Implications of script N sign = 1 supersymmetry for QCD conformal operators

A. V. Belitsky, D. Müller, A. Schäfer

Research output: Contribution to journalArticle

29 Scopus citations

Abstract

We prove a set of identities for the anomalous dimensions of the quark and gluon conformal operators in the flavour singlet channel in QCD. These relations arise from the graded commutator algebra of the script N sign = 1 superconformal group. We evaluate the rotation matrices for the quantities under study from the conventional dimensional regularization to the supersymmetry preserving regularization scheme. Using them we verify the equalities in two-loop approximation employing the results for the NLO anomalous dimensions of the conformal operators in the minimal subtraction scheme derived earlier.

Original languageEnglish (US)
Pages (from-to)126-135
Number of pages10
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume450
Issue number1-3
DOIs
StatePublished - Jan 1 1999
Externally publishedYes

Keywords

  • Anomalous dimensions
  • Conformal operators
  • Dimensional reduction
  • Superconformal algebra
  • Ward identities

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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