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Supersymmetric approximations to the 3D supersymmetric O(N) model

John F. Dawson·Bogdan Mihaila·Per Berglund·Fred Cooper
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Abstract

We develop several non-perturbative approximations for studying the dynamics of a supersymmetric O(N) model which preserve supersymmetry. We study the phase structure of the vacuum in both the leading order in large-N approximation as well as in the Hartree approximation, and derive the finite temperature renormalized effective potential. We derive the exact Schwinger-Dyson equations for the superfield Green functions and develop the machinery for going beyond the next to leading order in large-N approximation using a truncation of these equations which can also be derived from a two-particle irreducible effective action.

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John F. Dawson, Bogdan Mihaila, Per Berglund, Fred Cooper. 2005-12-01. Supersymmetric approximations to the 3D supersymmetric O(N) model. https://doi.org/10.1103/physrevd.73.016007

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