# Thermodynamics of SU(3) gauge theory in 2+1 dimensions

Bialas P, Daniel L, Morel A, Petersson B (2009)

NUCLEAR PHYSICS B 807(3): 547-565.

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The pressure, and the energy and entropy densities are determined for the SU(3) gauge theory in 2 + 1 dimensions from lattice Monte Carlo calculations in the interval 0.6 <= T/T-c <= 15. The finite temperature lattices simulated have temporal extent N-tau = 2, 4, 6 and 8, and spatial volumes N-S(2) such that the aspect ratio is N-S/N-tau = 8. To obtain the thermodynamical quantities, we calculate the averages of the temporal plaquettes P-tau and the spatial plaquettes PS on these lattices. We also need the zero temperature averages of the plaquettes P-0, calculated on symmetric lattices with N-tau = N-S. We discuss in detail the finite size (N-S-dependent) effects. These disappear exponentially. For the zero temperature lattices we find that the coefficient of NS in the exponent is of the order of the glueball mass. On the finite temperature lattices it lies between the two lowest screening masses. For the aspect ratio equal to eight, the systematic errors coming from the finite size effects are much smaller than our statistical errors. We argue that in the continuum limit, at high enough temperature. the pressure can he parametrized by the very simple formula p = T-3(a - bT(c)/T) where a and h are two constants. Using the thermodynamical identities for a large homogeneous system, this parametrization then determines the other thermodynamical variables in the same temperature range. (C) 2008 Elsevier B.V. All rights reserved.

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Bialas P, Daniel L, Morel A, Petersson B. Thermodynamics of SU(3) gauge theory in 2+1 dimensions.

*NUCLEAR PHYSICS B*. 2009;807(3):547-565.Bialas, P., Daniel, L., Morel, A., & Petersson, B. (2009). Thermodynamics of SU(3) gauge theory in 2+1 dimensions.

*NUCLEAR PHYSICS B*,*807*(3), 547-565. doi:10.1016/j.nuclphysb.2008.08.019Bialas, P., Daniel, L., Morel, A., and Petersson, B. (2009). Thermodynamics of SU(3) gauge theory in 2+1 dimensions.

*NUCLEAR PHYSICS B*807, 547-565.Bialas, P., et al., 2009. Thermodynamics of SU(3) gauge theory in 2+1 dimensions.

*NUCLEAR PHYSICS B*, 807(3), p 547-565. P. Bialas, et al., “Thermodynamics of SU(3) gauge theory in 2+1 dimensions”,

*NUCLEAR PHYSICS B*, vol. 807, 2009, pp. 547-565. Bialas, P., Daniel, L., Morel, A., Petersson, B.: Thermodynamics of SU(3) gauge theory in 2+1 dimensions. NUCLEAR PHYSICS B. 807, 547-565 (2009).

Bialas, P., Daniel, L., Morel, A., and Petersson, Bengt. “Thermodynamics of SU(3) gauge theory in 2+1 dimensions”.

*NUCLEAR PHYSICS B*807.3 (2009): 547-565.
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