Critical behavior of supersymmetric O(N) models in the large-N limit
Abstract
We derive a supersymmetric renormalization group (RG) equation for the scale-dependent superpotential of the supersymmetric O(N) model in three dimensions. For a supersymmetric optimized regulator function we solve the RG equation for the superpotential exactly in the large-N limit. The fixed-point solutions are classified by an exactly marginal coupling. In the weakly coupled regime there exists a unique fixed point solution, for intermediate couplings we find two separate fixed point solutions and in the strong coupling regime no globally defined fixed-point potentials exist. We determine the exact critical exponents both for the superpotential and the associated scalar potential. Finally we relate the high-temperature limit of the four-dimensional theory to the Wilson-Fisher fixed point of the purely scalar theory.
Keywords
Cite
@article{arxiv.1107.3011,
title = {Critical behavior of supersymmetric O(N) models in the large-N limit},
author = {Daniel F. Litim and Marianne C. Mastaler and Franziska Synatschke-Czerwonka and Andreas Wipf},
journal= {arXiv preprint arXiv:1107.3011},
year = {2013}
}
Comments
13 pages,4 figures