On the one-loop effective potential in nonlocal supersymmetric theories

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.

13 pages

References in corpus (2)

• Tackling Higher Derivative Ghosts with the Euclidean Path Integral
• Nonlocal N=1 Supersymmetry

Cited by in corpus (4)

• One-loop effective potential in the non-local supersymmetric gauge theory
• On supersymmetric gauge theories with higher derivatives and nonlocal terms in the matter sector
• Two-loop effective potential for general higher-derivative superfield models
• A novel nonlocal spin-1/2 theory: classical and quantum aspects