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arXiv · hep-ph/9301271

The Large N Limit and the High Temperature Phase Transition for the ϕ^4 Theory

M. Reuter·N. Tetradis·C. Wetterich
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Abstract

We study, with various methods (standard large N evaluation of the functional integral for the effective potential, solution of the Schwinger-Dyson equations), the high temperature phase transition for the $N$-component $ϕ^4$ theory in the large $N$ limit. Our results fully confirm a previous investigation of the problem, for arbitrary $N$, with the method of the average potential which employs renormalization group ideas. The phase transition is of the second order with an effectively three-dimensional critical behaviour. }

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M. Reuter, N. Tetradis, C. Wetterich. 1993-01-26. The Large N Limit and the High Temperature Phase Transition for the ϕ^4 Theory. https://doi.org/10.1016/0550-3213(93)90314-f

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