Gap equation in scalar field theory at finite temperature

Details Gap equation in scalar field theory at finite temperature Gap equation in scalar field theory at finite temperature

1997-05-23

arxiv.org/abs/hep-th/9705177v2

Mod.Phys.Lett. A14 (1999) 257-266

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex with axodraw, Minor corrections, Appendix added

Scientific paper

10.1142/S0217732399000304

We investigate the two-loop gap equation for the thermal mass of hot massless $g^2\phi^4$ theory and find that the gap equation itself has a non-zero finite imaginary part. This indicates that it is not possible to find the real thermal mass as a solution of the gap equation beyond $g^2$ order in perturbation theory. We have solved the gap equation and obtain the real and the imaginary part of the thermal mass which are correct up to $g^4$ order in perturbation theory.

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