Theory of gauge-invariant operators: Their renormalization and S-matrix elements
Journal Article
·
· Phys. Rev., D; (United States)
The renormalization of gauge-invariant operators in Yang-Mills theories is discussed. An important property of the relevant Ward identities is used to show that the coupling of a subset of these (those which do not vanish by the equations of motion) to other operators takes a simple form. It is also shown that the renormalization constants appropriate to this set are independent of the gauge parameter. It is demonstrated that in certain important applications, for example the calculation of deep-inelastic scattering using the operator-product expansion, only the operators in this set are physically relevant.
- Research Organization:
- Department of Natural Philosophy, The University, Glasgow, G12 8QQ, Scotland
- OSTI ID:
- 6679943
- Journal Information:
- Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:4; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DEEP INELASTIC SCATTERING
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
INELASTIC SCATTERING
INTERACTIONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
MATHEMATICAL OPERATORS
MATRICES
MATRIX ELEMENTS
PARTICLE INTERACTIONS
QUANTUM OPERATORS
RENORMALIZATION
S MATRIX
SCATTERING
SPACE-TIME
WARD IDENTITY
YANG-MILLS THEORY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DEEP INELASTIC SCATTERING
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FUNCTIONS
GAUGE INVARIANCE
GREEN FUNCTION
INELASTIC SCATTERING
INTERACTIONS
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
MATHEMATICAL OPERATORS
MATRICES
MATRIX ELEMENTS
PARTICLE INTERACTIONS
QUANTUM OPERATORS
RENORMALIZATION
S MATRIX
SCATTERING
SPACE-TIME
WARD IDENTITY
YANG-MILLS THEORY