Supercurrent and the Adler-Bardeen theorem in coupled supersymmetric Yang-Mills theories

Journal Article · Sat Nov 14 23:00:00 EST 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.36.3148· OSTI ID:5582749

Ensign, P; Mahanthappa, K T

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), Journal Name: Phys. Rev. D; (United States) Vol. 36:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRAIC CURRENTS
CONSERVATION LAWS
CURRENTS
FIELD THEORIES
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MULTIPLETS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SUPERMULTIPLETS
SUPERSYMMETRY
SYMMETRY
YANG-MILLS THEORY