Non-renormalization theorems without supergraphs: The Wess-Zumino model

Abstract

The non-renormalization theorems of chiral vertex functions are derived on the basis of an algebraic analysis. The property, that the interaction vertex is a second supersymmetry variation of a lower dimensional field monomial, is used to relate chiral Green functions to superficially convergent Green functions by extracting the two supersymmetry variations from an internal vertex and transforming them to derivatives acting on external legs. The analysis is valid in the massive as well as in the massless model and can be performed irrespective of properties of the superpotential at vanishing momentum.

20 pages, Latex, added acknowledgments

References in corpus (1)

• Naturalness Versus Supersymmetric Non-renormalization Theorems

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• Renormalization of the Minimal Supersymmetric Standard Model
• N=2 Super Yang Mills Action and BRST Cohomology
• No Supersymmetry without Supergravity: Induced Supersymmetry Representations on Composite Effective Fields