The Effective Potential for Composite Operator in the Scalar Model at Finite Temperature

Details The Effective Potential for Composite Operator in the Scalar Model at Finite Temperature The Effective Potential for Composite Operator in the Scalar Model at Finite Temperature

2001-02-13

arxiv.org/abs/hep-th/0102072v1

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 14 pages with 1 figure

Scientific paper

We discuss the $\phi^4$ and $\phi^6$ theory defined in a flat $D$-dimensional space-time. We assume that the system is in equilibrium with a thermal bath at temperature $\beta^{-1}$. To obtain non-perturbative result, the $ 1/N $ expansion is used. The method of the composite operator (CJT) for summing a large set of Feynman graphs, is developed for the finite temperature system. The ressumed effective potential and the analysis of the D=3 and D=4 cases are given.

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