Operator regularization with superfields

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Abstract
We develop a formalism for computing one-particle-irreducible Green’s functions in theories with superfields. To lowest order, this reduces to a perturbative expansion of the ζ function. All symmetries of the original theory are preserved as the initial Lagrangian is not altered for the purpose of introducing a regulating parameter. Moreover, no divergent integrals are encountered. We illustrate the formalism by reference to the Wess-Zumino model with one pair of chiral and antichiral superfields. As an example, we show that the result for the massless propagator usually obtained using the Feynman diagrammatic technique is recovered without having to perform any explicit renormalization.