Anomalous dimension of the gluon operator in pure Yang-Mills theory

Journal Article · Sat Apr 15 00:00:00 EDT 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.4550· OSTI ID:6475761

Harris, B W; Smith, J ^[1]

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1. Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794-3840 (United States)

We present new one loop calculations that confirm the theorems of Joglekar and Lee on the renormalization of composite operators. We do this by considering physical matrix elements with the operators inserted at [ital nonzero] momentum. The resulting IR singularities are regulated dimensionally. We show that the physical matrix element of the BRST exact gauge-variant operator which appears in the energy-momentum tensor is zero. We then show that the physical matrix elements of the classical energy-momentum tensor and the gauge-invariant twist-two gluon operator are independent of the gauge-fixing parameter. A Sudakov factor appears in the latter cases. The universality of this factor and the UV finiteness of the energy-momentum tensor provide another method of finding the anomalous dimension of the gluon operator. We conjecture that this method applies to higher loops and takes full advantage of the triangularity of the mixing matrix.

• OSTI ID: 6475761
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 51:8; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
GLUONS
FIELD OPERATORS
YANG-MILLS THEORY
ENERGY-MOMENTUM TENSOR
GAUGE INVARIANCE
MATRIX ELEMENTS
MIXING
RENORMALIZATION
BOSONS
ELEMENTARY PARTICLES
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
POSTULATED PARTICLES
QUANTUM OPERATORS
TENSORS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662230 - Quantum Chromodynamics- (1992-)