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arXiv · 1107.3011

Critical behavior of supersymmetric O(N) models in the large-N limit

Daniel F. Litim·Marianne C. Mastaler·Franziska Synatschke-Czerwonka·Andreas Wipf
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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.

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Daniel F. Litim, Marianne C. Mastaler, Franziska Synatschke-Czerwonka, Andreas Wipf. 2011-07-15. Critical behavior of supersymmetric O(N) models in the large-N limit. https://doi.org/10.1103/physrevd.84.125009

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