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arXiv · hep-lat/0701020

The Stefan-Boltzmann law in a small box and the pressure deficit in hot SU(N) lattice gauge theory

F. Gliozzi
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Abstract

The blackbody radiation in a box L^3 with periodic boundary conditions in thermal equilibrium at a temperature T is affected by finite-size effects. These bring about modifications of the thermodynamic functions which can be expressed in a closed form in terms of the dimensionless parameter LT. For instance, when LT~4 - corresponding to the value where the most reliable SU(N) gauge lattice simulations have been performed above the deconfining temperature T_c - the deviation of the free energy density from its thermodynamic limit is about 5%. This may account for almost half of the pressure deficit observed in lattice simulations at T~ 4 T_c.

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F. Gliozzi. 2007-01-29. The Stefan-Boltzmann law in a small box and the pressure deficit in hot SU(N) lattice gauge theory. https://doi.org/10.1088/1751-8113%2F40%2F19%2Ff01

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