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

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

2002-10-03

arxiv.org/abs/hep-ph/0210060v3

Phys.Rev. D67 (2003) 085006

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 14 figures. v2: minor corrections, some more references. v3: added new set of data, new appendix. Submitted to Phys.

Scientific paper

10.1103/PhysRevD.67.085006

We study the O(N) linear sigma model with spontaneous symmetry breaking, using a Hartree-like ansatz with a classical field and variational masses. We go beyond the Hartree approximation by including the two-loop contribution, the sunset diagram, using the 2PPI expansion. We have computed numerically the effective potential at finite temperature. We find a phase transition of second order, while it is first order in the Hartree approximation. We also discuss some implications of the fact that in this order, the decay of the sigma into two pions affects the thermal diagrams.

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