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

G. N. J. Ananos, N. F. Svaiter

hep-tharXiv:hep-th/0102072

Abstract

We discuss the ϕ4 and ϕ6 theory defined in a flat D-dimensional space-time. We assume that the system is in equilibrium with a thermal bath at temperature β-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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