Lattice SU(3) thermodynamics and the onset of perturbative behaviour

2011/03/31 by Sz. Borsányi, Gergely Endrődi, Borsanyi, Sz. +7
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.1104.0013

openalex publication_date 2011/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 g⁶ 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.

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