Non-perturbative thermodynamics of SU (N) gauge theories

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Abstract

The pressure near the deconfinement transition as determined up to now in lattice gauge theories shows unphysical behaviour: it can become negative and may in SU (3) even have a gap at the transition. This has been attributed to the use of only perturbatively known derivatives of coupling constants. We propose a method to evaluate the pressure, which works without these derivatives, and is valid on large lattices. In SU (2) we study the finite-volume effects and show that for lattices with spatial extent Nσ{greater-than or approximate}15 these effects are negligible. In SU (3) we then obtain a positive and continuous pressure. The influence of non-perturbative corrections to the β-function on the energy density are investigated and found to be important, in particular for the latent heat. © 1990.

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Engels, J., Fingberg, J., Karsch, F., Miller, D., & Weber, M. (1990). Non-perturbative thermodynamics of SU (N) gauge theories. Physics Letters B, 252(4), 625–630. https://doi.org/10.1016/0370-2693(90)90496-S

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