Renormalisation of the Nonperturbative Thermal Pressure

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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27 pages, plain tex, with 10 figures embedded using epsf

Scientific paper

10.1016/S0550-3213(98)00709-3

We show how the fully resummed thermal pressure is rendered ultraviolet finite by standard zero-temperature renormalisation. The analysis is developed in a 6-dimensional scalar model that mimics QED and has $N$ flavours. The $N\to\infty$ limit of the model can be calculated completely. At a critical temperature, one of the degrees of freedom has vanishing screening mass like the transverse gauge bosons in four-dimensional finite-temperature perturbation theory. The renormalised nonperturbative interaction pressure of this model is evaluated numerically.

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