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

Litim, Daniel F, Marstaler, Marianne C, Synatschke-Cerwonka, Franziska and Wipf, Andreas (2011) Critical behavior of supersymmetric O(N) models in the large-N limit. Physical Review D, 84 (12). p. 125009. ISSN 1550-7998

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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

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects: Q Science
Related URLs:
Depositing User: Daniel Litim
Date Deposited: 09 Nov 2012 09:04
Last Modified: 13 Mar 2017 23:33
URI: http://sro.sussex.ac.uk/id/eprint/15445

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