at extreme high temperatures T > 100Tc. We furthermore quantify the nonperturbative contribution to the trace anomaly using two simple functional forms.
|Original language||English (US)|
|Journal||Proceedings of Science|
|State||Published - 2010|
|Event||28th International Symposium on Lattice Field Theory, Lattice 2010 - Villasimius, Sardinia, Italy|
Duration: Jun 14 2010 → Jun 19 2010
All Science Journal Classification (ASJC) codes