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High Temperature Phase Transitions in Two-Scalar Theories with Large $N$ Techniques

J. A. Adams·N. Tetradis
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Abstract

We consider a theory of a scalar one-component field $ϕ$ coupled to a scalar $N$-component field $χ$. Using large $N$ techiques we calculate the effective potential in the leading order in $1/N$. We show that this is equivalent to a resummation of an infinite subclass of graphs in perturbation theory, which involve fluctuations of the $χ$ field only. We study the temperature dependence of the expectation value of the $ϕ$ field and the resulting first and second order phase transitions.

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J. A. Adams, N. Tetradis. 1994-09-02. High Temperature Phase Transitions in Two-Scalar Theories with Large $N$ Techniques. https://doi.org/10.1016/0370-2693(95)00044-l

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