The Supercurrent and the Adler-bardeen Theorem

Jun, 1985
31 pages
Published in:
  • Nucl.Phys.B 266 (1986) 589-619
  • Published: 1986
Report number:
  • Print-85-0447 (UTRECHT)

Citations per year

19861995200420132022012345
Abstract: (Elsevier)
When supersymmetric theories are regularized by dimensional reduction in superspace the supercurrent is a n -vector and the breaking of superconformal invariance by the regularization gives rise to supertrace anomalies proportional to the β-function. We construct the composite renormalized operator that describes it and study its properties. We construct a distinct four-dimensional composite operator and show that its first component satisfies the Adler-Bardeen theorem. Our results are based on explicit calculations through two-loop order for both the Wess-Zumino model and SSYM, using the background field method and covariant supergraphs.
  • SUPERSYMMETRY: CURRENT
  • RENORMALIZATION: REGULARIZATION
  • Wess-Zumino model
  • GAUGE FIELD THEORY: YANG-MILLS
  • FIELD THEORY: BACKGROUND FIELD
  • RENORMALIZATION: BETA FUNCTION
  • ANOMALY
  • QUANTUM ELECTRODYNAMICS
  • FEYNMAN GRAPH: HIGHER-ORDER
  • FEYNMAN GRAPH