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arXiv · 1611.09676

On the one-loop effective potential in nonlocal supersymmetric theories

E. R. Bezerra de Mello·F. S. Gama·J. R. Nascimento·A. Yu. Petrov
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Abstract

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, $\Lambda$, much greater than any energy scale; in addition, this model also depends on an extra parameter, $\xi$. As to the other three models, the result looks like the renormalized effective potential for the usual Wess-Zumino model, where the normalization scale $\mu$ is replaced by the $\Lambda$. Moreover, the fourth model displays a divergence which can be eliminated through the appropriate wave function renormalization.

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E. R. Bezerra de Mello, F. S. Gama, J. R. Nascimento, A. Yu. Petrov. 2016-11-29. On the one-loop effective potential in nonlocal supersymmetric theories. https://doi.org/10.1103/physrevd.95.025028

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