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.

arXiv comment13 pages

References in corpus (11)

• Asymptotic expansion of Feynman integrals near threshold
• Towards singularity and ghost free theories of gravity
• Super-renormalizable Quantum Gravity
• Bouncing Universes in String-inspired Gravity
• Effective Kähler Potentials
• Tackling Higher Derivative Ghosts with the Euclidean Path Integral
• One-loop effective potential in nonlocal scalar field models
• Nonlocal N=1 Supersymmetry
• On the one-loop effective potential in the higher-derivative four-dimensional chiral superfield theory with a nonconventional kinetic term
• On the decoupling of heavy states in higher-derivative supersymmetric field theories
• Superfield effective potential

Cited by in corpus (8)

• The all-loop perturbative derivation of the NSVZ $\beta$-function and the NSVZ scheme in the non-Abelian case by summing singular contributions
• On supersymmetric gauge theories with higher derivatives and nonlocal terms in the matter sector
• One-loop effective potential in the non-local supersymmetric gauge theory
• Podolsky electrodynamics from a condensation of topological defects
• Finiteness of the two-loop matter contribution to the triple gauge-ghost vertices in $\mathcal{N}=1$ supersymmetric gauge theories regularized by higher derivatives
• Exact $\beta$-functions for $\mathcal{N}=1$ supersymmetric theories finite in the lowest loops
• Two-loop effective potential for general higher-derivative superfield models
• A novel nonlocal spin-1/2 theory: classical and quantum aspects