Next-to-leading order evolution of twist-two conformal operators

The Abelian case

Andrei Belitsky, D. Müller

Research output: Contribution to journalArticle

51 Citations (Scopus)

Abstract

We present a method, based on the use of the broken conformal Ward identities, for the calculation of the anomalous dimensions of conformal operators beyond the leading order of perturbation theory. By means of this technique we find the complete set of two-loop corrections to the off-diagonal elements of the anomalous dimension matrix (the diagonal ones are known from deep inelastic scattering calculations) of the parity-odd and parity-even singlet local operators in the Abelian gauge theory. We reconstruct corresponding exclusive two-loop evolution kernels and give the reduction formulae for the restoration of the diagonal part of the ER-BL kernels from the DGLAP splitting functions.

Original languageEnglish (US)
Pages (from-to)207-234
Number of pages28
JournalNuclear Physics B
Volume527
Issue number1-2
StatePublished - Aug 31 1998
Externally publishedYes

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parity
operators
restoration
gauge theory
inelastic scattering
perturbation theory

Keywords

  • Anomalous dimensions
  • Conformal anomalies
  • Conformal Ward identities
  • Evolution equations

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Next-to-leading order evolution of twist-two conformal operators : The Abelian case. / Belitsky, Andrei; Müller, D.

In: Nuclear Physics B, Vol. 527, No. 1-2, 31.08.1998, p. 207-234.

Research output: Contribution to journalArticle

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