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By investigating the SU(3) gauge theory thermodynamics on lattices of various sizes we can control finite lattice cutoff effects. We calculate the pressure and energy density on lattices with temporal extent N_τ=4, 6, and 8 and spatial extent N_σ=16 and 32, and extrapolate to the continuum limit. We find a deviation from ideal gas behavior of (15-20)%, even at temperatures as high as T~3Tc. A calculation of the critical temperature for N_τ=8 and 12 and the string tension for N_τ=32 is performed to fix the temperature scale, yielding Tc√σ=0.629(3) in the continuum limit.
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Boyd et al. (1995) studied this question.
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