Abstract
The auxiliary mass BPHZ renormalization procedure is extended to include theories defined in superspace. Ultraviolet and infrared power counting formulas for Feynman integrands in superspace are derived. A general momentum-superspace subtraction scheme is given which allows time-ordered Green functions of superfields to be defined as tempered distributions. Superfield normal product Green functions are introduced and the Zimmermann identity relating differently subtracted such products is established. Finally normal product field equations and the renormalized quantum action principle in superspace are derived.
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