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arXiv · 1801.07659

Multicritical points of the O(N) scalar theory in $2<d<4$ for large N

A. Katsis·N. Tetradis
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Abstract

We solve analytically the renormalization-group equation for the potential of the O(N)-symmetric scalar theory in the large-N limit and in dimensions 2<d<4, in order to look for nonperturbative fixed points that were found numerically in a recent study. We find new real solutions with singularities in the higher derivatives of the potential at its minimum, and complex solutions with branch cuts along the negative real axis.

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BibTeXRIS

A. Katsis, N. Tetradis. 2018-01-23. Multicritical points of the O(N) scalar theory in $2<d<4$ for large N. https://doi.org/10.1016/j.physletb.2018.03.038

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