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

Published on Jan 26, 1993in arXiv: High Energy Physics - Phenomenology
· DOI :10.1016/0550-3213(93)90314-F
M. Reuter2
Estimated H-index: 2
,
Nikolaos Tetradis37
Estimated H-index: 37
,
Christof Wetterich80
Estimated H-index: 80
Sources
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 Ncomponent \phi^4theory in the large Nlimit. 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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