Abstract
The full one-loop supersymmetric effective potential for the Wess-Zumino model is calculated using superfield techniques. This includes the K\"ahler potential and the auxiliary field potential, of which the former was originally computed in 1993 while the latter is derived for the first time. In the purely bosonic sector our results match those of older component field calculations. In light of prior contradictory results found in the literature, the calculation of the leading term in the auxiliary field potential is approached in a variety of ways. Issues related to conditional convergence that occur during these calculations and their possible consequences are discussed.
Highlights
In light of prior contradictory results found in the literature, the calculation of the leading term in the auxiliary field potential is approached in a variety of ways
The full one-loop supersymmetric effective potential for the Wess-Zumino model is calculated using superfield techniques. This includes the Kahler potential and the auxiliary field potential, of which the former was originally computed in 1993 while the latter is derived for the first time
This paper primarily focuses on the one-loop quantum corrections to the effective potential of the WZ model, in particular, on the auxiliary field potential defined below
Summary
Where Γ[Φ, Φ ] = Γ[Φ, Φ ] − S[Φ, Φ ] and we have introduced the background chiral scalar. It is clear that the effective action depends on Φ only through the combination Ψ. The only interaction terms in the theory are the cubic vertices of (2.3b), these are not needed in the one-loop calculations of this paper
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