Asymptotic behavior of composite-particle form factors and the renormalization group

Journal Article · Sat Mar 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.1636· OSTI ID:5470595

Duncan, A; Mueller, A H

Composite-particle form factors are studied in the limit of large momentum transfer Q. It is shown that in models with spinor constituents and either scalar or gauge vector gluons, the meson electromagnetic form factor factorizes at large Q/sup 2/ and is given by independent light-cone expansions on the initial and final meson legs. The coefficient functions are shown to satisfy a Callan-Symanzik equation. When specialized to quantum chromodynamics, this equation leads to the asymptotic formula of Brodsky and Lepage for the pion electromagnetic form factor. The nucleon form factors G/sub M/(Q/sup 2/), G/sub E/(Q/sup 2/) are also considered. It is shown that momentum flows which contribute to subdominant logarithms in G/sub M/(Q/sup 2/) vitiate a conventional renormalization-group interpretation for this form factor. For large Q/sup 2/, the electric form factor G/sub E/(Q/sup 2/) fails to factorize, so that a renormalization-group treatment seems even more unlikely in this case.

• Research Organization: Department of Physics, Columbia University, New York, New York 10027
• OSTI ID: 5470595
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
CHIRALITY
COMPOSITE MODELS
ELEMENTARY PARTICLES
FIELD THEORIES
FORM FACTORS
FUNCTIONS
GAUGE INVARIANCE
GLUONS
INVARIANCE PRINCIPLES
LIGHT CONE
MATHEMATICAL MODELS
MATRIX ELEMENTS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE-TIME
SPINORS
WAVE FUNCTIONS