Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-03-04
Phys.Rev. D50 (1994) 4117-4136
Physics
High Energy Physics
High Energy Physics - Phenomenology
52 pages, uuencoded compressed PostScript, PSU/TH/141. [Minor typo- graphical errors in the references and in Eqs. (A.5) and (
Scientific paper
10.1103/PhysRevD.50.4117
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 infra-red singularities that appear when gluonic matrix elements are taken on-shell at zero momentum transfer. Keywords: twist-two covariant gluon operator, finite part, mixing, non-abelian, anomalous dimension, Ward identity, BRST, modified LSZ reduction, Dixon, Taylor, Joglekar, Lee.
Collins John C.
Scalise Randall J.
No associations
LandOfFree
The Renormalization of Composite Operators in Yang-Mills Theories Using General Covariant Gauge does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Renormalization of Composite Operators in Yang-Mills Theories Using General Covariant Gauge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Renormalization of Composite Operators in Yang-Mills Theories Using General Covariant Gauge will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-346290