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

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

1993-01-26

arxiv.org/abs/hep-ph/9301271v1

Nucl.Phys. B401 (1993) 567-590

Physics

High Energy Physics

High Energy Physics - Phenomenology

DESY-93-004, 23 pages, 2 figures available by fax upon request

Scientific paper

10.1016/0550-3213(93)90314-F

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 $\phi^4$ 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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