Algebraic renormalization of supersymmetric gauge theories with dimensionful parameters

Details Algebraic renormalization of supersymmetric gauge theories with dimensionful parameters Algebraic renormalization of supersymmetric gauge theories with dimensionful parameters

2010-04-22

arxiv.org/abs/1004.3860v3

Physics

High Energy Physics

High Energy Physics - Theory

Final version, typoes fixed. Revtex, 48 pages

Scientific paper

It is usually believed that there are no perturbative anomalies in supersymmetric gauge theories beyond the well-known chiral anomaly. In this paper we revisit this issue, because previously given arguments are incomplete. Specifically, we rule out the existence of soft anomalies, i.e., quantum violations of supersymmetric Ward identities proportional to a mass parameter in a classically supersymmetric theory. We do this by combining a previously proven theorem on the absence of hard anomalies with a spurion analysis, using the methods of Algebraic Renormalization. We work in the on-shell component formalism throughout. In order to deal with the nonlinearity of on-shell supersymmetry transformations, we take the spurions to be dynamical, and show how they nevertheless can be decoupled.

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