O(N) linear sigma model beyond the Hartree approximation at finite temperature

Details O(N) linear sigma model beyond the Hartree approximation at finite temperature O(N) linear sigma model beyond the Hartree approximation at finite temperature

2003-12-02

arxiv.org/abs/hep-ph/0312031v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages. To appear in the proceedings of International Workshop on Quantum Field Theory Under the Influence of External Condit

Scientific paper

We study the O(N) linear sigma model with spontaneous symmetry breaking at finite temperature in the framework of the two-particle point-irreducible (2PPI) effective action. We go beyond the Hartree approximation by including the two-loop contribution, i.e., the sunset diagram. A phase transition of second order is found, whereas it is of first order in the one-loop Hartree approximation. Furthermore, we show the temperature-dependence of the variational mass parameters and comment on their relation to the physical sigma and pion masses.

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