Multicritical points of the O(N) scalar theory in $2<d<4$ for large N
Statistical Mechanics
2018-03-21 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1801.07659,
title = {Multicritical points of the O(N) scalar theory in $2<d<4$ for large N},
author = {A. Katsis and N. Tetradis},
journal= {arXiv preprint arXiv:1801.07659},
year = {2018}
}
Comments
10 pages, 3 figures, minor corrections