Supercurrent and the Adler-Bardeen theorem in coupled supersymmetric Yang-Mills theories
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.
- Research Organization:
- Physics Department, Box 390, University of Colorado, Boulder, Colorado 80309
- OSTI ID:
- 5582749
- Journal Information:
- Phys. Rev. D; (United States), Vol. 36:10
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
YANG-MILLS THEORY
SUPERSYMMETRY
ALGEBRAIC CURRENTS
CONSERVATION LAWS
GAUGE INVARIANCE
QUANTUM CHROMODYNAMICS
SUPERMULTIPLETS
CURRENTS
FIELD THEORIES
INVARIANCE PRINCIPLES
MULTIPLETS
QUANTUM FIELD THEORY
SYMMETRY
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