Elsevier

Nuclear Physics A

Volume 784, Issues 1–4, 1 March 2007, Pages 376-406
Nuclear Physics A

Perturbation theory and non-perturbative renormalization flow in scalar field theory at finite temperature

https://doi.org/10.1016/j.nuclphysa.2006.11.139Get rights and content

Abstract

We use the non-perturbative renormalization group to clarify some features of perturbation theory in thermal field theory. For the specific case of the scalar field theory with O(N) symmetry, we solve the flow equations within the local potential approximation. This approximation reproduces the perturbative results for the screening mass and the pressure up to order g3, and starts to differ at order g4. The method allows a smooth extrapolation to the regime where the coupling is not small, very similar to that obtained from a simple self-consistent approximation.

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