Resumming the pressure
Abstract
The convergence properties of the resummed thermal perturbation series for the thermodynamic pressure are investigated by comparison with the exact results obtained in large-N phi4 theory and possibilities for improvements are discussed. By going beyond conventional resummed perturbation theory, renormalization has to be carried out nonperturbatively yet consistently. This is exemplified in large-N phi44 and in a special large-N φ36 model that mimics QED in the limit of large flavour number.
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