Cut vertices and their renormalization: A generalization of the Wilson expansion

Journal Article · Wed Nov 15 04:00:00 EST 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.18.3705· OSTI ID:6465243

Mueller, A H

Cut vertices, a generalization of matrix elements of composite operators, are introduced. Their renormalization is discussed. The Bogalubov-Parasink-Hepp-Zimmermann method of renormalization of cut vertices allows one to obtain a generalization of the Wilson expansion where cut vertices multiplied by singular functions appear rather than local operators times singular functions. A Callan-Symanzik equation for the moments of the structure function in e/sup +/ + e/sup -/ ..-->.. hadron (p) + anything is derived. This equation is valid to all orders of perturbation theory in both gauge and nongauge theories. Expamples of renormalization through the two-loop level are given.

• Research Organization: Department of Physics, Columbia University, New York, New York 10027
• OSTI ID: 6465243
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 18:10; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645202* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Electromagnetic Interactions & Properties
645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANNIHILATION
BASIC INTERACTIONS
ELECTROMAGNETIC INTERACTIONS
ELECTRON-POSITRON INTERACTIONS
ELEMENTARY PARTICLES
FIELD THEORIES
GAUGE INVARIANCE
HADRONS
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTON-LEPTON INTERACTIONS
MATRIX ELEMENTS
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
PERTURBATION THEORY
PHI4-FIELD THEORY
QUANTUM FIELD THEORY
RENORMALIZATION