Supersymmetric tensor model at large N and small ε

We study the O(N)3 supersymmetric quantum field theory of a scalar superfield Φabc with a tetrahedral interaction. In the large N limit, the theory is dominated by the melonic diagrams. We solve the corresponding Dyson-Schwinger equations in continuous dimensions below 3. For sufficiently large N, w...

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Bibliographic Details
Published in:Physical review. D 2020-01, Vol.101 (2), p.1, Article 026020
Main Author: Popov, Fedor K.
Format: Article
Language:English
Subjects:
Field theory
Mathematical models
Perturbation theory
Quantum field theory
Quantum theory
Supersymmetry
Tensors
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Summary:We study the O(N)3 supersymmetric quantum field theory of a scalar superfield Φabc with a tetrahedral interaction. In the large N limit, the theory is dominated by the melonic diagrams. We solve the corresponding Dyson-Schwinger equations in continuous dimensions below 3. For sufficiently large N, we find an IR stable fixed point and computed the 3−ε expansion up to the second order of perturbation theory, which is in agreement with the solution of DS equations. We also describe the 1+ε expansion of the model and discuss the possibility of adding the Chern-Simons action to gauge the supersymmetric model.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.101.026020