The Supercurrent and the Adler-bardeen Theorem in Coupled Supersymmetric {Yang-Mills} Theories

Jun, 1987
77 pages
Published in:
  • Phys.Rev.D 36 (1987) 3148
Report number:
  • COLO-HEP-150

Citations per year

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Abstract: (APS)
We construct the supercurrent and a supersymmetric current which satisfies the Adler-Bardeen theorem in supersymmetric Yang-Mills theory coupled to non-self-interacting chiral matter. Using the formulation recently developed by Grisaru, Milewski, and Zanon, supersymmetry and gauge invariance are maintained with supersymmetric background-field theory and regularization by dimensional reduction. We verify the finiteness of the supercurrent to one loop, and the Adler-Bardeen theorem to two loops by explicit calculations in the minimal-subtraction scheme. We then demonstrate the subtraction-scheme independence of the one-loop Adler-Bardeen anomaly and prove the existence of a subtraction scheme in which the Adler-Bardeen theorem is satisfied to all orders in perturbation theory.
  • GAUGE FIELD THEORY: YANG-MILLS
  • SUPERSYMMETRY: SUPERFIELD
  • COUPLING: MATTER
  • MATTER: COUPLING
  • ANOMALY
  • PERTURBATION THEORY: HIGHER-ORDER
  • RENORMALIZATION: REGULARIZATION
  • CURRENT