TY - JOUR
T1 - Lattice SU(3) thermodynamics and the onset of perturbative behaviour
AU - Borsányi, Sz
AU - Endrodi, G.
AU - Fodor, Z.
AU - Katz, S. D.
AU - Szabó, K. K.
N1 - Funding Information:
Acknowledgments: The simulations have mainly been performed on the QPACE facility. The work was partially supported by the DFG grants SFB-TR55 and FO-502/1-2. Part of the calculation was running on the GPU cluster at the Eötvös University with the support from the European Research Council grant 208740 (FP7/2007-2013). The authors acknowledge the helpful comments from Axel Maas, Aleksi Kurkela, Marco Panero, Kari Rummukainen and York Schröder as well as the fruitful correspondence with Mike Strickland.
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
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M3 - Conference article
AN - SCOPUS:85055337495
VL - 105
JO - Proceedings of Science
JF - Proceedings of Science
SN - 1824-8039
T2 - 28th International Symposium on Lattice Field Theory, Lattice 2010
Y2 - 14 June 2010 through 19 June 2010
ER -