A study of the pion effective mass at finite temperature using the linear sigma model

Details A study of the pion effective mass at finite temperature using the linear sigma model A study of the pion effective mass at finite temperature using the linear sigma model

2004-06-23

arxiv.org/abs/hep-ph/0406258v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

Typos in address and references corrected. Latex2e, 5 pages, 2 .eps figures. Contribution to the proceedings of the conference

Scientific paper

10.1063/1.1843637

We have used the Cornwall--Jackiw--Tomboulis method of composite operators and its formulation at finite temperature by Amelino-Camelia and Pi, in order to calculate the effective potential of the O(4) linear sigma model beyond the Hartree approximation. We have obtained a system of gap equations for the effective mass of sigma and the pions as well as for the condensate, the order parameter of the chiral phase transition. We find that the thermal effective mass of the pions at low temperatures remains lower than in the Hartree case, nevertheless deviates from the chiral limit. Our observation is consistent with other results which have been published previously.

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