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arXiv · 1302.6059

Analytic form of the effective potential in the large N limit of a real scalar theory in four dimensions

Hidenori Sonoda
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Abstract

We give the large N limit of the effective potential for the O(N) linear sigma model in four dimensions in terms of the Lambert W function. The effective potential is fully consistent with the renormalization group, and it admits an asymptotic expansion in powers of a small positive coupling parameter. Careful consideration of the UV cutoff present in the model validates the physics of the large N limit.

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Hidenori Sonoda. 2013-02-25. Analytic form of the effective potential in the large N limit of a real scalar theory in four dimensions. https://arxiv.org/abs/1302.6059

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