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

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.

arXiv comment9 pages, 2 figures v2:a side remark on the final result and references added

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Cited by in corpus (14)

• Thermodynamics of the QCD plasma and the large-N limit
• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions II - The deconfined phase
• Casimir scaling and renormalization of Polyakov loops in large-N gauge theories
• QCD thermodynamics from lattice calculations with non-equilibrium methods: The SU(3) equation of state
• Introductory lectures to large-N QCD phenomenology and lattice results
• Jarzynski's theorem for lattice gauge theory
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Glueballs and statistical mechanics of the gluon plasma
• Excluded-volume effects for a hadron gas in Yang-Mills theory
• Nonperturbative contributions to the QCD pressure
• Improved thermodynamics of SU(2) gauge theory
• Finite Volume Effects in Thermal Field Theory
• Matrix model for deconfinement in an SU(2) gauge theory in 2+1 dimensions
• Photon gas in a finite box: thermodynamics and finite size effects