Phys. Rev. D 67, 085006 (2003) [10 pages]O(N) linear sigma model at finite temperature beyond the Hartree approximationReceived 17 October 2002; revised 10 January 2003; published 17 April 2003 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 compute 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.085006
DOI:
10.1103/PhysRevD.67.085006
PACS:
11.10.Wx, 05.70.Fh, 11.30.Qc
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