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The Stefan–Boltzmann law in a small box and the pressure deficit in hotSU(N) lattice gauge theory

2007/01/29 by F. Gliozzi · 2 citations
Materials Science · Physics and Astronomy · #High-Energy Particle Collisions Research #Material Dynamics and Properties #Quantum, superfluid, helium dynamics #astro-ph #cond-mat.stat-mech #hep-lat #hep-ph #hep-th

paper · pdf · doi:10.1088/1751-8113/40/19/f01

published as J.Phys.A40:F375-4922,2007 · 9 pages, 2 figures v2:a side remark on the final result and references added

arxiv created 2007/01/29 · openalex publication_date 2007/04/24 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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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