Anomalous Dimensions and the Adler-bardeen Theorem in Supersymmetric {Yang-Mills} Theories

Aug, 1983
4 pages
Published in:
  • Phys.Lett.B 134 (1984) 63-66
  • Published: 1984
Report number:
  • MPI-PAE/PTh 49/83

Citations per year

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Abstract: (Elsevier)
We analyze the Adler-Bardeen anomaly in a way which does not depend on a particular renormalization scheme and find that the validity of the Adler-Bardeen theorem is related to the fact that g 2 F ∗ F does not need any multiplicative renormalization in a gauge invariant regularization scheme. In supersymmetric theories the Adler-Bardeen theorem is still valid provided F ∗ F is minimally renormalized. Only in a particular subtraction scheme, however, does this choice of renormalization of F ∗ F agree with that obtained by rearranging the ∂ μ J 5 μ component of the supercurrent anomaly equation. In general schemes, F ∗ F acquires an anomalous dimension through an additional finite renormalization.
  • SUPERSYMMETRY
  • GAUGE FIELD THEORY: YANG-MILLS
  • CURRENT: ANOMALY
  • RENORMALIZATION: REGULARIZATION