Linear delta expansion applied to the O'Raifeartaigh model

TL;DR

This paper evaluates the linear delta expansion method for calculating effective potentials in supersymmetric models, specifically applying it to the O'Raifeartaigh model with improved super-Feynman rules, and compares convergence criteria.

Contribution

It introduces an improved approach to the linear delta expansion in superspace and assesses its effectiveness in deriving the Coleman-Weinberg potential for the O'Raifeartaigh model.

Findings

The method successfully reproduces the Coleman-Weinberg potential.

Both convergence criteria are effective in optimizing calculations.

The approach enhances the reliability of effective potential computations in supersymmetric theories.

Abstract

We reassess the method of the linear delta expansion for the calculation of effective potentials in superspace, by adopting the improved version of the super-Feynman rules in the framework of the O'Raifeartaigh model for spontaneous supersymmetry breaking. The effective potential is calculated using both the fastest apparent convergence and the principle of minimal sensitivity criteria and the consistency and efficacy of the method are checked in deriving the Coleman-Weinberg potential.