1994/03/21 by John C. Collins, R. Scalise, Randall J. Scalise · 3 citations
Mathematics · Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.50.4117
published as Phys.Rev. D50 (1994) 4117-4136 · 52 pages, uuencoded compressed PostScript, PSU/TH/141. [Minor typo- graphical errors in the references and in Eqs. (A.5) and (A.7) corrected.]
arxiv created 1994/03/21 · openalex publication_date 1994/09/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.