Renormalization of composite operators in Yang-Mills theories using a general covariant gauge

J. C. Collins, R. J. Scalise

Research output: Contribution to journalArticle

33 Scopus citations

Abstract

Essential to QCD applications of the operator product expansion, etc., is a knowledge of those operators that mix with gauge-invariant operators. A standard theorem asserts that the renormalization matrix is triangular: Gauge-invariant operators have alien gauge-variant operators among their counterterms, but, with a suitably chosen basis, the necessary alien operators have only themselves as counterterms. Moreover, the alien operators are supposed to vanish in physical matrix elements. A recent calculation by Hamberg and van Neerven apparently contradicts these results. By explicit calculations with the energy-momentum tensor, we show that the problems arise because of subtle infrared singularities that appear when gluonic matrix elements are taken on shell at zero momentum transfer.

Original languageEnglish (US)
Pages (from-to)4117-4136
Number of pages20
JournalPhysical Review D
Volume50
Issue number6
DOIs
StatePublished - Jan 1 1994

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

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