Confinement, form factors, and deep-inelastic scattering in two-dimensional quantum chromodynamics

Journal Article · Wed Dec 15 04:00:00 EST 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.14.3451· OSTI ID:7240133

Einhorn, M B

We clarify the gauge invariance, infrared structure, and completeness of 't Hooft's solution for the meson sector of two-dimensional quantum chromodynamics. Electromagnetic form factors of mesons are then shown to obey an asymptotic power law, whose power is dynamically determined and is not related to the short-distance behavior of the theory. Following a review of the total annihilation cross section for producing hadrons, we discuss deep-inelastic lepton scattering. As expected, Bjorken scaling is obtained, but we show how the sum over hadronic final states reproduces the parton model precisely. The Drell-Yan-West relation and Bloom-Gilman duality are fulfilled for the relation between the scaling function and form factors. We conclude by speculating on the applicability of our picture of form factors to the real, four-dimensional world. We argue that this is a viable alternative to dimensional scaling and, phenomenologically, the differences between our predictions and the dimensional counting rules are slight for light quarks. Finally, we attempt to abstract those features of the model which may guide us toward a solution to the four-dimensional problem. (AIP)

• Research Organization: Fermi National Accelerator Laboratory, Batavia, Illinois 60510
• OSTI ID: 7240133
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 14:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
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
ASYMPTOTIC SOLUTIONS
BASIC INTERACTIONS
BOSONS
CHARM PARTICLES
COLOR MODEL
COMPOSITE MODELS
CROSS SECTIONS
DEEP INELASTIC SCATTERING
DRELL MODEL
DUALITY
ELECTROMAGNETIC FORM FACTORS
ELECTROMAGNETIC INTERACTIONS
ELEMENTARY PARTICLES
FORM FACTORS
GAUGE INVARIANCE
GLUON MODEL
HADRONS
INELASTIC SCATTERING
INFRARED DIVERGENCES
INTERACTIONS
INVARIANCE PRINCIPLES
LEPTON-BARYON INTERACTIONS
LEPTON-HADRON INTERACTIONS
LEPTON-NUCLEON INTERACTIONS
MATHEMATICAL MODELS
MESONS
PARTICLE INTERACTIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PARTON MODEL
PERTURBATION THEORY
POSTULATED PARTICLES
QUARK MODEL
SCALING LAWS
SCATTERING
SPACE-TIME
STRONG INTERACTIONS
TOTAL CROSS SECTIONS
TWO-DIMENSIONAL CALCULATIONS