Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-03-31
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages, Contribution to the The XXVIII International Symposium on Lattice Field Theory; June 14 - 19, 2010, Villasimius, Sard
Scientific paper
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 ($0.7... 1000 T_c$) 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 $T_c/\Lambdamsbar=1.26(7)$ and use this ratio to express the perturbative free energy in $T_c$ units. We also determine the preferred renormalization scale of the Hard Thermal Loop scheme and we fit the unknown $g^6$ order perturbative coefficient at extreme high temperatures $T>100T_c$. We furthermore quantify the nonperturbative contribution to the trace anomaly using two simple functional forms.
Borsanyi Sz.
Endrodi Gergely
Fodor Zoltan
Katz Sandor D.
Szabo Kalman K.
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