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One-loop effective potential in nonlocal supersymmetric theories

2016/11/29 by E. R. Bezerra de Mello, F. S. Gama, J. R. Nascimento +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Divergence (linguistics) #Effective action #Generalization #Lambda #Mathematical analysis #Mathematical physics #Mathematics #Normalization (sociology) #Particle physics theoretical and experimental studies #Philosophy #Physics #Quantum #Quantum mechanics #Quantum nonlocality #Renormalization #Supersymmetry #Theoretical physics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.95.025028

published as Phys. Rev. D 95, 025028 (2017) · 13 pages

arxiv created 2016/11/29 · openalex publication_date 2017/01/30 · arxiv updated 2017/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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

Citations