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

Journal Article · Thu Sep 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.4117· OSTI ID:7073177

Collins, J C; Scalise, R J ^[1]

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1. The Pennsylvania State University, Department of Physics, 104 Davey Laboratory, University Park, Pennsylvania 16802 (United States)

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.

• OSTI ID: 7073177
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 50:6; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
YANG-MILLS THEORY
RENORMALIZATION
ENERGY-MOMENTUM TENSOR
FACTORIZATION
GAUGE INVARIANCE
GREEN FUNCTION
MATRIX ELEMENTS
MOMENTUM TRANSFER
OPERATOR PRODUCT EXPANSION
QUANTUM CHROMODYNAMICS
SINGULARITY
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
QUANTUM FIELD THEORY
SERIES EXPANSION
TENSORS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662230 - Quantum Chromodynamics- (1992-)