English

Non-renormalization theorems from extension to local coupling

High Energy Physics - Theory 2007-05-23 v1

Abstract

The extension of coupling constants to space-time dependent fields, the local couplings, makes possible to derive the non-renormalization theorems of supersymmetry by an algebraic characterization of Lagrangian N=1 supermultiplets. For super-Yang-Mills theories the construction implies non-renormalization of the coupling beyond one-loop order. However, renormalization in presence of the local gauge coupling is peculiar due to a new anomaly in one-loop order, which appears as an anomaly of supersymmetry in the Wess-Zumino gauge. As an application we derive the closed all-order expression for the gauge β\beta function and prove the non-renormalization of general N=2 supersymmetric theories from a cancellation of the susy anomaly.

Keywords

Cite

@article{arxiv.hep-th/0211085,
  title  = {Non-renormalization theorems from extension to local coupling},
  author = {Elisabeth Kraus},
  journal= {arXiv preprint arXiv:hep-th/0211085},
  year   = {2007}
}

Comments

Talk presented at the 10th International Conference on Supersymmetry and Unification of Fundamental Interactions (SUSY 02), DESY, Hamburg, Germany