The Composite Operator (CJT) Formalism in the $(λφ^4+ηφ^{6})_{D=3}$ Model at Finite Temperature

Details The Composite Operator (CJT) Formalism in the $(λφ^4+ηφ^{6})_{D=3}$ Model at Finite Temperature The Composite Operator (CJT) Formalism in the $(λφ^4+ηφ^{6})_{D=3}$ Model at Finite Temperature

1999-11-19

arxiv.org/abs/hep-th/9911159v1

Mod.Phys.Lett. A15 (2000) 2235-2244

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 eps figures, uses epsf.sty

Scientific paper

10.1142/S0217732300002826

We discuss three-dimensional $ \lambda\phi^4+\eta\phi^6 $ theory in the context of the 1/N expansion at finite temperature. We use the method of the composite operator (CJT) for summing a large sets of Feynman graphs. We analyse the behavior of the thermal square mass and the thermal coupling constant in the low and high temperature limit. The existent of the tricritical point at some temperature is found using this non-pertubative method.

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