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arXiv · hep-lat/9506025

Equation of State for the SU(3) Gauge Theory

G. Boyd·J. Engels·F. Karsch·E. Laermann·C. Legeland·M. Lütgemeier·B. Petersson
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Abstract

Through a detailed investigation of the $SU(3)$ gauge theory at finite temperature on lattices of various size we can control finite lattice cut-off effects in bulk thermodynamic quantities. We calculate the pressure and energy density of the $SU(3)$ gauge theory on lattices with temporal extent $N_τ= 4$, 6 and 8 and spatial extent $N_σ=16$ and 32. The results are extrapolated to the continuum limit. We find a deviation from ideal gas behaviour of (15-20)\%, depending on the quantity, even at temperatures as high as $T\sim 3T_c$. A calculation of the critical temperature on lattices with temporal extent $N_τ= 8$ and 12 and the string tension on $32^4$ lattices at the corresponding critical couplings is performed to fix the temperature scale. An extrapolation to the continuum limit yields $T_c/\sqrtσ = 0.629(3)$.

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G. Boyd, J. Engels, F. Karsch, E. Laermann, C. Legeland, M. Lütgemeier, B. Petersson. 1995-06-21. Equation of State for the SU(3) Gauge Theory. https://doi.org/10.1103/physrevlett.75.4169

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