Feynman rules for non-perturbative sectors and anomalous supersymmetry Ward identities

Details Feynman rules for non-perturbative sectors and anomalous supersymmetry Ward identities Feynman rules for non-perturbative sectors and anomalous supersymmetry Ward identities

1999-08-09

arxiv.org/abs/hep-th/9908074v1

Physics

High Energy Physics

High Energy Physics - Theory

57 pages, 13 figures, latex2e, epsf

Scientific paper

We show that supersymmetry Ward identities contain an anomalous term which takes the form of a surface term in Hilbert space. In the one-instanton sector the anomalous term is the integral of a total rho-derivative where rho is the instanton's size. There are cases where the anomalous term is non-zero, and cannot be modified by subtractions. This constitutes a supersymmetry anomaly. The derivation is based on Feynman rules suitable for any non-perturbative sector of a weakly-coupled, renormalizable gauge theory.

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