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One-loop effective potential in nonlocal supersymmetric theories

Within the superfield approach, we consider the nonlocal generalization of the Wess-Zumino model and calculate the one-loop low-energy contributions to the effective action. Four different nonlocal models are considered, among which only the first model does not reduce to the standard Wess-Zumino mo...

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Bibliographic Details
Published in:Physical review. D 2017-01, Vol.95 (2), Article 025028
Main Authors: de Mello, E. R. Bezerra, Gama, F. S., Nascimento, J. R., Petrov, A. Yu
Format: Article
Language:English
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Summary:Within the superfield approach, we consider the nonlocal generalization of the Wess-Zumino model and calculate the one-loop low-energy contributions to the effective action. Four different nonlocal models are considered, among which only the first model does not reduce to the standard Wess-Zumino model when we take the parameter of nonlocality of the model, Λ, much greater than any energy scale; in addition, this model also depends on an extra parameter ξ. As to the other three models, the result looks like the renormalized effective potential for the usual Wess-Zumino model, where the normalization scale μ is replaced by the Λ. Moreover, the fourth model displays a divergence which can be eliminated through the appropriate wave function renormalization.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.95.025028